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

analyze481.0ms (3.7%)

Memory

27.2MiB live, 220.8MiB 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)

sample1.5s (11.7%)

Memory

31.0MiB live, 1 981.4MiB allocated

Samples

894.0ms	3 957×	1	valid
323.0ms	4 299×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 945.0ms

ival-sin: 298.0ms (31.5% of total)

ival-div: 285.0ms (30.2% of total)

ival-tan: 215.0ms (22.7% of total)

ival-mult: 79.0ms (8.4% of total)

adjust: 54.0ms (5.7% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess24.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

explain341.0ms (2.6%)

Memory

-20.8MiB live, 182.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	96	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	96	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	39	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	39
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	39	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	39
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	35	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	35
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	35
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	35
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	35

Confusion

	Predicted +	Predicted -
+	170	0
-	0	86

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	170	0	0
-	0	0	86

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	86
1	35
2	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	264×	1	valid
16.0ms	248×	0	valid

Compiler

Compiled 106 to 36 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sin: 17.0ms (37.2% of total)

ival-tan: 12.0ms (26.3% of total)

ival-div: 9.0ms (19.7% of total)

ival-mult: 4.0ms (8.8% of total)

adjust: 3.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify5.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (0.6%)

Memory

-10.4MiB live, 99.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	86.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

62.0ms	132×	1	valid
9.0ms	124×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sin: 43.0ms (69.9% of total)

ival-tan: 7.0ms (11.4% of total)

ival-div: 6.0ms (9.8% of total)

ival-mult: 4.0ms (6.5% of total)

adjust: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

-20.0MiB live, 39.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<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))))>
#<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))))))>
#<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)))))))))>
#<alt 1>
#<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))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<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)>
#<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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<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)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(/ x (* y 2))
3.0ms	y	@	inf	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms	y	@	-inf	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms	x	@	inf	(/ x (* y 2))
1.0ms	x	@	0	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))

simplify444.0ms (3.4%)

Memory

38.1MiB live, 871.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	2054
1	950	2028
2	3388	1926
0	9111	1817

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 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
(- (+ 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))
(* 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))))
(/ (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))))
(/ (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))))
(/ (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))
(/ (- (+ (* -1/48 (/ (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 (/ (- (+ (* -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))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 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)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 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))))
(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)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (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)
(* 1/2 (/ 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))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y 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 (.f64 x x) (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))) #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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
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 x x) (.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x (*.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))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 y y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 y y))) (/.f64 (.f64 #s(literal 1/1920 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 y y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1/384 binary64)) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)))) (.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) x) (fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/1920 binary64) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/322560 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
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))))
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(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64)))) 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)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 binary64) (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 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite265.0ms (2%)

Memory

4.3MiB live, 233.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

5 → 380

Calls

Call 1

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

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

eval110.0ms (0.8%)

Memory: 22.8MiB live, 173.0MiB allocated
Compiler: Compiled 14 207 to 1 770 computations (87.5% saved)

prune211.0ms (1.6%)

Memory

-81.6MiB live, 323.9MiB allocated

Pruning

58 alts after pruning (58 fresh and 0 done)

	Pruned	Kept	Total
New	621	58	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	622	58	680

Accuracy

58.3%

Counts

680 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	51.2%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
	37.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.0%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	6.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	26.0%	(/.f64 (.f64 (/.f64 #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 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	18.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
	6.9%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.0%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	15.7%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 x (.f64 y #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 y #s(literal -2 binary64)))))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	17.4%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	14.8%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.4%	(/.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)))))
	15.3%	(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	35.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
▶	23.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	34.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
	38.3%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	25.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	12.7%	(/.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 (.f64 x x)))) (*.f64 x x))))
	19.4%	(/.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)))
	20.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 y #s(literal -2 binary64))))))
	34.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	37.5%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
	37.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	34.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	26.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)))
	34.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	35.5%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.4%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.0%	(/.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)))))
▶	37.8%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.6%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y)))) (.f64 y #s(literal 2 binary64)))) (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)))))
	34.5%	(/.f64 (tan.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
	18.7%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
	6.3%	(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
	34.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.0%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	41.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
▶	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 566 to 1 658 computations (35.4% saved)

simplify256.0ms (2%)

