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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze209.0ms (1.9%)

Memory

19.4MiB live, 263.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.3s (20.6%)

Memory

30.7MiB live, 1 863.0MiB allocated

Samples

1.6s	3 932×	1	valid
306.0ms	4 324×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-tan: 572.0ms (39.1% of total)

ival-sin: 549.0ms (37.6% of total)

ival-div: 192.0ms (13.1% of total)

ival-mult: 67.0ms (4.6% of total)

adjust: 65.0ms (4.4% of total)

ival-true: 7.0ms (0.5% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain142.0ms (1.3%)

Memory

-24.1MiB live, 227.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	37	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	37
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	37	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	37
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	30	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	30
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	30
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	30
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	30

Confusion

	Predicted +	Predicted -
+	161	0
-	0	95

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	161	0	0
-	0	0	95

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	95
1	30
2	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	256×	1	valid
17.0ms	256×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 17.0ms (33% of total)

ival-sin: 13.0ms (25.2% of total)

ival-tan: 13.0ms (25.2% of total)

ival-mult: 4.0ms (7.8% of total)

adjust: 3.0ms (5.8% of total)

ival-true: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

preprocess26.0ms (0.2%)

Memory

4.1MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`associate-/r*`
72×	`times-frac`
66×	`sub-neg`
66×	`div-sub`
58×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

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)))))

Rules

12×	`lower-/.f32`
8×	`lower-/.f64`
4×	`lift-/.f64`
4×	`lower-*.f32`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	16	36
2	18	36
0	18	36

Stop Event

1×	iter limit
1×	saturated
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)))

localize47.0ms (0.4%)

Memory

-7.0MiB live, 68.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	7.414145031524759	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	29.45659520354592	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

23.0ms	128×	1	valid
8.0ms	128×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 6.0ms (28.9% of total)

ival-tan: 6.0ms (28.9% of total)

ival-div: 5.0ms (24.1% of total)

adjust: 2.0ms (9.6% of total)

ival-mult: 2.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

0.4MiB live, 37.1MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 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)))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))))))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -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) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -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) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
4.0ms	x	@	0	((/ (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	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
1.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))

simplify257.0ms (2.3%)

Memory

17.5MiB live, 247.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 468×	`lower-fma.f64`
14 468×	`lower-fma.f32`
6 082×	`lower-+.f64`
6 082×	`lower-+.f32`
5 448×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	2054
1	950	2028
2	3392	1926
0	9111	1817

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(* 1/2 (/ x y))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -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)
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(* 1/2 (/ x y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -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))
(* -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))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))

Outputs
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
1
#s(literal 1 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))))
(fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) x) y) (/.f64 x y) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1 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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(/.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))
(* -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))
(/.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))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow 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))
(+ 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))))))
(fma.f64 (fma.f64 (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)))) (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (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)))) (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* 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))))
(fma.f64 (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)))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (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)))) (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* 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))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/645120 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)))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

rewrite120.0ms (1.1%)

Memory

10.7MiB live, 137.8MiB allocated

Rules

2 672×	`lower-*.f32`
2 670×	`lower-*.f64`
2 226×	`lower-/.f32`
2 222×	`lower-/.f64`
1 360×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	33
0	13	33
1	33	33
2	142	28
3	788	28
0	8171	28

Stop Event

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

Counts

5 → 380

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
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eval194.0ms (1.8%)

Memory: -9.3MiB live, 146.5MiB allocated
Compiler: Compiled 13 929 to 1 822 computations (86.9% saved)

prune189.0ms (1.7%)

Memory

4.9MiB live, 124.0MiB allocated

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	633	46	679
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	633	47	680

Accuracy

59.4%

Counts

680 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	52.8%	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))
	26.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))
	41.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
	41.0%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.4%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	28.5%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	24.0%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	16.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.4%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	24.3%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.5%	(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))))
	41.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
▶	42.1%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	28.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))))
	23.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) y) y))))
	16.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))))
	22.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
✓	42.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))))
	41.3%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	41.2%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))
	24.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y))))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	33.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (*.f64 x #s(literal 1/2 binary64))) y)))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.3%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.1%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	41.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.1%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	42.1%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
	37.5%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	18.5%	(.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))
	26.0%	(.f64 (/.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	41.4%	(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (sin.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)))))
▶	46.9%	#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)))
	53.9%	#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))))
▶	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 625 to 1 230 computations (24.3% saved)

simplify76.0ms (0.7%)

Memory

9.9MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))
cost-diff	0	(tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))
cost-diff	0	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	13184	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))
cost-diff	0	(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
cost-diff	0	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
cost-diff	192	(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))
cost-diff	6400	(sin.f64 #s(literal 0 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 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
cost-diff	1088	(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(/.f64 #s(literal 1/8 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Rules

732×	`lower-fma.f32`
730×	`lower-fma.f64`
700×	`lower-*.f32`
688×	`lower-*.f64`
364×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	261
0	72	239
1	100	231
2	138	221
3	189	221
4	237	221
5	280	221
6	442	221
7	601	221
8	855	221
9	1117	221
10	1639	221
11	1923	221
12	2004	221
13	2106	221
14	2158	221
15	2176	221
16	2199	221
17	2218	221
18	2221	221
0	2221	221

Stop Event

1×	iter limit
1×	saturated
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 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) y)
#s(literal 1/8 binary64)
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) 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)
(sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))
(sin.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
(sin.f64 (/.f64 x y))
(/.f64 x y)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal -1/2 binary64)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))

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

localize323.0ms (2.9%)

