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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze589.0ms (5.4%)

Memory

-7.5MiB live, 195.1MiB 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)

sample1.9s (17.7%)

Memory

33.8MiB live, 1 953.2MiB allocated

Samples

1.0s	3 968×	1	valid
457.0ms	4 288×	0	valid

Precisions

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

ival-tan: 346.0ms (36.8% of total)

ival-sin: 217.0ms (23.1% of total)

ival-div: 187.0ms (19.9% of total)

ival-mult: 123.0ms (13.1% of total)

adjust: 52.0ms (5.5% of total)

ival-true: 7.0ms (0.7% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain158.0ms (1.4%)

Memory

5.3MiB live, 172.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
137	-	1	(-8.162534268155731e-122 -5.1804241556993905e-123)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
136	-	0	-	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
31	-	0	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	102	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	102	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	34	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	34
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	34	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	34
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	31	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	31
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	31
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	31
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	31

Confusion

	Predicted +	Predicted -
+	167	1
-	0	88

Precision

1.0

Recall

0.9940476190476191

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	1	0
-	0	0	88

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	89
1	31
2	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms	270×	1	valid
16.0ms	242×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sin: 30.0ms (49.4% of total)

ival-tan: 12.0ms (19.8% of total)

ival-div: 10.0ms (16.5% of total)

adjust: 4.0ms (6.6% of total)

ival-mult: 4.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess25.0ms (0.2%)

Memory

-17.9MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Memory

4.2MiB live, 4.2MiB 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)))))

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)))

localize49.0ms (0.5%)

Memory

-11.1MiB live, 65.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	7.664147782575585	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	30.738384153919014	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

27.0ms	135×	1	valid
9.0ms	121×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 9.0ms (35% of total)

ival-tan: 7.0ms (27.2% of total)

ival-sin: 6.0ms (23.3% of total)

adjust: 2.0ms (7.8% of total)

ival-mult: 2.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB 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))))
2.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))

simplify364.0ms (3.3%)

Memory

8.5MiB live, 198.5MiB allocated

Algorithm

1×	egg-herbie

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

rewrite140.0ms (1.3%)

Memory

-25.4MiB live, 128.7MiB allocated

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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eval204.0ms (1.9%)

Memory: 13.8MiB live, 182.8MiB allocated
Compiler: Compiled 13 929 to 1 822 computations (86.9% saved)

prune124.0ms (1.1%)

Memory

16.8MiB live, 174.6MiB allocated

Pruning

55 alts after pruning (54 fresh and 1 done)

	Pruned	Kept	Total
New	625	54	679
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	625	55	680

Accuracy

57.6%

Counts

680 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(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))
	39.7%	(/.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
	26.5%	(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	20.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	20.5%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) (/.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 y #s(literal 2 binary64)))))
	51.8%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64))))
	39.6%	(/.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	26.5%	(/.f64 (.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(/.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)))
	38.9%	(/.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)))))
	35.6%	(/.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)))))
▶	38.9%	(/.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)))))
	23.0%	(/.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)))))
	15.6%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	20.1%	(/.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)))))
	39.1%	(/.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)))))
	18.0%	(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.3%	(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.4%	(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.7%	(/.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))))
▶	23.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
	36.5%	(/.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))))
	39.4%	(/.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))))
	27.0%	(/.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))))))
	17.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y))))))))
	23.2%	(/.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))))
	20.3%	(/.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)))
	20.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
▶	38.8%	(/.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))))))
✓	39.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.1%	(/.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)))))))
	39.4%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	36.5%	(/.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)))))
	30.0%	(/.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)))
	35.4%	(/.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)))
	35.3%	(/.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)))))
	39.3%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.7%	(/.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)))))
	39.1%	(/.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)) (pow.f64 x #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.1%	(/.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 x (*.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	35.5%	(/.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)))))
	20.5%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))
	35.1%	(/.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)))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	39.6%	(.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
	26.5%	(.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 2 binary64)))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
	39.6%	(.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))))
	48.8%	(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
▶	45.6%	#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)))
	51.2%	#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))))
▶	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 133 to 1 532 computations (28.2% saved)

simplify120.0ms (1.1%)

Memory

-10.2MiB live, 105.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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 (/.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))))))
cost-diff	14656	(/.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)))
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 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
cost-diff	320	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x))
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 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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	306
0	66	280
1	93	272
2	154	252
3	283	252
4	460	252
5	731	252
6	1950	252
7	4386	252
0	8119	252

Stop Event

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

Calls

Call 1

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

localize299.0ms (2.7%)

Memory

13.8MiB live, 244.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.32421875	(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
accuracy	7.664147782575585	(/.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))))))
accuracy	30.738384153919014	(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)))))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	7.664147782575585	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
accuracy	19.03421335200509	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))
accuracy	30.738384153919014	(sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0.309257519536884	(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
accuracy	7.664147782575585	(/.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	30.738384153919014	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	31.45582789442017	(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	1.884206810070088	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
accuracy	6.782207384603753	(/.f64 (*.f64 x x) y)
accuracy	33.573037434933696	#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	30.57925917982243	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