Memory

15.6MiB live, 378.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	1088	(/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	13184	(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	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 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
✓	cost-diff	704	(.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
✓	cost-diff	0	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
✓	cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
✓	cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Rules

6 304×	`lower-fma.f32`
6 302×	`lower-fma.f64`
3 666×	`lower-*.f32`
3 652×	`lower-*.f64`
2 866×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	316
0	68	311
1	106	300
2	214	260
3	466	260
4	1358	260
5	3974	260
6	7298	260
0	8467	260

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

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

localize275.0ms (2.1%)

Memory

2.0MiB live, 346.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	86.5%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	86.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
✓	accuracy	73.6%	(pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
✓	accuracy	52.6%	(sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
✓	accuracy	51.9%	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	86.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	accuracy	78.9%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
✓	accuracy	82.1%	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
✓	accuracy	48.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	accuracy	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

176.0ms	132×	1	valid
38.0ms	124×	0	valid

Compiler

Compiled 306 to 37 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-sin: 47.0ms (25.5% of total)

ival-mult: 46.0ms (24.9% of total)

ival-pow: 33.0ms (17.9% of total)

ival-div: 31.0ms (16.8% of total)

ival-tan: 17.0ms (9.2% of total)

adjust: 6.0ms (3.2% of total)

ival-add: 2.0ms (1.1% of total)

ival-neg: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series55.0ms (0.4%)

Memory

3.9MiB live, 122.7MiB allocated

Counts

20 → 456

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<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))))>
#<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))))))>
#<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)))))))))>
#<alt 1>
#<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))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<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))))>
#<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))))))>
#<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)))))))))>
#<alt 1>
#<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))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (/ 1/8 (pow y 2))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<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))))>
#<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))))))>
#<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)))))))))>
#<alt 1>
#<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))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
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#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<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)))) y)>
#<alt (* -1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))>
#<alt (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1/2 (/ x y))>

Calls

114 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(/ (tan (* (pow (* y 2) -1/2) (/ (pow (* y 2) -1/2) (/ 1 x)))) (sin (/ x (* y 2))))
4.0ms	y	@	inf	(/ (tan (* (pow (* y 2) -1/2) (/ (pow (* y 2) -1/2) (/ 1 x)))) (sin (/ x (* y 2))))
4.0ms	x	@	0	(* (/ y (* x 1/2)) (/ y (* x 1/2)))
3.0ms	y	@	-inf	(/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2)))
2.0ms	x	@	0	(/ (tan (* (pow (* y 2) -1/2) (/ (pow (* y 2) -1/2) (/ 1 x)))) (sin (/ x (* y 2))))

simplify535.0ms (4.1%)

Memory

13.0MiB live, 821.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 310×	`lower-fma.f64`
12 310×	`lower-fma.f32`
6 014×	`lower-*.f64`
6 014×	`lower-*.f32`
4 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	10228
1	2233	9815
0	8521	9361

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite397.0ms (3%)

Memory

-9.2MiB live, 460.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 926×	`lower-*.f32`
5 912×	`lower-*.f64`
3 556×	`lower-fma.f32`
3 554×	`lower-fma.f64`
3 182×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	243
0	68	205
1	217	195
2	1227	142
0	8764	142

Stop Event

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

Counts

20 → 1 499

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 8 binary64))))
(+.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -8 binary64))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 y (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -8 binary64))))))
(fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) y) #s(literal 1 binary64))
(fma.f64 (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x (neg.f64 x)) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) y) (.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) y) (.f64 x x)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
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(.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 x (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
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(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
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(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
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(.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))
(.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))
(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (pow.f64 (.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x) x)
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(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))
(.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) x) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 x y))
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
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(.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
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(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 x))
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eval732.0ms (5.6%)

Memory: 12.2MiB live, 513.3MiB allocated
Compiler: Compiled 60 530 to 4 746 computations (92.2% saved)

prune369.0ms (2.8%)

Memory

-18.3MiB live, 918.6MiB allocated

Pruning

79 alts after pruning (77 fresh and 2 done)

	Pruned	Kept	Total
New	2 443	48	2 491
Fresh	24	29	53
Picked	3	2	5
Done	0	0	0
Total	2 470	79	2 549