Memory

5.6MiB live, 246.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.27181625976844204	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))
accuracy	7.414145031524759	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.45659520354592	(tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0.00390625	(*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))
accuracy	7.441488781524759	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
accuracy	29.1597560243033	(sin.f64 (/.f64 x y))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
accuracy	0.25390625	(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
accuracy	7.414145031524759	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
accuracy	29.45659520354592	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.652726736056756	(sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	2.15585135369951	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
accuracy	6.68826852891859	(/.f64 (*.f64 x x) y)
accuracy	32.16157925566269	#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)))
accuracy	29.3446771239539	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

246.0ms	128×	1	valid
37.0ms	128×	0	valid

Compiler

Compiled 251 to 40 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-pow: 57.0ms (36% of total)

ival-sin: 34.0ms (21.5% of total)

ival-div: 27.0ms (17.1% of total)

ival-mult: 14.0ms (8.9% of total)

ival-tan: 12.0ms (7.6% of total)

adjust: 9.0ms (5.7% of total)

ival-add: 4.0ms (2.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series272.0ms (2.5%)

Memory

-90.6MiB live, 165.1MiB allocated

Counts

22 → 468

Calls

Call 1

Inputs
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) y) (patch (/.f64 (.f64 x x) y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 #s(literal 0 binary64)) (patch (sin.f64 #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) (patch (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) y) (patch (/.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) y) (patch (/.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) y) (patch (/.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x x) y) (patch (/.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor 0 y) (#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor 0 y) (#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor 0 y) (#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor 0 y) (#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) (patch (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) (patch (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) (patch (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) (patch (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin (/ x y))) (taylor -inf x) (#s(alt (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin (/ x y))) (taylor -inf x) (#s(alt (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin (/ x y))) (taylor -inf x) (#s(alt (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin (/ x y))) (taylor -inf x) (#s(alt (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ x (* y 2))) (sin (/ (/ -1/2 y) (/ -1 x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (sin 0) (+ (sin 0) (sin (/ x y))) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (/ x (* 2 y))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (* x x) (sin (/ (/ -1/2 y) (/ -1 x))) (sin (/ x y)) (* (+ (sin 0) (sin (/ x y))) 1/2) (sin (/ x (* y 2))))
12.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ x (* y 2))) (sin (/ (/ -1/2 y) (/ -1 x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (sin 0) (+ (sin 0) (sin (/ x y))) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (/ x (* 2 y))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (* x x) (sin (/ (/ -1/2 y) (/ -1 x))) (sin (/ x y)) (* (+ (sin 0) (sin (/ x y))) 1/2) (sin (/ x (* y 2))))
12.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ x (* y 2))) (sin (/ (/ -1/2 y) (/ -1 x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (sin 0) (+ (sin 0) (sin (/ x y))) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (/ x (* 2 y))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (* x x) (sin (/ (/ -1/2 y) (/ -1 x))) (sin (/ x y)) (* (+ (sin 0) (sin (/ x y))) 1/2) (sin (/ x (* y 2))))
11.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ x (* y 2))) (sin (/ (/ -1/2 y) (/ -1 x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (sin 0) (+ (sin 0) (sin (/ x y))) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (/ x (* 2 y))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (* x x) (sin (/ (/ -1/2 y) (/ -1 x))) (sin (/ x y)) (* (+ (sin 0) (sin (/ x y))) 1/2) (sin (/ x (* y 2))))
8.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ x (* y 2))) (sin (/ (/ -1/2 y) (/ -1 x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (sin 0) (+ (sin 0) (sin (/ x y))) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (/ x (* 2 y))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (* x x) (sin (/ (/ -1/2 y) (/ -1 x))) (sin (/ x y)) (* (+ (sin 0) (sin (/ x y))) 1/2) (sin (/ x (* y 2))))

simplify255.0ms (2.3%)

Memory

-25.9MiB live, 297.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 312×	`lower-fma.f64`
11 312×	`lower-fma.f32`
6 030×	`lower-*.f64`
6 030×	`lower-*.f32`
4 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	9769
1	2447	9358
0	8469	8911

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ 1/8 y)
(/ 1/8 y)
(/ 1/8 y)
(/ 1/8 y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* 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)))
(* 1/2 (/ x y))
(* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/10080 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))

Outputs
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 y y)) y) y)
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 y y)) y) y)
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 y y)) y) y)
(/ 1/8 y)
(/.f64 #s(literal 1/8 binary64) y)
(/ 1/8 y)
(/.f64 #s(literal 1/8 binary64) y)
(/ 1/8 y)
(/.f64 #s(literal 1/8 binary64) y)
(/ 1/8 y)
(/.f64 #s(literal 1/8 binary64) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ (* x (pow (sqrt 1/2) 2)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (* x (pow (sqrt 1/2) 2)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (* x (pow (sqrt 1/2) 2)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (* x (pow (sqrt 1/2) 2)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
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(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

rewrite315.0ms (2.8%)

Memory

-2.7MiB live, 242.8MiB allocated

Rules

3 448×	`lower-*.f32`
3 436×	`lower-*.f64`
3 090×	`lower-/.f32`
3 072×	`lower-/.f64`
3 048×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	204
0	72	182
1	228	164
2	1237	137
0	8943	135

Stop Event

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

Counts

22 → 731

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

Outputs
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eval299.0ms (2.7%)

Memory: 5.6MiB live, 269.0MiB allocated
Compiler: Compiled 28 884 to 2 758 computations (90.5% saved)

prune322.0ms (2.9%)

Memory

19.0MiB live, 224.2MiB allocated

Pruning

82 alts after pruning (80 fresh and 2 done)

	Pruned	Kept	Total
New	1 279	45	1 324
Fresh	6	35	41
Picked	3	2	5
Done	1	0	1
Total	1 289	82	1 371