212.0ms	135×	1	valid
39.0ms	121×	0	valid

Compiler

Compiled 296 to 36 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-div: 63.0ms (31.2% of total)

ival-mult: 52.0ms (25.7% of total)

ival-pow: 47.0ms (23.3% of total)

ival-sin: 19.0ms (9.4% of total)

ival-tan: 12.0ms (5.9% of total)

adjust: 6.0ms (3% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series119.0ms (1.1%)

Memory

-57.4MiB live, 82.2MiB allocated

Counts

21 → 444

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 (/.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 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 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 (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (/.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)))))) (patch (/.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)))))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<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 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) (patch (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 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 (/.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>) () ())) ())
#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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Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	x	@	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 (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (* x x) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)))) (/ 1 (pow (* 2 y) -1/2)))
19.0ms	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 (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (* x x) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)))) (/ 1 (pow (* 2 y) -1/2)))
10.0ms	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 (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (* x x) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)))) (/ 1 (pow (* 2 y) -1/2)))
6.0ms	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 (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (* x x) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)))) (/ 1 (pow (* 2 y) -1/2)))
4.0ms	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 (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (* x x) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)))) (/ 1 (pow (* 2 y) -1/2)))

simplify502.0ms (4.6%)

Memory

-10.3MiB live, 219.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	9168
1	2086	8500
0	8160	8071

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 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))))
(/ (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))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 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 (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(* (sqrt y) (/ 1 (sqrt 1/2)))
(* (sqrt y) (/ 1 (sqrt 1/2)))
(* (sqrt y) (/ 1 (sqrt 1/2)))
(* (sqrt y) (/ 1 (sqrt 1/2)))
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
(- (+ 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
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 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
(- (+ 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 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
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))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ 1/2 (pow (sqrt 1/2) 2))
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(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) y))
(* -1 (* (sqrt y) (/ (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt y) (/ (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt y) (/ (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt y) (/ (sqrt -1) (sqrt -1/2))))
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
(+ 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
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (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
(+ 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))))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
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 (pow (sqrt 1/2) 2))
(+ (* (pow x 2) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2))))
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2))))
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 17/40320 (/ 1 (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4)))))) (pow y 2))) (+ (* -1/10080 (/ (pow (sqrt 1/2) 10) (pow y 6))) (* 1/120 (/ (* (pow (sqrt 1/2) 8) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 4)))))))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2))))
(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))))
(* 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))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* -1/6 (/ (* (pow x 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))) (* 1/120 (/ (* (pow x 2) (pow (sqrt 1/2) 10)) (pow y 5))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (sqrt 1/2) 14)) (pow y 7))) (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (/ (pow (sqrt 1/2) 2) 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))))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 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))))
(/ (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))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* 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 (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) 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))))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(* 4 (/ (pow y 2) (pow x 2)))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 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))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* 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 (* -1/2 (/ x y)))
(sin (* -1/2 (/ x y)))
(sin (* -1/2 (/ x y)))
(sin (* -1/2 (/ x y)))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin (/ (* x (pow (sqrt 1/2) 2)) 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 x (/.f64 x y))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ (pow x 2) y)
(*.f64 x (/.f64 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 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)
(* 4 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 y y) x))
(* 4 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 y y) x))
(* 4 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 y y) x))
(* 4 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 y 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)
(/ y (pow (sqrt 1/2) 2))
(/.f64 y #s(literal 1/2 binary64))
(/ y (pow (sqrt 1/2) 2))
(/.f64 y #s(literal 1/2 binary64))
(/ y (pow (sqrt 1/2) 2))
(/.f64 y #s(literal 1/2 binary64))
(/ y (pow (sqrt 1/2) 2))
(/.f64 y #s(literal 1/2 binary64))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y))))
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(sin (/ (* x (pow (sqrt 1/2) 2)) y))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

rewrite142.0ms (1.3%)

Memory

-0.1MiB live, 158.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	228
0	66	186
1	225	162
2	1293	134
0	8960	134

Stop Event

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

Counts

21 → 900

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

Outputs
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eval328.0ms (3%)

Memory: 18.0MiB live, 405.3MiB allocated
Compiler: Compiled 37 756 to 3 588 computations (90.5% saved)

prune191.0ms (1.7%)

Memory

-3.9MiB live, 354.6MiB allocated

Pruning

72 alts after pruning (70 fresh and 2 done)

	Pruned	Kept	Total
New	1 620	48	1 668
Fresh	27	22	49
Picked	3	2	5
Done	1	0	1
Total	1 651	72	1 723