Accuracy

60.6%

Counts

2 549 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	51.2%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
	37.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.0%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	6.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	6.9%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	37.3%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	10.0%	(/.f64 (tan.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
▶	34.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (tan.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 0 binary64))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.7%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	17.4%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
▶	19.8%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))))
	15.8%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (.f64 x x))))
	19.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	17.7%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	14.8%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 y x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	22.3%	(/.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 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	9.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (.f64 y y) (exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))))) #s(literal -1/2 binary64))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	34.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
	34.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	19.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x)))
	25.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	34.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	18.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
	37.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
	38.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal -1 binary64) x)))))
	38.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
	23.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
	38.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))))
	34.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	4.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow ( (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
	35.5%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	23.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	19.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 y x))))
	38.3%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	37.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))))))
	37.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	38.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	23.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal -2 binary64))))))))
	34.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))))
	34.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	38.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (exp.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (log.f64 x) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.5%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.3%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (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)))))
	19.6%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.5%	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	24.0%	(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal -2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.3%	(/.f64 (tan.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.5%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
	18.7%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
	6.3%	(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
▶	52.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.0%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
▶	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
✓	41.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 587 to 2 365 computations (34.1% saved)

simplify364.0ms (2.8%)

Memory

9.8MiB live, 442.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	6464	(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(tan.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	12928	(pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
✓	cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
✓	cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))

Rules

6 428×	`lower-fma.f64`
6 428×	`lower-fma.f32`
3 476×	`lower-*.f32`
3 468×	`lower-*.f64`
2 810×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	271
0	69	260
1	99	253
2	189	227
3	426	227
4	1376	225
5	3970	225
6	7349	225
0	8478	225

Stop Event

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

Calls

Call 1

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

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

localize283.0ms (2.2%)

Memory

9.1MiB live, 602.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	accuracy	71.7%	(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
✓	accuracy	86.5%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	accuracy	72.3%	(pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	86.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
✓	accuracy	78.9%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
✓	accuracy	52.6%	(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	accuracy	51.9%	(tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
✓	accuracy	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	accuracy	52.7%	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

177.0ms	132×	1	valid
46.0ms	124×	0	valid

Compiler

Compiled 271 to 40 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-pow: 43.0ms (24.8% of total)

ival-div: 39.0ms (22.4% of total)

ival-tan: 23.0ms (13.2% of total)

ival-sin: 22.0ms (12.7% of total)

ival-exp: 9.0ms (5.2% of total)

ival-mult: 9.0ms (5.2% of total)

adjust: 8.0ms (4.6% of total)

ival-log: 8.0ms (4.6% of total)

ival-cos: 7.0ms (4% of total)

ival-pow2: 4.0ms (2.3% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series192.0ms (1.5%)

Memory

17.1MiB live, 165.1MiB allocated

Counts

21 → 492

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))>
#<alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))>
#<alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))>
#<alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y)))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<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))))>
#<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))))))>
#<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)))))))))>
#<alt -1>
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#<alt 1>
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#<alt 1>
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#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))>
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#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<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)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
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#<alt (sin (* 1/2 (/ x y)))>
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#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
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#<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)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>

Calls

123 calls:

Time	Variable		Point	Expression
74.0ms	x	@	0	(log (/ y (* x 1/2)))
35.0ms	y	@	0	(log (/ y (* x 1/2)))
13.0ms	x	@	-inf	(log (/ y (* x 1/2)))
13.0ms	y	@	-inf	(log (/ y (* x 1/2)))
7.0ms	y	@	0	(/ 1 (cos (/ x (* y 2))))

simplify518.0ms (4%)

Memory

-5.0MiB live, 776.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 338×	`lower-fma.f64`
12 338×	`lower-fma.f32`
6 330×	`lower-*.f64`
6 330×	`lower-*.f32`
4 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	780	10030
1	2383	9385
0	8733	8978