Accuracy

59.7%

Counts

1 371 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	52.8%	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))
	42.0%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.8%	(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	26.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))
	41.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
	41.0%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.6%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
▶	42.4%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	28.5%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	24.0%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	16.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.4%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	24.3%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.5%	(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))))
	41.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
✓	42.1%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	28.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))))
	23.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) y) y))))
	16.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))))
	22.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))))
	41.3%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	41.2%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))
	41.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	26.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	24.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y))))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	33.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (/ -1/2 y) (/ -1 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)) y)))
	31.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (/ -1/2 y) (/ -1 x))) (.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (/ -1/2 y) (/ -1 x))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.3%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.8%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.1%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.5%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))
	41.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))))
	41.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))))
	41.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))))
	41.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	41.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	37.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	39.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.5%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 #s(approx (pow ( 2 y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) y))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.8%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	26.8%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.2%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	39.3%	(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.2%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( 2 y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.4%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	38.1%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.0%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))
	41.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
	18.4%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	42.1%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
	37.7%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx ( (+ (sin 0) (sin (/ x y))) 1/2) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.4%	(/.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) (/.f64 #s(literal -1 binary64) x))))
	37.5%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	33.3%	(/.f64 #s(approx (sin (/ x (* 2 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)) y)) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
▶	31.0%	(/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))))
▶	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	41.2%	(.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	41.4%	(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (sin.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)))))
	41.4%	(.f64 (neg.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	53.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ (/ -1/2 y) (/ -1 x)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	49.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
	44.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)))
	27.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 y y)) y) y)))
▶	2.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)))
✓	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 195 to 2 313 computations (27.6% saved)

simplify423.0ms (3.8%)

Memory

-11.6MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
cost-diff	256	(.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	576	(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))
cost-diff	960	(/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
cost-diff	192	(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))
cost-diff	5760	(fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	6400	(sin.f64 #s(literal 0 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	1088	(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x)
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)
cost-diff	0	#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
cost-diff	0	(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))

Rules

21 840×	`lower-fma.f32`
21 838×	`lower-fma.f64`
3 344×	`lower-*.f32`
3 324×	`lower-*.f64`
2 040×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	407
0	103	409
1	154	401
2	260	385
3	455	379
4	703	376
5	835	375
6	1166	374
7	2330	374
8	3752	374
9	4960	374
10	5417	374
11	5666	374
12	5873	374
13	6077	374
14	6420	374
15	6616	374
16	6682	374
17	6763	374
18	6953	374
19	6975	374
20	6981	374
21	6987	374
22	6991	374
23	6991	374
24	7882	374
0	8306	369

Stop Event

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

Calls

Call 1

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

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

localize478.0ms (4.3%)

Memory

-12.6MiB live, 342.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.414145031524759	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	29.45659520354592	(tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	31.09532215575097	(pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))
accuracy	7.441488781524759	(/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))
accuracy	12.170515598701039	(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64)))
accuracy	29.1597560243033	(sin.f64 (/.f64 x y))
accuracy	32.20867880286807	#s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
accuracy	0.25390625	(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
accuracy	7.414145031524759	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.45659520354592	(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	4.0234093036284255	(.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)
accuracy	7.183509127380615	(*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x)
accuracy	30.09611851187567	#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))
accuracy	32.16157925566269	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
accuracy	29.379737974135686	(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))

Samples

349.0ms	128×	1	valid
61.0ms	128×	0	valid

Compiler

Compiled 349 to 59 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 110.0ms (31.8% of total)

ival-tan: 85.0ms (24.6% of total)

ival-sin: 46.0ms (13.3% of total)

ival-div: 43.0ms (12.4% of total)

ival-pow: 32.0ms (9.3% of total)

adjust: 10.0ms (2.9% of total)

ival-cos: 7.0ms (2% of total)

const: 6.0ms (1.7% of total)

ival-add: 5.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

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

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

series168.0ms (1.5%)

Memory

11.1MiB live, 293.1MiB allocated

Counts

26 → 552

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) (patch #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) (patch (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) (patch (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (sin.f64 #s(literal 0 binary64)) (patch (sin.f64 #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (patch #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (patch (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (sin (/ x ( 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
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#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) (patch #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) (patch #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) (patch #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) (patch #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) (patch (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) (patch (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) (patch (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) (patch (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) (patch (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) (patch (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) (patch (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) (patch (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (/ (pow x 2) (pow y 3))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y))))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y))))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (sin (/ x ( 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (sin (/ x ( 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (sin (/ x ( 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (sin (/ x (* 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (sin (/ x ( 2 y))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ (/ 1/8 y) y) x) x) (* (/ (/ 1/8 y) y) x) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin 0) (+ (* (/ (* x x) (pow y 3)) -1/48) (/ 1/2 y)) (+ (sin 0) (sin (/ x y))) (sin (/ x (* 2 y))) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)) (/ (pow 4 -1/4) -1) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (sin (/ x y)) (/ (* x x) (pow y 3)) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (pow (* y (* 2 y)) -1/2) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))))
30.0ms	x	@	inf	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ (/ 1/8 y) y) x) x) (* (/ (/ 1/8 y) y) x) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin 0) (+ (* (/ (* x x) (pow y 3)) -1/48) (/ 1/2 y)) (+ (sin 0) (sin (/ x y))) (sin (/ x (* 2 y))) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)) (/ (pow 4 -1/4) -1) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (sin (/ x y)) (/ (* x x) (pow y 3)) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (pow (* y (* 2 y)) -1/2) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))))
27.0ms	y	@	inf	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ (/ 1/8 y) y) x) x) (* (/ (/ 1/8 y) y) x) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin 0) (+ (* (/ (* x x) (pow y 3)) -1/48) (/ 1/2 y)) (+ (sin 0) (sin (/ x y))) (sin (/ x (* 2 y))) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)) (/ (pow 4 -1/4) -1) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (sin (/ x y)) (/ (* x x) (pow y 3)) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (pow (* y (* 2 y)) -1/2) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))))
17.0ms	y	@	-inf	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ (/ 1/8 y) y) x) x) (* (/ (/ 1/8 y) y) x) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin 0) (+ (* (/ (* x x) (pow y 3)) -1/48) (/ 1/2 y)) (+ (sin 0) (sin (/ x y))) (sin (/ x (* 2 y))) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)) (/ (pow 4 -1/4) -1) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (sin (/ x y)) (/ (* x x) (pow y 3)) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (pow (* y (* 2 y)) -1/2) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))))
16.0ms	x	@	0	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ (/ 1/8 y) y) x) x) (* (/ (/ 1/8 y) y) x) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin 0) (+ (* (/ (* x x) (pow y 3)) -1/48) (/ 1/2 y)) (+ (sin 0) (sin (/ x y))) (sin (/ x (* 2 y))) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)) (/ (pow 4 -1/4) -1) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (sin (/ x y)) (/ (* x x) (pow y 3)) (/ (sin (/ x (* 2 y))) (* (+ (sin 0) (sin (/ x y))) 1/2)) (pow (* y (* 2 y)) -1/2) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))))