Accuracy

59.7%

Counts

1 723 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(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))
	26.5%	(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	20.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.9%	(/.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 x (*.f64 y #s(literal 2 binary64)))))
	39.6%	(/.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.5%	(/.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 (/.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))))))
	35.6%	(/.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)))))
	21.8%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
	22.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #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))))))
	22.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.0%	(/.f64 (tan.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.5%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))))
	39.6%	(/.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))))
✓	38.9%	(/.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)))))
	38.7%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	38.4%	(/.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) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
	38.3%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) x))))
	36.5%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	23.0%	(/.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)))))
	39.7%	(/.f64 (tan.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.5%	(/.f64 (tan.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.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)))))
	15.6%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64))))
	11.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64))))
	36.5%	(/.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))))
	22.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))))
▶	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
	39.4%	(/.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))))
	20.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -4 binary64)))))
	37.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(approx (/ 1 (pow ( 2 y) -1/2)) (/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	39.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))
	38.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))))
	35.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
	24.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
▶	36.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	39.4%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	38.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x))))
	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	36.5%	(/.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)))))
	4.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow ( (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	35.3%	(/.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)))))
	24.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
	38.7%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (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))))))
	39.3%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.1%	(/.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)) (pow.f64 x #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 (tan.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))) (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))))))
	38.8%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	39.0%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) (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))))))
▶	38.6%	(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	36.0%	(/.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 (/.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))))))
	35.5%	(/.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)))))
	20.5%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))
▶	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	26.5%	(.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 2 binary64)))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
	39.6%	(.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))))
	39.6%	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	39.0%	(.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))))
	51.2%	#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	5.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
▶	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
	42.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)))
	27.6%	#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)))
✓	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 803 to 2 015 computations (28.1% saved)

simplify15.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
cost-diff	0	(tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))))
cost-diff	0	(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	7104	(.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
cost-diff	0	(*.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 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
cost-diff	0	(*.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 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
cost-diff	1920	(/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
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))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	299
0	70	303
1	95	253
2	145	253
3	250	253
4	401	253
5	585	253
6	630	253
0	630	253

Stop Event

1×	iter limit
1×	saturated
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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
(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 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))
(/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
(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 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(log.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
(.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)))
x
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal -3/4 binary64)
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))

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

localize417.0ms (3.8%)

Memory

-17.7MiB live, 473.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.266288769536884	(.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
accuracy	7.664147782575585	(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	30.738384153919014	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	31.45582789442017	(tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))))
accuracy	5.699492909423412	(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
accuracy	7.664147782575585	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
accuracy	30.738384153919014	(sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0.26791000976844204	(/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))
accuracy	7.664147782575585	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
accuracy	30.738384153919014	(sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	59.417854164049615	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
accuracy	30.733266792614906	(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))

Samples

227.0ms	135×	1	valid
99.0ms	121×	0	valid

Compiler

Compiled 299 to 41 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-cos: 69.0ms (28.9% of total)

ival-pow: 53.0ms (22.2% of total)

ival-sin: 27.0ms (11.3% of total)

ival-div: 26.0ms (10.9% of total)

ival-tan: 18.0ms (7.5% of total)

ival-mult: 16.0ms (6.7% of total)

ival-exp: 9.0ms (3.8% of total)

adjust: 8.0ms (3.4% of total)

ival-log: 8.0ms (3.4% of total)

ival-sqrt: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series399.0ms (3.7%)

Memory

25.6MiB live, 566.8MiB allocated

Counts

18 → 408

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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (patch (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))) #<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 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))) (patch (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y)))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (patch (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (patch (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (patch (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (patch (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (patch (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) #<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 #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 (/ 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>) () ())) ())
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#s(alt (/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (patch (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x)) (taylor -inf x) (#s(alt (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (patch (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x)) (taylor -inf x) (#s(alt (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (patch (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x)) (taylor -inf x) (#s(alt (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (patch (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x)) (taylor -inf x) (#s(alt (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (patch (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x (* y (pow (sqrt 2) 2)))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (patch (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x (* y (pow (sqrt 2) 2)))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (patch (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x (* y (pow (sqrt 2) 2)))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (patch (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (sin (/ x (* y (pow (sqrt 2) 2)))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (patch (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (patch (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (patch (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (patch (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (patch (sin.f64 (/.f64 x (exp.f64 (log.f64 (.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 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
104.0ms	y	@	0	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))))) (tan (/ x (* y 2))) (* y 2) (exp (log (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ x (exp (log (* 2 y)))))) (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8)) (/ (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (sin (/ x (* y 2)))) (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y)))) (sin (/ x (exp (log (* 2 y))))) (sin (/ x (* y 2))))
71.0ms	x	@	-inf	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))))) (tan (/ x (* y 2))) (* y 2) (exp (log (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ x (exp (log (* 2 y)))))) (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8)) (/ (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (sin (/ x (* y 2)))) (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y)))) (sin (/ x (exp (log (* 2 y))))) (sin (/ x (* y 2))))
59.0ms	y	@	-inf	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))))) (tan (/ x (* y 2))) (* y 2) (exp (log (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ x (exp (log (* 2 y)))))) (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8)) (/ (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (sin (/ x (* y 2)))) (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y)))) (sin (/ x (exp (log (* 2 y))))) (sin (/ x (* y 2))))
58.0ms	x	@	0	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))))) (tan (/ x (* y 2))) (* y 2) (exp (log (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ x (exp (log (* 2 y)))))) (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8)) (/ (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (sin (/ x (* y 2)))) (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y)))) (sin (/ x (exp (log (* 2 y))))) (sin (/ x (* y 2))))
46.0ms	y	@	inf	((/ 1 (cos (* (/ x y) -1/2))) (cos (* (/ x y) -1/2)) (* (/ x y) -1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y))))) (tan (/ x (* y 2))) (* y 2) (exp (log (* 2 y))) (/ (tan (/ x (* y 2))) (sin (/ x (exp (log (* 2 y)))))) (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8)) (/ (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (sin (/ x (* y 2)))) (tan (* (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (pow (* 2 y) -1/8))) (* (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (sin (/ (/ x (sqrt (* 2 y))) (sqrt (* 2 y)))) (sin (/ x (exp (log (* 2 y))))) (sin (/ x (* y 2))))