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 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 (/ (+ (* -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 (* (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))))))
(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)))
(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)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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
(+ 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))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 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)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 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 (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)))))
(/ (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)))))
(/ 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
(- (+ 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
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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 (/ (- (* -1/3840 (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
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(/ (* x (pow (sqrt 1/2) 2)) y)
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(* 2 (pow (sqrt 1/2) 2))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(* 2 (pow (sqrt 1/2) 2))
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
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1
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1
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1
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(* 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))))
(/ (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))))
(/ (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))))
(/ (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))
(/ (- (+ (* -1/48 (/ (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 (/ (- (+ (* -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))
(* 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))))
(/ (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))))
(/ (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))))
(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
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(/ (+ (* -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)
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
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(sin (* 1/2 (/ x y)))
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(* 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))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (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)
(* 1/2 (/ 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 y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (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))))
(+ (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))))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (log (/ 1 x)))
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(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (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
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
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(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y 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))))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 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 x x) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y 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))))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 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 x x) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
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(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
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(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
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(+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
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(+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
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(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) 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))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/48 binary64) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64)))) 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)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.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 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (.f64 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))

rewrite391.0ms (3%)

Memory

21.6MiB live, 447.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 342×	`lower-*.f32`
3 334×	`lower-*.f64`
2 308×	`lower-+.f64`
2 308×	`lower-+.f32`
2 290×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	201
0	69	137
1	215	136
2	949	131
3	6137	131
0	8409	131

Stop Event

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

Counts

21 → 1 537

Calls

Call 1

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

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

eval457.0ms (3.5%)

Memory: -100.8MiB live, 652.7MiB allocated
Compiler: Compiled 52 370 to 4 810 computations (90.8% saved)

prune492.0ms (3.8%)

Memory

-13.6MiB live, 1 009.5MiB allocated

Pruning

112 alts after pruning (108 fresh and 4 done)

	Pruned	Kept	Total
New	2 451	59	2 510
Fresh	23	49	72
Picked	3	2	5
Done	0	2	2
Total	2 477	112	2 589

Accuracy

61.1%

Counts

2 589 → 112

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	51.2%	(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
	51.2%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
	37.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.0%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	36.8%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.9%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	33.9%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))))
	18.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 x (neg.f64 x)))))
	37.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	34.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	34.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.1%	(/.f64 (tan.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.4%	(/.f64 (tan.f64 (pow.f64 (.f64 y (exp.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) (log.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	34.6%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	35.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	34.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))))
	34.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -2 binary64))))))
	21.9%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 x y)))))
	21.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x y))))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.6%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.4%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.5%	(/.f64 (tan.f64 (pow.f64 #s(approx (pow (/ y (* x 1/2)) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (tan.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 0 binary64))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	17.4%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
	18.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))))
	17.8%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))))
	14.8%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x y)))))
	17.7%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.4%	(/.f64 (tan.f64 (/.f64 (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	14.8%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	22.3%	(/.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 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	9.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (.f64 y y) (exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))))) #s(literal -1/2 binary64))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	34.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	19.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x)))
	25.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	34.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	38.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal -1 binary64) x)))))
	38.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
	23.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))))
	34.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	4.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow ( (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
	35.5%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.6%	(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	38.3%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	23.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal -2 binary64))))))))
	34.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))))
	38.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (exp.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (log.f64 x) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.5%	(/.f64 (tan.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (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)))))
	19.6%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.6%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
▶	38.5%	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	24.6%	(/.f64 (tan.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 x y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	23.3%	(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	34.3%	(/.f64 (tan.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	35.3%	(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
	6.3%	(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
	37.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
	47.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (.f64 y (/.f64 y (.f64 x (*.f64 x #s(literal 1/4 binary64))))) #s(literal -1/2 binary64))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))))
▶	52.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
	47.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
	52.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	42.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))))
	52.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
✓	52.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	41.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 y)) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
	52.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal -2 binary64))))))
	52.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
	52.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/4 binary64))))))
	50.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
▶	53.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
	52.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	40.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
	40.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))))
	45.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x y)))))
	45.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
	46.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 y (/.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 y (/.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))))))) #s(literal -1/4 binary64)))))
	52.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
▶	43.0%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	6.3%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.0%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
	4.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) (/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (.f64 (sin.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))))
✓	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
✓	41.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 4 677 to 3 182 computations (32% saved)

simplify362.0ms (2.8%)