simplify217.0ms (2%)

Memory

18.0MiB live, 329.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 660×	`lower-fma.f64`
10 660×	`lower-fma.f32`
6 690×	`lower-*.f64`
6 690×	`lower-*.f32`
4 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	11360
1	2352	10706
0	8262	10304

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(* -1/48 (/ (pow x 2) (pow y 3)))
(/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))
(/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))
(/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* -1 (/ (* x (sqrt 1/2)) y))
(* -1 (/ (* x (sqrt 1/2)) y))
(* -1 (/ (* x (sqrt 1/2)) y))
(* -1 (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
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(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
1
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(+ 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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(/ 1 (cos (* -1/2 (/ x y))))
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(/ 1 (cos (* -1/2 (/ x y))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
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(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))

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

rewrite218.0ms (2%)

Memory

1.6MiB live, 356.5MiB allocated

Rules

5 368×	`lower-/.f32`
5 338×	`lower-/.f64`
5 308×	`lower-*.f32`
5 288×	`lower-*.f64`
3 002×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	300
0	103	299
1	340	279
2	2095	273
0	9342	271

Stop Event

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

Counts

26 → 770

Calls

Call 1

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

Outputs
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eval206.0ms (1.9%)

Memory: 11.6MiB live, 432.9MiB allocated
Compiler: Compiled 38 016 to 4 615 computations (87.9% saved)

prune161.0ms (1.5%)

Memory

2.7MiB live, 259.4MiB allocated

Pruning

73 alts after pruning (69 fresh and 4 done)

	Pruned	Kept	Total
New	1 377	22	1 399
Fresh	28	47	75
Picked	3	2	5
Done	0	2	2
Total	1 408	73	1 481

Accuracy

61.5%

Counts

1 481 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	52.8%	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))
	41.8%	(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))
	41.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
	41.0%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.6%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
✓	42.4%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	28.5%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.4%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	24.3%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
✓	42.1%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	28.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))))
	23.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) y) y))))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	41.3%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	41.2%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))
	41.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	24.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y))))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	38.3%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.8%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.1%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))))
	41.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))))
	41.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	37.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) y))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
▶	41.8%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	25.2%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) y))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	25.3%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) y)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.3%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (pow ( y (* 2 y)) -1/2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 y))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.0%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (pow ( y (* 2 y)) -1/2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.1%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow ( y (* 2 y)) -1/2) (/ -1 x)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.2%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	39.3%	(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.2%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( 2 y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.4%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	38.1%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	4.2%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.9%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
	18.4%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	42.1%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/2 binary64) x)))))
	53.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
▶	40.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
✓	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
▶	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
	47.5%	(/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) -1/2)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
	41.2%	(.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	44.4%	#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64)))
	49.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
	2.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y (.f64 x x)) y))))
▶	3.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x)))
✓	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	41.1%	#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (cos.f64 (.f64 (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))))
	53.4%	#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
	6.7%	#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))

Compiler

Compiled 2 682 to 2 016 computations (24.8% saved)

simplify124.0ms (1.1%)

Memory

0.1MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	256	(.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
cost-diff	576	(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff	960	(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))
cost-diff	0	(tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))))
cost-diff	0	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	0	(cos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
cost-diff	8128	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x)))
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	(cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))

Rules

3 362×	`lower-*.f32`
3 340×	`lower-*.f64`
2 396×	`lower-fma.f64`
2 396×	`lower-fma.f32`
1 172×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	454
0	111	433
1	178	421
2	354	405
3	754	393
4	1543	385
5	3337	384
6	5371	379
7	6378	369
8	6936	369
9	7330	369
10	7670	369
0	8058	367

Stop Event

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

Calls

Call 1

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

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

localize376.0ms (3.4%)

Memory

-16.0MiB live, 427.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28125	(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy	7.414145031524759	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	29.45659520354592	(tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	7.414145031524759	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.45659520354592	(tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))))
accuracy	29.652726736056756	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	55.171451564154566	#s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
accuracy	0.21064379884221007	(pow.f64 (/.f64 y x) #s(literal -2 binary64))
accuracy	29.379737974135686	(cos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64)))
accuracy	33.547882546335096	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y)))
accuracy	4.0234093036284255	(.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x)
accuracy	6.977325148549554	(/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y))
accuracy	30.09611851187567	#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x))
accuracy	32.16157925566269	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) y)
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
accuracy	0.1796875	(*.f64 x (/.f64 #s(literal -1/2 binary64) y))
accuracy	29.379737974135686	(cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))