simplify236.0ms (2.2%)

Memory

1.0MiB live, 313.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	942	10447
1	2878	9513
0	8511	9111

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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))))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (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))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 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))))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 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)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
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
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 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))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ 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)))))))))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(* 1/2 (pow (sqrt 2) 2))
(- (+ (* 1/2 (pow (sqrt 2) 2)) (/ (* (pow (sqrt 2) 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* x (pow y 2)))) (* -1/12 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 2)))))
(- (+ (* 1/2 (pow (sqrt 2) 2)) (+ (/ (* (pow (sqrt 2) 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* x (pow y 2))) (/ (* (pow (sqrt 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))))) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt 2) 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) x) (* -1/12 (/ (pow x 2) (pow (sqrt 2) 2))))) (* (pow y 4) (pow (sqrt 2) 4)))) (+ (* -1/12 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/240 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 6)))))))
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(/ x (* y (pow (sqrt 2) 2)))
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
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(/ (+ (* -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)
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(/ (+ (* -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
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1
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1
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1
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(/ x y)
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1
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(* (pow 1/16 1/4) (/ x y))
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(* 2 (pow 1/16 1/4))
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(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(/ x (* y (pow (sqrt 2) 2)))
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(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (* (pow y 5) (pow (sqrt 2) 10)))) (* 1/6 (/ 1 (* (pow y 3) (pow (sqrt 2) 6)))))) (/ 1 (* y (pow (sqrt 2) 2)))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (* (pow y 7) (pow (sqrt 2) 14)))) (* 1/120 (/ 1 (* (pow y 5) (pow (sqrt 2) 10)))))) (* 1/6 (/ 1 (* (pow y 3) (pow (sqrt 2) 6)))))) (/ 1 (* y (pow (sqrt 2) 2)))))
(* 1/2 (/ x y))
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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))))
(* 1/2 (/ x y))
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(cos (* -1/2 (/ x y)))
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(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(* -1/2 (/ x y))
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(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (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))))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 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)))
(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))))
(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)
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ x (* y (pow (sqrt 2) 2)))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/ (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))))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin (/ x (* y (pow (sqrt 2) 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)))
(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 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 #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))))
(/ x (* y (pow (sqrt 2) 2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ x (* y (pow (sqrt 2) 2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ x (* y (pow (sqrt 2) 2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ x (* y (pow (sqrt 2) 2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 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))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 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))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 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))) (sin (/ x (* y (pow (sqrt 2) 2))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 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))))
(/ (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))))
(* 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)
(* 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)
(/ 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))))
(* (pow 1/16 1/4) (/ x y))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))
(* (pow 1/16 1/4) (/ x y))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))
(* (pow 1/16 1/4) (/ x y))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))
(* (pow 1/16 1/4) (/ x y))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (.f64 (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (.f64 (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (.f64 (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (.f64 (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))
(* (pow 1/8 1/4) (* x (exp (* 1/8 (+ (log 1/2) (* -7 (log y)))))))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(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)))
(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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x 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 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64))) (.f64 x x))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (.f64 x x) 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 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/384 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 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
#s(literal 1 binary64)
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(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (.f64 (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/.f64 (sin.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (/.f64 x y))))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)))
(* (pow 1/8 1/4) (* (pow (/ 1/2 (pow y 7)) 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (/ x (* y (pow (sqrt 2) 2))))
(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)))
(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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))

rewrite167.0ms (1.5%)

Memory

-0.1MiB live, 160.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	209
0	70	154
1	208	114
2	903	109
3	6600	109
0	8335	109

Stop Event

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

Counts

18 → 898

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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
(/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))))
(.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))
(sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))
(sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
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eval191.0ms (1.7%)

Memory: 10.5MiB live, 311.6MiB allocated
Compiler: Compiled 33 046 to 3 296 computations (90% saved)

prune170.0ms (1.6%)