Memory

5.4MiB live, 363.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	cost-diff	7808	(pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	11776	(exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(exp.f64 #s(literal -1 binary64))
✓	cost-diff	0	(cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
✓	cost-diff	19264	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64)))) x)
✓	cost-diff	0	(tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64)))) x))
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	cost-diff	0	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
✓	cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

Rules

7 680×	`lower-*.f32`
7 666×	`lower-*.f64`
2 708×	`lower-fma.f32`
2 706×	`lower-fma.f64`
1 866×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	326
0	73	344
1	106	254
2	202	254
3	446	254
4	1381	254
5	2496	254
6	3224	254
7	3635	254
8	4038	254
9	4534	254
10	5424	254
11	5967	254
12	6260	254
13	6499	254
14	6718	254
15	7779	254
0	8331	254

Stop Event

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

Calls

Call 1

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

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

localize310.0ms (2.4%)

Memory

38.8MiB live, 542.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	accuracy	71.7%	(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	93.6%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	71.7%	(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	52.7%	(cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	86.5%	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	accuracy	72.1%	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64))))
✓	accuracy	52.6%	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	51.9%	(tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64)))) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
✓	accuracy	76.6%	(/.f64 (.f64 x x) (.f64 y y))
✓	accuracy	48.1%	#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	accuracy	52.7%	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))

Samples

163.0ms	132×	1	valid
43.0ms	124×	0	valid

Compiler

Compiled 307 to 42 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-exp: 43.0ms (25% of total)

ival-div: 24.0ms (13.9% of total)

ival-mult: 21.0ms (12.2% of total)

ival-pow: 20.0ms (11.6% of total)

ival-cos: 19.0ms (11% of total)

ival-tan: 15.0ms (8.7% of total)

ival-log: 9.0ms (5.2% of total)

adjust: 7.0ms (4.1% of total)

ival-sin: 6.0ms (3.5% of total)

ival-pow2: 4.0ms (2.3% of total)

ival-add: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series110.0ms (0.8%)

Memory

-4.7MiB live, 71.2MiB allocated

Counts

23 → 504

Calls

Call 1

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

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
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#<alt (* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))>
#<alt (/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))>
#<alt (/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))>
#<alt (/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<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)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>

Calls

126 calls:

Time	Variable		Point	Expression
56.0ms	x	@	inf	(pow (exp -1) (log (/ y (* x 1/2))))
14.0ms	y	@	0	(pow (exp -1) (log (/ y (* x 1/2))))
10.0ms	y	@	-inf	(cos (* (/ 1/2 y) (pow (/ 1 x) -1)))
6.0ms	x	@	0	(pow (exp -1) (log (/ y (* x 1/2))))
3.0ms	x	@	-inf	(/ 1 (cos (pow (exp -1) (log (/ y (* x 1/2))))))

simplify484.0ms (3.7%)

Memory

7.4MiB live, 771.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 114×	`lower-fma.f64`
12 114×	`lower-fma.f32`
6 106×	`lower-*.f64`
6 106×	`lower-*.f32`
4 636×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	8368
1	2312	7923
0	8583	7629

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 492

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 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
(+ 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 (/ (+ (* -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 (* (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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 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
(+ 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
(+ 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))))))
(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)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(* 1/2 (/ x y))
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(* 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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 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 (/ (+ (* -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 (* (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))))))
(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)))
(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)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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
(+ 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
(+ 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 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/8 (/ (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
(+ 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
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(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ 1/2 y)
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(/ 1/2 y)
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(/ 1/2 y)
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 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
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
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(- (+ 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 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(* 2 (pow (sqrt 1/2) 2))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
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(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(* 2 (pow (sqrt 1/2) 2))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)
(/ (- (+ (* -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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y))
(* -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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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))))
(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)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (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)
(* 1/2 (/ 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 y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (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))))
(+ (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))))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (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
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y 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 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 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 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y 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 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 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 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y 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 x (.f64 x (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)))) #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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
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(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) 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))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/48 binary64) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/48 binary64) (.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64)))) 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)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal -1/2 binary64)))) (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 x #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))

rewrite288.0ms (2.2%)

Memory

4.1MiB live, 433.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 650×	`lower-*.f32`
4 636×	`lower-*.f64`
3 824×	`lower-fma.f32`
3 822×	`lower-fma.f64`
3 086×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	239
0	73	221
1	218	149
2	1090	149
0	8027	149