Samples

257.0ms	128×	1	valid
65.0ms	128×	0	valid

Compiler

Compiled 388 to 66 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-div: 93.0ms (32.8% of total)

ival-pow: 62.0ms (21.9% of total)

ival-mult: 58.0ms (20.5% of total)

ival-tan: 23.0ms (8.1% of total)

adjust: 16.0ms (5.6% of total)

ival-cos: 13.0ms (4.6% of total)

ival-sin: 9.0ms (3.2% of total)

ival-neg: 3.0ms (1.1% of total)

ival-sub: 2.0ms (0.7% of total)

ival-sqrt: 2.0ms (0.7% of total)

ival-add: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series156.0ms (1.4%)

Memory

9.0MiB live, 200.9MiB allocated

Counts

26 → 564

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) y))) (patch (cos.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(literal -1/2 binary64) y)) (patch (.f64 x (/.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x))) (patch #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x)) (patch #s(approx (+ ( (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 #s(approx ( (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (patch (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) (patch #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (patch (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) (patch (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) (patch (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())
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Outputs
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#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)) (taylor -inf x) (#s(alt #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) (patch #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)) (taylor -inf x) (#s(alt #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) (patch #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) (patch (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) (patch (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) (patch (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) (patch (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) (patch (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) (patch (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) (patch (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) (patch (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (patch (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	y	@	-inf	((/ 1 (cos (* x (/ -1/2 y)))) (cos (* x (/ -1/2 y))) (* x (/ -1/2 y)) (/ -1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* x 1/8) (* y y) (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) (- 0 (pow (/ y x) -2)) (/ 1 (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2))) (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2)) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (* (* (neg (pow 1/4 1/4)) x) (/ (sqrt 1/2) y)) (/ (pow y -1/2) (/ -1 x)) (/ (pow (* (* 2 y) 2) -1/2) -1) (* (* 2 y) 2) (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x))) (/ (* x 1/8) (* y y)) (* (/ (* x 1/8) (* y y)) x) (pow (/ y x) -2) (sin (/ x (* y 2))) (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (/ (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (sin (/ x (* y 2)))))
29.0ms	x	@	inf	((/ 1 (cos (* x (/ -1/2 y)))) (cos (* x (/ -1/2 y))) (* x (/ -1/2 y)) (/ -1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* x 1/8) (* y y) (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) (- 0 (pow (/ y x) -2)) (/ 1 (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2))) (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2)) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (* (* (neg (pow 1/4 1/4)) x) (/ (sqrt 1/2) y)) (/ (pow y -1/2) (/ -1 x)) (/ (pow (* (* 2 y) 2) -1/2) -1) (* (* 2 y) 2) (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x))) (/ (* x 1/8) (* y y)) (* (/ (* x 1/8) (* y y)) x) (pow (/ y x) -2) (sin (/ x (* y 2))) (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (/ (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (sin (/ x (* y 2)))))
16.0ms	y	@	inf	((/ 1 (cos (* x (/ -1/2 y)))) (cos (* x (/ -1/2 y))) (* x (/ -1/2 y)) (/ -1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* x 1/8) (* y y) (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) (- 0 (pow (/ y x) -2)) (/ 1 (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2))) (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2)) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (* (* (neg (pow 1/4 1/4)) x) (/ (sqrt 1/2) y)) (/ (pow y -1/2) (/ -1 x)) (/ (pow (* (* 2 y) 2) -1/2) -1) (* (* 2 y) 2) (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x))) (/ (* x 1/8) (* y y)) (* (/ (* x 1/8) (* y y)) x) (pow (/ y x) -2) (sin (/ x (* y 2))) (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (/ (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (sin (/ x (* y 2)))))
15.0ms	x	@	-inf	((/ 1 (cos (* x (/ -1/2 y)))) (cos (* x (/ -1/2 y))) (* x (/ -1/2 y)) (/ -1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* x 1/8) (* y y) (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) (- 0 (pow (/ y x) -2)) (/ 1 (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2))) (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2)) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (* (* (neg (pow 1/4 1/4)) x) (/ (sqrt 1/2) y)) (/ (pow y -1/2) (/ -1 x)) (/ (pow (* (* 2 y) 2) -1/2) -1) (* (* 2 y) 2) (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x))) (/ (* x 1/8) (* y y)) (* (/ (* x 1/8) (* y y)) x) (pow (/ y x) -2) (sin (/ x (* y 2))) (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (/ (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (sin (/ x (* y 2)))))
12.0ms	x	@	0	((/ 1 (cos (* x (/ -1/2 y)))) (cos (* x (/ -1/2 y))) (* x (/ -1/2 y)) (/ -1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* x 1/8) (* y y) (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) (- 0 (pow (/ y x) -2)) (/ 1 (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2))) (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2)) (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (* (* (neg (pow 1/4 1/4)) x) (/ (sqrt 1/2) y)) (/ (pow y -1/2) (/ -1 x)) (/ (pow (* (* 2 y) 2) -1/2) -1) (* (* 2 y) 2) (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x))) (/ (* x 1/8) (* y y)) (* (/ (* x 1/8) (* y y)) x) (pow (/ y x) -2) (sin (/ x (* y 2))) (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (/ (tan (* (/ (pow (* (* 2 y) 2) -1/2) -1) (/ (pow y -1/2) (/ -1 x)))) (sin (/ x (* y 2)))))

simplify296.0ms (2.7%)