Memory

-35.4MiB live, 265.1MiB allocated

Pruning

87 alts after pruning (82 fresh and 5 done)

	Pruned	Kept	Total
New	1 407	49	1 456
Fresh	32	33	65
Picked	2	3	5
Done	0	2	2
Total	1 441	87	1 528

Accuracy

60.0%

Counts

1 528 → 87

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	50.8%	(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64))
	26.5%	(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	20.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.9%	(/.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 x (*.f64 y #s(literal 2 binary64)))))
	36.4%	(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
	36.1%	(/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
	39.6%	(/.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #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))))))
	22.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	38.9%	(/.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)))))
	36.5%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	23.0%	(/.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)))))
	39.7%	(/.f64 (tan.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))
	36.2%	(/.f64 (tan.f64 (/.f64 x (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
	39.1%	(/.f64 (tan.f64 (/.f64 x (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64))))
▶	36.5%	(/.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))))
	22.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))))
	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))
	20.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
	37.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 y)))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
	35.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
	36.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 #s(literal 4 binary64))) #s(literal 1/2 binary64))))))
✓	36.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	39.4%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	39.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -7/8 binary64)) x))))
	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
▶	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	36.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
	4.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow ( (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	35.3%	(/.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)))))
	35.9%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
	39.1%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	38.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 x (.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	24.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
	38.7%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (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))))))
	39.3%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 (tan.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) x) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -7/8 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.3%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.2%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 y)))))
	35.5%	(/.f64 (tan.f64 (.f64 #s(approx ( (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.0%	(/.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 (/.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))))))
	35.5%	(/.f64 (tan.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)))))
	20.5%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))
	36.4%	(/.f64 (neg.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))))
	51.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64)))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 y))))
▶	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))
	51.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	51.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))))
	51.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 y))))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))
✓	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))
	51.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))))))
	52.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 x (sqrt.f64 y)))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
	51.2%	(/.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))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))
	46.3%	(/.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))))
▶	39.6%	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	39.0%	(.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))))
	5.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
✓	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
▶	42.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)))
	27.6%	#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)))
✓	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 130 to 2 309 computations (26.2% saved)

simplify129.0ms (1.2%)

Memory

21.2MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
cost-diff	6464	(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))
cost-diff	12800	(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff	15872	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
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 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64)))
cost-diff	0	(cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))
cost-diff	128	(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))
cost-diff	1984	(/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	316
0	80	303
1	122	290
2	222	266
3	463	266
4	951	266
5	2297	266
6	3039	266
7	3528	266
8	3703	266
9	3833	266
10	4002	266
11	4512	266
12	5688	266
0	8403	266

Stop Event

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

Calls

Call 1

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

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

localize293.0ms (2.7%)

Memory

23.6MiB live, 295.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.664147782575585	(/.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))))
accuracy	14.710002116534026	(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))
accuracy	30.738384153919014	(sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0.24609375	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	7.734460282575585	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
accuracy	30.733266792614906	(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
accuracy	30.738384153919014	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.24609375	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	7.664147782575585	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	30.738384153919014	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	31.45582789442017	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0.021816259768442016	(.f64 (.f64 y y) #s(literal 8 binary64))
accuracy	0.428106056041977	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64)))
accuracy	10.901358847802795	(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
accuracy	33.573037434933696	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))
accuracy	0.2265625	(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))
accuracy	0.23828125	(/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))
accuracy	30.733266792614906	(cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))

Samples

166.0ms	135×	1	valid
73.0ms	121×	0	valid

Compiler

Compiled 306 to 45 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-cos: 55.0ms (26.5% of total)

ival-div: 32.0ms (15.4% of total)

ival-neg: 30.0ms (14.4% of total)

ival-mult: 27.0ms (13% of total)

ival-sin: 19.0ms (9.1% of total)

adjust: 9.0ms (4.3% of total)

ival-exp: 9.0ms (4.3% of total)

ival-log: 9.0ms (4.3% of total)

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

ival-pow: 4.0ms (1.9% of total)

ival-sqrt: 4.0ms (1.9% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series158.0ms (1.4%)