Stop Event

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

Counts

23 → 1 509

Calls

Call 1

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

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

eval316.0ms (2.4%)

Memory: -2.2MiB live, 539.0MiB allocated
Compiler: Compiled 42 422 to 4 503 computations (89.4% saved)

prune554.0ms (4.2%)

Memory

20.8MiB live, 787.8MiB allocated

Pruning

139 alts after pruning (132 fresh and 7 done)

	Pruned	Kept	Total
New	2 081	52	2 133
Fresh	23	80	103
Picked	2	3	5
Done	0	4	4
Total	2 106	139	2 245

Accuracy

61.5%

Counts

2 245 → 139

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	51.2%	(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
	51.2%	(pow.f64 (.f64 (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
	37.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	36.8%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.9%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	33.9%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))))
	18.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 x (neg.f64 x)))))
	37.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	34.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	34.4%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.3%	(/.f64 (tan.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.1%	(/.f64 (tan.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.9%	(/.f64 (tan.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 y))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.4%	(/.f64 (tan.f64 (pow.f64 (.f64 y (exp.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.2%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) (log.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.5%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 y #s(literal 2 binary64))) (log.f64 x)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	34.6%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))))
	34.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -2 binary64))))))
	21.9%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 x y)))))
	21.3%	(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x y))))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.6%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	34.1%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.4%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.7%	(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.5%	(/.f64 (tan.f64 (pow.f64 #s(approx (pow (/ y (* x 1/2)) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.9%	(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (tan.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 0 binary64))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	17.4%	(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	35.2%	(/.f64 (tan.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 y)))) (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
	18.6%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))))
	17.8%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))))
	14.8%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x y)))))
	17.7%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.4%	(/.f64 (tan.f64 (/.f64 (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	14.8%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	35.4%	(/.f64 (tan.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (exp.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	22.3%	(/.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 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	9.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (.f64 y y) (exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))))) #s(literal -1/2 binary64))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	34.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	19.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x)))
	25.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	38.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal -1 binary64) x)))))
	38.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
	23.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
	34.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	4.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow ( (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
	34.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.6%	(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (.f64 y (/.f64 #s(literal -2 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	23.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	38.3%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	23.9%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal -2 binary64))))))))
	38.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (exp.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (log.f64 x) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	21.6%	(/.f64 (tan.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	24.6%	(/.f64 (tan.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) 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)))))
	19.6%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.0%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (/.f64 #s(literal -2 binary64) x)))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.9%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.6%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	38.3%	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	23.3%	(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	35.5%	(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	35.1%	(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.3%	(/.f64 (tan.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.7%	(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
	6.3%	(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
	37.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
	47.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (.f64 y (/.f64 y (.f64 x (*.f64 x #s(literal 1/4 binary64))))) #s(literal -1/2 binary64))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))))
	37.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64)))))))))
	51.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) (-.f64 (log.f64 y) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))))))
	37.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64)))))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (log.f64 y) (log.f64 #s(literal 1/2 binary64))) (log.f64 x)))))
	52.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64))))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
✓	52.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
	51.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))))
	53.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
	51.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))))
	47.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
	52.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 2 binary64))))))
	52.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	51.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 x #s(literal 1/2 binary64)))))))
	51.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 y)))) (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
	42.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))))
	46.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 y #s(literal -2 binary64)))))))
	51.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (exp.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))))
	52.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
✓	52.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	52.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
	41.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
	52.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) x)))))
	52.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/4 binary64))))))
	50.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
	50.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
	51.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
	45.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))))
	50.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 x)))))
	51.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))
	53.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 x) (sqrt.f64 x)))))
	52.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (log.f64 x)))))
	52.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	40.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))))))
	52.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
	40.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))))
	45.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
	46.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 y (/.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 y (/.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))))))) #s(literal -1/4 binary64)))))
	52.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
	52.5%	(/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (pow (exp -1) (log (/ y (* x 1/2)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)))))))
	52.1%	(/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (pow (exp -1) (log (/ y (* x 1/2)))) (exp.f64 (neg.f64 (+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))))))))
✓	43.0%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	6.3%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.0%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.9%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	37.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
	4.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) (/.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (.f64 (sin.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))))
✓	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
✓	41.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 7 136 to 2 871 computations (59.8% saved)

regimes416.0ms (3.2%)