Memory

37.7MiB live, 308.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 508×	`lower-fma.f64`
10 508×	`lower-fma.f32`
7 196×	`lower-*.f64`
7 196×	`lower-*.f32`
4 632×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	11535
1	2461	10776
0	8085	10437

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
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(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(pow y 2)
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(/ 1 (cos (* -1/2 (/ x y))))
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(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
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(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* x (sqrt (/ 1 y))))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(sin (* 1/2 (/ x y)))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(* -1/2 (/ x y))
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(* -1/2 (/ x y))
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(/ -1/2 y)
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1
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(- (+ 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)))))))))
1
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(pow y 2)
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(pow y 2)
(pow y 2)
(/ x y)
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(* -1 (/ (pow x 2) (pow y 2)))
(* -1 (/ (pow x 2) (pow y 2)))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
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(* 2 (* (pow 1/4 1/4) (sqrt 1/2)))
(- (+ (* 2 (* (pow 1/4 1/4) (sqrt 1/2))) (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) (* x (pow y 2))))) (* -1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt 1/2)) (pow y 2)))))
(- (+ (* 2 (* (pow 1/4 1/4) (sqrt 1/2))) (+ (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) (* x (pow y 2)))) (* 2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))) (+ (* -1/4 (* (pow x 2) (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))))))) (* 1/96 (* (pow 1/4 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))))) (* x (pow y 4)))))) (+ (* -1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt 1/2)) (pow y 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (* (pow x 2) (sqrt 1/2)))))) (pow y 4))) (* 1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt 1/2)) (pow y 4)))))))
(- (+ (* 2 (* (pow 1/4 1/4) (sqrt 1/2))) (+ (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow 1/16384 1/4) (* (pow x 7) (pow (sqrt 1/2) 7)))) (+ (* -1/4 (* (pow x 2) (* (pow (sqrt 1/2) 2) (- (* 1/120 (* (pow 1/1024 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))) (+ (* -1/4 (* (pow x 2) (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))))))) (* 1/96 (* (pow 1/4 1/4) (* (pow x 5) (pow (sqrt 1/2) 5))))))))) (+ (* -1/5760 (* (pow 1/4 1/4) (* (pow x 7) (pow (sqrt 1/2) 7)))) (* 1/96 (* (pow x 4) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))) (+ (* -1/4 (* (pow x 2) (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))))))) (* 1/96 (* (pow 1/4 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))))) (* x (pow y 4))))))) (+ (* -1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt 1/2)) (pow y 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (* (pow x 2) (sqrt 1/2)))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))) (+ (* -1/4 (* (pow x 2) (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))))))) (* 1/96 (* (pow 1/4 1/4) (* (pow x 5) (pow (sqrt 1/2) 5)))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (* (pow x 2) (sqrt 1/2))))))) (* 1/960 (* (pow 1/4 1/4) (* (pow x 4) (sqrt 1/2))))))) (pow y 6))) (+ (* -1/161280 (* (pow 1/4 1/4) (/ (* (pow x 6) (sqrt 1/2)) (pow y 6)))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (* (pow x 2) (sqrt 1/2)))))) (pow y 6))) (* 1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt 1/2)) (pow y 4))))))))))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt 1/2) 3)) (pow y 2)))) (* (pow 1/4 1/4) (* x (sqrt 1/2)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt 1/2) 3)) (pow y 2))))) y)
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt 1/2) 3)) (pow y 2)))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt 1/2) 5)) (pow y 4)))) (* (pow 1/4 1/4) (* x (sqrt 1/2))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt 1/2) 3)) (pow y 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* -1/4 (* (pow 1/4 1/4) (* (pow x 3) (pow (sqrt 1/2) 3))))))) (pow y 4))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt 1/2) 5)) (pow y 4))))))) y)
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1
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1
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1
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1
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(pow y 2)
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1
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1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
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(* -2 (* (pow 1/4 1/4) (sqrt 1/2)))
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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))
(* -1 (/ (* x (* (sqrt -1) (sqrt -1/4))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))) (pow y 2))) (* x (* (sqrt -1) (sqrt -1/4)))) (* -1/2 (/ (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5))) (pow y 4))) (* x (* (sqrt -1) (sqrt -1/4))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))) (pow y 2))) (* 1/24 (/ (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5))) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (* (pow (sqrt -1) 7) (pow (sqrt -1/4) 7))) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5))) (pow y 4))) (* x (* (sqrt -1) (sqrt -1/4)))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* 1/120 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))))))) (* 1/24 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5))))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (* (pow (sqrt -1) 7) (pow (sqrt -1/4) 7))) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1) 4) (* (pow (sqrt -1/4) 4) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5))) (pow y 4))))))))) y))
(* -2 (* (sqrt -1) (sqrt -1/4)))