Memory

-1.0MiB live, 201.6MiB allocated

Counts

23 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)) (patch (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (patch (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))) (patch (cos.f64 (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x 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) x))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) 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 (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (patch (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) (patch (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)) (patch (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 8 binary64)) (patch (.f64 (.f64 y y) #s(literal 8 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 (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (patch (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	((/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)) (/ (neg x) (* (sqrt y) 2)) (/ 1 (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)))) (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (/ 1 (* (* y y) 8)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1 (* (* y y) 8))) 1) (* x x) (/ (tan (/ x (* y 2))) (sin (* (/ 1/2 y) x))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (* (sin (* (/ 1/2 y) x)) (/ 1 (* (sin (* (/ 1/2 y) x)) (cos (* (/ x y) -1/2))))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (exp (log (/ (* 2 y) x))) (pow (exp (log (/ (* 2 y) x))) -1) (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (* (* y y) 8) (cos (* (/ x y) -1/2)) (sin (pow (exp (log (/ (* 2 y) x))) -1)) (log (/ (* 2 y) x)))
30.0ms	x	@	0	((/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)) (/ (neg x) (* (sqrt y) 2)) (/ 1 (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)))) (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (/ 1 (* (* y y) 8)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1 (* (* y y) 8))) 1) (* x x) (/ (tan (/ x (* y 2))) (sin (* (/ 1/2 y) x))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (* (sin (* (/ 1/2 y) x)) (/ 1 (* (sin (* (/ 1/2 y) x)) (cos (* (/ x y) -1/2))))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (exp (log (/ (* 2 y) x))) (pow (exp (log (/ (* 2 y) x))) -1) (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (* (* y y) 8) (cos (* (/ x y) -1/2)) (sin (pow (exp (log (/ (* 2 y) x))) -1)) (log (/ (* 2 y) x)))
24.0ms	y	@	-inf	((/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)) (/ (neg x) (* (sqrt y) 2)) (/ 1 (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)))) (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (/ 1 (* (* y y) 8)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1 (* (* y y) 8))) 1) (* x x) (/ (tan (/ x (* y 2))) (sin (* (/ 1/2 y) x))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (* (sin (* (/ 1/2 y) x)) (/ 1 (* (sin (* (/ 1/2 y) x)) (cos (* (/ x y) -1/2))))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (exp (log (/ (* 2 y) x))) (pow (exp (log (/ (* 2 y) x))) -1) (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (* (* y y) 8) (cos (* (/ x y) -1/2)) (sin (pow (exp (log (/ (* 2 y) x))) -1)) (log (/ (* 2 y) x)))
20.0ms	y	@	0	((/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)) (/ (neg x) (* (sqrt y) 2)) (/ 1 (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)))) (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (/ 1 (* (* y y) 8)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1 (* (* y y) 8))) 1) (* x x) (/ (tan (/ x (* y 2))) (sin (* (/ 1/2 y) x))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (* (sin (* (/ 1/2 y) x)) (/ 1 (* (sin (* (/ 1/2 y) x)) (cos (* (/ x y) -1/2))))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (exp (log (/ (* 2 y) x))) (pow (exp (log (/ (* 2 y) x))) -1) (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (* (* y y) 8) (cos (* (/ x y) -1/2)) (sin (pow (exp (log (/ (* 2 y) x))) -1)) (log (/ (* 2 y) x)))
20.0ms	x	@	-inf	((/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)) (/ (neg x) (* (sqrt y) 2)) (/ 1 (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y)))) (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (/ 1 (* (* y y) 8)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1 (* (* y y) 8))) 1) (* x x) (/ (tan (/ x (* y 2))) (sin (* (/ 1/2 y) x))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (* (sin (* (/ 1/2 y) x)) (/ 1 (* (sin (* (/ 1/2 y) x)) (cos (* (/ x y) -1/2))))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (exp (log (/ (* 2 y) x))) (pow (exp (log (/ (* 2 y) x))) -1) (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (* (* y y) 8) (cos (* (/ x y) -1/2)) (sin (pow (exp (log (/ (* 2 y) x))) -1)) (log (/ (* 2 y) x)))

simplify385.0ms (3.5%)

Memory

-8.6MiB live, 302.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	6722
1	1288	6623
2	4342	6613
0	8668	6266

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 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))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (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))))
(* 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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
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1
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(- (+ 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)))))))))
(* 8 (pow y 2))
(* 8 (pow y 2))
(* 8 (pow y 2))
(* 8 (pow y 2))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 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))
(* -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))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 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
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
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
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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
(+ 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 (+ (* -1/48 (/ (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))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x 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
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(* 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))))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 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))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -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))))
(* 1/8 (/ (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)
(pow x 2)
(pow x 2)
(pow x 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))))
(/ (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))
(/ 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)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 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))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (/ x y))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* -1/2 (* x (sqrt (/ 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))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -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))))
(* 1/8 (/ (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)
(pow x 2)
(pow x 2)
(pow x 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))))
(/ (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))
(/ 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)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 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))))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(cos (* -1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))

Outputs
(* -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 (* x (sqrt (/ 1 y))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1/2 (* x (sqrt (/ 1 y))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1/2 (* x (sqrt (/ 1 y))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1/2 (* x (sqrt (/ 1 y))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 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)))
(/ 1/8 (pow y 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
(/ 1/8 (pow y 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
(/ 1/8 (pow y 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
(/ 1/8 (pow y 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 y 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) x) y) (/.f64 x 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 (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 (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)
(/ 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))))
(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))
(* 1/2 (/ 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 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)
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 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)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 2 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)))
(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 (* 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))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))

rewrite169.0ms (1.5%)

Memory

6.3MiB live, 233.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	212
0	80	192
1	236	180
2	1148	147
0	9129	147

Stop Event

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

Counts

23 → 1 002

Calls

Call 1

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

Outputs
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eval625.0ms (5.7%)