Memory

3.4MiB live, 720.3MiB allocated

Counts

218 → 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 (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 y)) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 x)))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (.f64 y (/.f64 y (.f64 x (*.f64 x #s(literal 1/4 binary64))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.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 ( (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.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 (tan.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 x y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 y x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (.f64 y (/.f64 #s(literal -2 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.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 (tan.f64 (.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #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 (/.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x)))
(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal -2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
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(/.f64 (tan.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) (-.f64 (log.f64 y) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))) (log.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64)))))))))

Outputs

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

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

Calls

5 calls:

103.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
100.0ms	y
68.0ms	x
66.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
65.0ms	(*.f64 y #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
53.1%	1	`x`
53.1%	1	`y`
55.1%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.1%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
53.1%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes152.0ms (1.2%)

Memory

5.7MiB live, 276.2MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

82.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
51.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
55.0%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.0%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes16.0ms (0.1%)

Memory

-15.6MiB live, 27.0MiB 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 (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y #s(literal 2 binary64))) (*.f64 x x)))))

Outputs
(/.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

2 calls:

8.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
54.7%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
54.8%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes11.0ms (0.1%)

Memory

-9.0MiB live, 30.6MiB allocated

Accuracy

Total -33.1b remaining (-109.8%)

Threshold costs -33.1b (-109.8%)

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`y`
52.9%	1	`(*.f64 y #s(literal 2 binary64))`
52.9%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
52.9%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.904973457441085e+224	1.1437164727483178e+226

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.138380506246753e+295	9.099436122109419e+295

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	4.138380506246753e+295	9.099436122109419e+295

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify7.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	128
1	53	128

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (/.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 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (pow (* (/ y (* x 1/2)) (/ y (* x 1/2))) -1/2))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (/.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 y #s(literal 2 binary64))) #s(literal 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

soundness991.0ms (7.6%)

Memory

-41.2MiB live, 742.1MiB allocated

Rules

14 468×	`lower-fma.f64`
14 468×	`lower-fma.f32`
12 310×	`lower-fma.f64`
12 310×	`lower-fma.f32`
6 082×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	201
0	69	137
1	215	136
2	949	131
3	6137	131
0	8409	131
0	316	2054
1	950	2028
2	3388	1926
0	9111	1817
0	717	10228
1	2233	9815
0	8521	9361
0	8	33
0	13	33
1	33	33
2	142	28
3	788	28
0	8171	28
0	42	239
0	73	221
1	218	149
2	1090	149
0	8027	149

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×	node limit
1×	iter limit

Compiler

Compiled 289 to 165 computations (42.9% saved)

preprocess200.0ms (1.5%)

Memory: -2.5MiB live, 113.0MiB allocated
Compiler: Compiled 350 to 198 computations (43.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze481.0ms (3.7%)

sample1.5s (11.7%)

preprocess24.0ms (0.2%)

explain341.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize83.0ms (0.6%)

series25.0ms (0.2%)

simplify444.0ms (3.4%)

rewrite265.0ms (2%)

eval110.0ms (0.8%)

prune211.0ms (1.6%)

simplify256.0ms (2%)

localize275.0ms (2.1%)

series55.0ms (0.4%)

simplify535.0ms (4.1%)

rewrite397.0ms (3%)

eval732.0ms (5.6%)

prune369.0ms (2.8%)

simplify364.0ms (2.8%)

localize283.0ms (2.2%)

series192.0ms (1.5%)

simplify518.0ms (4%)

rewrite391.0ms (3%)

eval457.0ms (3.5%)

prune492.0ms (3.8%)

simplify362.0ms (2.8%)

localize310.0ms (2.4%)

series110.0ms (0.8%)

simplify484.0ms (3.7%)

rewrite288.0ms (2.2%)

eval316.0ms (2.4%)

prune554.0ms (4.2%)

regimes416.0ms (3.2%)

regimes152.0ms (1.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness991.0ms (7.6%)

preprocess200.0ms (1.5%)

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