(- (+ (* -2 (* (sqrt -1) (sqrt -1/4))) (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) (* x (pow y 2))))) (* 1/12 (/ (* (pow x 2) (* (sqrt -1) (sqrt -1/4))) (pow y 2))))
(- (+ (* -2 (* (sqrt -1) (sqrt -1/4))) (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) (* x (pow y 2)))) (* -2 (/ (- (* 1/120 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))))))) (* 1/24 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) x)) (* 1/12 (* (pow x 2) (* (sqrt -1) (sqrt -1/4)))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (* (sqrt -1) (sqrt -1/4))) (pow y 4))) (* 1/12 (/ (* (pow x 2) (* (sqrt -1) (sqrt -1/4))) (pow y 2))))))
(- (+ (* -2 (* (sqrt -1) (sqrt -1/4))) (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (* (pow (sqrt -1) 7) (pow (sqrt -1/4) 7)))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* 1/120 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))))))) (* 1/24 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))))))))) (+ (* -1/720 (* (pow x 7) (* (pow (sqrt -1) 7) (pow (sqrt -1/4) 7)))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1) 4) (* (pow (sqrt -1/4) 4) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))))))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/120 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))))))) (* 1/24 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) x)) (* 1/12 (* (pow x 2) (* (sqrt -1) (sqrt -1/4)))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1) 2) (* (pow (sqrt -1/4) 2) (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))))))) (* 1/24 (* (pow x 5) (* (pow (sqrt -1) 5) (pow (sqrt -1/4) 5)))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) x)) (* 1/12 (* (pow x 2) (* (sqrt -1) (sqrt -1/4))))))) (* -1/960 (* (pow x 4) (* (sqrt -1) (sqrt -1/4))))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (* (sqrt -1) (sqrt -1/4))) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (* (sqrt -1) (sqrt -1/4))) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3)))) (* -1/2 (* (pow x 3) (* (pow (sqrt -1) 3) (pow (sqrt -1/4) 3))))) x)) (* 1/12 (* (pow x 2) (* (sqrt -1) (sqrt -1/4)))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (* (sqrt -1) (sqrt -1/4))) (pow y 2)))))))))
1
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1
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1
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1
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1
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1
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(* 2 (* (pow 1/4 1/4) (sqrt 1/2)))
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(+ (* 2 (* (pow 1/4 1/4) (sqrt 1/2))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))) (* -1/12 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 2))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 4)))))))) (* -1/12 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 2)))))))
(+ (* 2 (* (pow 1/4 1/4) (sqrt 1/2))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (* (pow 1/16384 1/4) (/ (pow (sqrt 1/2) 7) (pow y 7)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5))))))) (pow y 2))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 7) (pow y 7)))) (* 1/96 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))) (* -1/12 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 2))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 4)))))) (pow y 2))) (+ (* -1/161280 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 6)))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))) (* -1/12 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 2))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))) (* -1/12 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 2))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 4)))))))) (* -1/12 (* (pow 1/4 1/4) (/ (sqrt 1/2) (pow y 2)))))))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* x (+ (* (pow 1/4 1/4) (/ (sqrt 1/2) y)) (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))))
(* x (+ (* (pow 1/4 1/4) (/ (sqrt 1/2) y)) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))))))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))))
(* x (+ (* (pow 1/4 1/4) (/ (sqrt 1/2) y)) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* (pow x 2) (- (+ (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (* (pow x 2) (- (* -1/5040 (* (pow 1/16384 1/4) (/ (pow (sqrt 1/2) 7) (pow y 7)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5))))))) (pow y 2))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 7) (pow y 7)))) (* 1/96 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 4)))))))) (+ (* -1/4 (/ (* (pow (sqrt 1/2) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3)))))) (pow y 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 5) (pow y 5)))))))) (* -1/4 (* (pow 1/4 1/4) (/ (pow (sqrt 1/2) 3) (pow y 3))))))))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
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(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
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(* -1 (* x (sqrt (/ 1 y))))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(* 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))))
1
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(+ 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))))))
(/ 1 (cos (* -1/2 (/ x y))))
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(cos (* -1/2 (/ x y)))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* x (sqrt (/ 1 y))))
(* -1 (* x (sqrt (/ 1 y))))
(* -1 (* x (sqrt (/ 1 y))))
(* -1 (* x (sqrt (/ 1 y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ (pow x 2) (pow y 2)))
(* -1 (/ (pow x 2) (pow y 2)))
(* -1 (/ (pow x 2) (pow y 2)))
(* -1 (/ (pow x 2) (pow y 2)))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(/ 1 (cos (* -1/2 (/ x y))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (* (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(/ (sin (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))) (cos (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) y)))
(* -1 (* x (sqrt (/ 1 y))))
(* -1 (* x (sqrt (/ 1 y))))
(* -1 (* x (sqrt (/ 1 y))))
(* -1 (* x (sqrt (/ 1 y))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ x (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))