Memory: 54.3MiB live, 663.5MiB allocated
Compiler: Compiled 41 591 to 3 986 computations (90.4% saved)

prune302.0ms (2.8%)

Memory

-46.0MiB live, 505.0MiB allocated

Pruning

112 alts after pruning (104 fresh and 8 done)

	Pruned	Kept	Total
New	2 021	38	2 059
Fresh	11	66	77
Picked	2	3	5
Done	0	5	5
Total	2 034	112	2 146

Accuracy

60.3%

Counts

2 146 → 112

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	50.8%	(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64))
	36.5%	(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	20.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	26.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	36.4%	(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
	39.6%	(/.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #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))))))
	22.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.8%	(/.f64 (tan.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	38.9%	(/.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)))))
	36.5%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))
	21.5%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) x)) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	23.0%	(/.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)))))
	39.7%	(/.f64 (tan.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))
	36.2%	(/.f64 (tan.f64 (/.f64 x (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
	36.2%	(/.f64 (tan.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	39.1%	(/.f64 (tan.f64 (/.f64 x (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 (tan.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	22.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64))))
	26.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) x)))) #s(literal -1 binary64))))
	26.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) x)) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
	35.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) y)))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) y)))))))) #s(literal -1 binary64))))
	35.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) (log.f64 x))) #s(literal -1 binary64))))
✓	36.5%	(/.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))))
	22.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))))
	35.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)))))
	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))
	20.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
	37.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
	39.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 y)))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
	35.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
	36.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 #s(literal 4 binary64))) #s(literal 1/2 binary64))))))
✓	36.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	39.4%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	39.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -7/8 binary64)) x))))
	39.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)))
✓	38.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	35.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)))
	36.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))))
	4.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow ( (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	35.9%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))
	39.1%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	35.9%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 x (.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	24.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
	38.7%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (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))))))
	39.3%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	36.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	38.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 (tan.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) x) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -7/8 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.3%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.8%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.1%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	35.9%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	36.1%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	38.2%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 y)))))
	35.5%	(/.f64 (tan.f64 (.f64 #s(approx ( (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.0%	(/.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 (/.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))))))
	39.8%	(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
	35.5%	(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.9%	(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)))))
	20.5%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))
	36.4%	(/.f64 (neg.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))))
	51.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64)))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 y))))
	50.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 y)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 y))))
	51.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
	51.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x))))
	41.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)))))
	51.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))))
	51.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
	51.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))))
	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 y))))))
	51.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))
	52.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
✓	51.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))
	51.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64))))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
	51.2%	(/.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))))
	51.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))
	48.3%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))
	36.3%	(.f64 (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	38.8%	(.f64 (sin.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	38.8%	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	39.1%	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
✓	39.6%	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	36.2%	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	38.4%	(.f64 (sin.f64 (.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 -1/4 binary64))) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	36.3%	(.f64 (sin.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	36.5%	(.f64 (sin.f64 (exp.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	39.0%	(.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))))
	5.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
✓	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
	42.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64)))
	27.6%	#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)))
✓	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 5 905 to 2 392 computations (59.5% saved)

regimes329.0ms (3%)

Memory

16.2MiB live, 562.1MiB allocated

Counts

190 → 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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 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)))) #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 (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))
(/.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(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 (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 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 x (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 y)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 y))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #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 #s(approx (pow ( (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 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 #s(literal 1/2 binary64) (/.f64 y x))))
(.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))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
(/.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)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 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 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.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 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 y))))))
(/.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))))
(/.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)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
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(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.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 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 #s(literal 4 binary64))) #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)) (pow.f64 x #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))))
(.f64 (sin.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))
(.f64 (sin.f64 (exp.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
(/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) x)) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
(/.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 y)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) (log.f64 x))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) y))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (tan.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) x) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -7/8 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))))
(.f64 (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) (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 (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 (/.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 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1 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 (sin.f64 (.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 -1/4 binary64))) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y))) (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 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) (/.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 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 #s(approx ( (* x (pow (* 2 y) -3/4)) (pow (* 2 y) -1/8)) (.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (log.f64 y) #s(literal -7 binary64) (log.f64 #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/8 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (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 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #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 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #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 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) x)))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) x)) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) y)))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) y)))))))) #s(literal -1 binary64))))

Outputs

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

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

Calls

5 calls:

73.0ms	x
67.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
62.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
61.0ms	y
55.0ms	(*.f64 y #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
52.2%	1	`x`
54.3%	2	`y`
54.1%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
54.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
54.3%	2	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes23.0ms (0.2%)

Memory

-9.9MiB live, 27.0MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

21.0ms

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

Results

Accuracy	Segments	Branch
54.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes28.0ms (0.3%)

Memory

4.7MiB live, 44.5MiB allocated

Counts

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

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

Calls

3 calls:

14.0ms	y
6.0ms	(*.f64 y #s(literal 2 binary64))
6.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.3%	2	`y`
54.3%	2	`(*.f64 y #s(literal 2 binary64))`
54.2%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes22.0ms (0.2%)

Memory

13.2MiB live, 48.2MiB allocated

Counts

18 → 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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 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)))) #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 (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))
(/.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(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 (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 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))

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

Calls

3 calls:

10.0ms	y
6.0ms	(*.f64 y #s(literal 2 binary64))
5.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.2%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
54.1%	2	`y`
54.1%	2	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

17 → 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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 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)))) #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 (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))
(/.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(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 (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 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
54.2%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-22.8MiB live, 14.9MiB allocated

Counts

13 → 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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 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)))) #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 (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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 (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
54.2%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.1%)

Memory

7.8MiB live, 47.1MiB allocated

Counts

10 → 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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 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)))) #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 (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (/.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 (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
52.2%	1	`y`
52.2%	1	`(*.f64 y #s(literal 2 binary64))`
54.0%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -32.6b remaining (-106.8%)

Threshold costs -32.6b (-106.8%)

Counts

8 → 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 (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (exp (log (/ (* 2 y) x))) -1))) (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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 8 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)))) #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 (/ (/ (neg x) (* (sqrt y) 2)) (sqrt y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
52.2%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0499341648650723e+119	2.831271858096664e+120

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3185743274460857e+150	1.3440469298862708e+151

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	1.4644143372385704e-134	1.030518067972782e-133

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0499341648650723e+119	2.831271858096664e+120

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0499341648650723e+119	2.831271858096664e+120

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0499341648650723e+119	2.831271858096664e+120

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0499341648650723e+119	2.831271858096664e+120

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify273.0ms (2.5%)

Memory

-42.1MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	266
1	84	266
2	102	266
3	130	266
4	146	266
5	156	266
6	159	266

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 y)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 3999999999999999923342384689749498362292480056121275172364659240616400448814714331905193074464884607850808241064704021762268129324833615792933494063104 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 y #s(literal 2 binary64)) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 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 (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (sqrt.f64 y)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) y))) (sqrt.f64 y)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 3999999999999999923342384689749498362292480056121275172364659240616400448814714331905193074464884607850808241064704021762268129324833615792933494063104 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3999999999999999923342384689749498362292480056121275172364659240616400448814714331905193074464884607850808241064704021762268129324833615792933494063104 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 y #s(literal 2 binary64)) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(if (<=.f64 (.f64 #s(literal 2 binary64) y) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 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 (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 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 (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

soundness1.1s (10.2%)

Memory

6.9MiB live, 741.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	212
0	80	192
1	236	180
2	1148	147
0	9129	147
0	8	33
0	13	33
1	33	33
2	142	28
3	788	28
0	8171	28
0	316	2054
1	950	2028
2	3392	1926
0	9111	1817
0	39	228
0	66	186
1	225	162
2	1293	134
0	8960	134
0	44	209
0	70	154
1	208	114
2	903	109
3	6600	109
0	8335	109

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

Compiler

Compiled 416 to 252 computations (39.4% saved)

preprocess125.0ms (1.2%)

Memory: -2.5MiB live, 200.7MiB allocated
Compiler: Compiled 496 to 250 computations (49.6% 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	44	299
0	70	303
1	95	253
2	145	253
3	250	253
4	401	253
5	585	253
6	630	253
0	630	253

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	44	299
0	70	303
1	95	253
2	145	253
3	250	253
4	401	253
5	585	253
6	630	253
0	630	253

start0.0ms (0%)

analyze589.0ms (5.4%)

sample1.9s (17.7%)

explain158.0ms (1.4%)

preprocess25.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize49.0ms (0.5%)

series21.0ms (0.2%)

simplify364.0ms (3.3%)

rewrite140.0ms (1.3%)

eval204.0ms (1.9%)

prune124.0ms (1.1%)

simplify120.0ms (1.1%)

localize299.0ms (2.7%)

series119.0ms (1.1%)

simplify502.0ms (4.6%)

rewrite142.0ms (1.3%)

eval328.0ms (3%)

prune191.0ms (1.7%)

simplify15.0ms (0.1%)

localize417.0ms (3.8%)

series399.0ms (3.7%)

simplify236.0ms (2.2%)

rewrite167.0ms (1.5%)

eval191.0ms (1.7%)

prune170.0ms (1.6%)

simplify129.0ms (1.2%)

localize293.0ms (2.7%)

series158.0ms (1.4%)

simplify385.0ms (3.5%)

rewrite169.0ms (1.5%)

eval625.0ms (5.7%)

prune302.0ms (2.8%)

regimes329.0ms (3%)

regimes23.0ms (0.2%)

regimes28.0ms (0.3%)

regimes22.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify273.0ms (2.5%)

soundness1.1s (10.2%)

preprocess125.0ms (1.2%)

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

Iter	Nodes	Cost
0	44	299
0	70	303
1	95	253
2	145	253
3	250	253
4	401	253
5	585	253
6	630	253
0	630	253