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

rewrite210.0ms (1.9%)

Memory

-24.2MiB live, 212.1MiB allocated

Rules

5 246×	`lower-/.f32`
5 220×	`lower-/.f64`
3 252×	`lower-*.f32`
3 230×	`lower-*.f64`
2 222×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	350
0	111	330
1	367	298
2	2171	240
0	8657	238

Stop Event

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

Counts

26 → 892

Calls

Call 1

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

Outputs
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eval268.0ms (2.4%)

Memory: 33.9MiB live, 380.6MiB allocated
Compiler: Compiled 31 941 to 4 546 computations (85.8% saved)

prune201.0ms (1.8%)

Memory

-16.9MiB live, 384.3MiB allocated

Pruning

95 alts after pruning (89 fresh and 6 done)

	Pruned	Kept	Total
New	1 444	39	1 483
Fresh	14	50	64
Picked	3	2	5
Done	0	4	4
Total	1 461	95	1 556

Accuracy

61.8%

Counts

1 556 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	52.8%	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))
	41.8%	(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))
	41.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
	41.0%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	42.4%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	28.5%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.4%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	24.3%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
✓	42.1%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	28.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) y)) (.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))))
	23.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) y) y))))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	41.3%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	41.2%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))
	41.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	24.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y))))
	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	38.3%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.5%	(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.8%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	41.1%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))))
	41.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))))
	41.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (/.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	37.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) y))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.0%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow y -1/2) (/ -1 x)) (.f64 (.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.3%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	25.2%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) y))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	25.3%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) y)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.0%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (pow ( y (* 2 y)) -1/2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.1%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	33.1%	(/.f64 (tan.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.2%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	41.4%	(/.f64 (tan.f64 (.f64 (.f64 (neg.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.3%	(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.2%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( 2 y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.4%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	38.1%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.9%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 y (sqrt.f64 #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.2%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.0%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.2%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.2%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.9%	(/.f64 (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
	42.1%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))))
	4.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 #s(approx ( (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) x))))
	53.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	39.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 y x)))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
	33.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 (neg.f64 y) #s(literal -2 binary64)))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
	24.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
	40.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
	22.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 (neg.f64 y) x)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
	54.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))))
	33.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(approx (- 0 (pow (/ y x) -2)) (/.f64 (.f64 (neg.f64 x) x) (*.f64 y y))) (neg.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
✓	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	39.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x)) #s(literal -1/2 binary64))))
	51.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x) y) #s(literal -1/2 binary64))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
	50.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))))))
	53.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))))))
	50.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))))
✓	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
	53.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))))
	53.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (.f64 (.f64 (neg.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))))))
	50.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (pow.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (.f64 (.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	47.5%	(/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ (- 0 (pow (/ y x) -2)) (neg (/ x y))) -1/2)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
	4.1%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (tan.f64 #s(approx (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x))) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
	41.2%	(.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	44.4%	#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64)))
	49.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
	2.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (.f64 x x) y) (.f64 y #s(literal 8 binary64)))))
✓	3.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (.f64 (/.f64 (.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) x)))
✓	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	41.1%	#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (cos.f64 (.f64 (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)))))
	53.4%	#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
	6.7%	#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))

Compiler

Compiled 4 753 to 2 096 computations (55.9% saved)

regimes480.0ms (4.3%)

Memory

0.6MiB live, 585.7MiB allocated

Counts

153 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))))

#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))

Calls

5 calls:

151.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
111.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
97.0ms	x
58.0ms	y
54.0ms	(*.f64 y #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
54.3%	1	`x`
54.3%	1	`y`
56.1%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.2%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
54.3%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes42.0ms (0.4%)

Memory

-33.7MiB live, 42.8MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))

Calls

2 calls:

8.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
8.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
55.8%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.0%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

#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))))

#s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
56.0%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes45.0ms (0.4%)

Memory

-2.1MiB live, 36.1MiB allocated

Accuracy

Total -33.9b remaining (-115.5%)

Threshold costs -33.9b (-115.5%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	x
5.0ms	y
5.0ms	(*.f64 y #s(literal 2 binary64))
5.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
4.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
54.1%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
54.1%	1	`x`
54.1%	1	`y`
54.1%	1	`(*.f64 y #s(literal 2 binary64))`
54.1%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.599056050796741e+152	1.9861468020346126e+174

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.599056050796741e+152	1.9861468020346126e+174

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.599056050796741e+152	1.9861468020346126e+174

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify42.0ms (0.4%)

Memory

7.9MiB live, 48.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`
14×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	184
1	68	184
2	78	184
3	94	184
4	105	184
5	112	184
6	115	184

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))) #s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 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)))) #s(approx (/ (tan ( (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))) #s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))) #s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(approx (/ (tan (* (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 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)))) #s(approx (/ (tan ( (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 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)))) #s(approx (/ (tan ( (/ (pow 4 -1/4) -1) (/ (pow (* y (* 2 y)) -1/2) (/ -1 x)))) (sin (/ x (* y 2)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

soundness1.5s (13.3%)

Memory

11.4MiB live, 837.7MiB allocated

Rules

14 468×	`lower-fma.f64`
14 468×	`lower-fma.f32`
10 660×	`lower-fma.f64`
10 660×	`lower-fma.f32`
6 690×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	767	11360
1	2352	10706
0	8262	10304
0	316	2054
1	950	2028
2	3392	1926
0	9111	1817
0	72	350
0	111	330
1	367	298
2	2171	240
0	8657	238
0	65	300
0	103	299
1	340	279
2	2095	273
0	9342	271
0	43	204
0	72	182
1	228	164
2	1237	137
0	8943	135
0	8	33
0	13	33
1	33	33
2	142	28
3	788	28
0	8171	28

Stop Event

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

Compiler

Compiled 314 to 185 computations (41.1% saved)

preprocess118.0ms (1.1%)

Memory: 0.6MiB live, 167.2MiB allocated
Compiler: Compiled 376 to 232 computations (38.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13

start0.0ms (0%)

analyze209.0ms (1.9%)

sample2.3s (20.6%)

explain142.0ms (1.3%)

preprocess26.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize47.0ms (0.4%)

series23.0ms (0.2%)

simplify257.0ms (2.3%)

rewrite120.0ms (1.1%)

eval194.0ms (1.8%)

prune189.0ms (1.7%)

simplify76.0ms (0.7%)

localize323.0ms (2.9%)

series272.0ms (2.5%)

simplify255.0ms (2.3%)

rewrite315.0ms (2.8%)

eval299.0ms (2.7%)

prune322.0ms (2.9%)

simplify423.0ms (3.8%)

localize478.0ms (4.3%)

series168.0ms (1.5%)

simplify217.0ms (2%)

rewrite218.0ms (2%)

eval206.0ms (1.9%)

prune161.0ms (1.5%)

simplify124.0ms (1.1%)

localize376.0ms (3.4%)

series156.0ms (1.4%)

simplify296.0ms (2.7%)

rewrite210.0ms (1.9%)

eval268.0ms (2.4%)

prune201.0ms (1.8%)

regimes480.0ms (4.3%)

regimes42.0ms (0.4%)

regimes6.0ms (0.1%)

regimes45.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.4%)

soundness1.5s (13.3%)

preprocess118.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13