Metrics for Toniolo and Linder, Equation (3a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze160.0ms (1.2%)

Memory

-1.8MiB live, 230.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
50%	49.9%	49.9%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
75%	74.9%	25%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	11
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.3s (16.9%)

Memory

59.2MiB live, 2 726.5MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sin: 443.0ms (31.6% of total)

ival-pow2: 291.0ms (20.8% of total)

ival-div: 208.0ms (14.8% of total)

ival-add: 164.0ms (11.7% of total)

ival-mult: 153.0ms (10.9% of total)

ival-sqrt: 126.0ms (9% of total)

exact: 8.0ms (0.6% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain368.0ms (2.7%)

Memory

11.4MiB live, 601.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
38	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
15	-	-	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
4	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
0	-	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	-	`Om`
0	-	-	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	-	-	`(*.f64 #s(literal 2 binary64) l)`
0	-	-	`(sin.f64 ky)`
0	-	-	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
0	-	-	`kx`
0	-	-	`ky`
0	-	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
0	-	-	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
0	-	-	`(sin.f64 kx)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
0	-	-	`l`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`	oflow-rescue	38	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`	overflow	29
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	37
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	overflow	67
↳	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`	overflow	67
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	76
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	*no**	4	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	*ou**	2	0
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	37
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	76
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	70
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	62
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	24

Confusion

	Predicted +	Predicted -
+	6	3
-	38	209

Precision

0.13636363636363635

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	3
-	38	0	209

Precision?

0.13636363636363635

Recall?

0.6666666666666666

Freqs

test

number	freq
0	212
1	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms

512×

valid

Compiler

Compiled 445 to 70 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-sin: 27.0ms (33.5% of total)

ival-pow2: 19.0ms (23.6% of total)

ival-div: 12.0ms (14.9% of total)

ival-mult: 9.0ms (11.2% of total)

ival-add: 7.0ms (8.7% of total)

ival-sqrt: 6.0ms (7.5% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess177.0ms (1.3%)

Memory

6.1MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 280×	`lower-*.f32`
5 274×	`lower-*.f64`
3 044×	`lower-/.f32`
3 040×	`lower-/.f64`
2 794×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	391
1	330	354
2	871	354
3	3861	354
4	7924	354
0	22	27
0	39	27
1	64	25
2	124	25
3	440	25
4	1734	25
5	3039	25
6	3563	25
7	3800	25
8	4308	25
9	5672	25
10	6664	25
0	10090	24

Stop Event

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

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Outputs

(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (/.f64 l (*.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Symmetry

(abs ky)

(abs kx)

(abs Om)

(abs l)

(sort kx ky)

Compiler

Compiled 33 to 22 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Status

Accuracy

Program

▶

96.5%

(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify119.0ms (0.9%)

Memory

3.5MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))

Rules

5 280×	`lower-*.f32`
5 274×	`lower-*.f64`
3 044×	`lower-/.f32`
3 040×	`lower-/.f64`
2 794×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	198
0	39	198
1	64	194
2	124	194
3	440	194
4	1734	194
5	3039	194
6	3563	194
7	3800	194
8	4308	194
9	5672	194
10	6664	194
0	10090	188

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
(*.f64 #s(literal 2 binary64) l)
l
Om
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky

Outputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l)) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (/.f64 l (.f64 Om Om)) (.f64 #s(literal 4 binary64) l)))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(.f64 (/.f64 l (.f64 Om Om)) (*.f64 #s(literal 4 binary64) l))
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
(/.f64 (*.f64 l #s(literal 2 binary64)) Om)
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
l
Om
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky

localize100.0ms (0.7%)

Memory

-2.4MiB live, 118.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.34994125976844204	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	0.6692221637674304	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
accuracy	3.5176847221905896	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy	8.903618225949042	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Samples

65.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow2: 20.0ms (40.7% of total)

ival-sin: 11.0ms (22.4% of total)

ival-div: 6.0ms (12.2% of total)

ival-mult: 4.0ms (8.1% of total)

ival-add: 3.0ms (6.1% of total)

ival-sqrt: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (0.6%)

Memory

-11.3MiB live, 144.3MiB allocated

Counts

8 → 276

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) (taylor 0 kx) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (taylor 0 kx) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))) (taylor 0 kx) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))))) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (taylor 0 kx) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) (taylor 0 kx) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))) (taylor 0 kx) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (taylor -inf l) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (taylor -inf l) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) (taylor -inf l) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (taylor -inf l) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (taylor -inf l) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (taylor -inf l) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (taylor -inf l) (#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	ky	@	0	((pow (/ (* 2 l) Om) 2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (pow (sin ky) 2))
7.0ms	l	@	0	((pow (/ (* 2 l) Om) 2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (pow (sin ky) 2))
6.0ms	kx	@	0	((pow (/ (* 2 l) Om) 2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (pow (sin ky) 2))
6.0ms	kx	@	inf	((pow (/ (* 2 l) Om) 2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (pow (sin ky) 2))
6.0ms	Om	@	0	((pow (/ (* 2 l) Om) 2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (pow (sin ky) 2))

simplify262.0ms (1.9%)

Memory

13.2MiB live, 301.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 696×	`lower-fma.f64`
11 696×	`lower-fma.f32`
8 910×	`lower-*.f64`
8 910×	`lower-*.f32`
3 486×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	582	10419
1	1932	10186
2	7928	10184
0	8038	9659

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))))))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (* -2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (* (pow kx 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (* (pow kx 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l)
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* -2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l))

Outputs
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
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(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 kx kx) (.f64 l (/.f64 l (.f64 Om Om))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) l) l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) (.f64 kx kx)) (.f64 l (/.f64 l (.f64 Om Om))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (*.f64 kx kx) #s(literal 1 binary64)))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 8/45 binary64) (.f64 kx kx)) (.f64 l (/.f64 l (.f64 Om Om))) (/.f64 (.f64 (.f64 l l) #s(literal -4/3 binary64)) (.f64 Om Om))) (.f64 kx kx) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (*.f64 kx kx) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
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(* 4 (/ (pow l 2) (pow Om 2)))
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(* 4 (/ (pow l 2) (pow Om 2)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 #s(literal -1/32 binary64) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (.f64 l l) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 3/512 binary64) (.f64 Om Om)) (pow.f64 l #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 Om Om) (*.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om #s(literal 1/2 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
(/.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 #s(literal 1/4 binary64) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) l (.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 Om Om))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) l (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 l l) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 Om Om)) (pow.f64 l #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 Om Om) (.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 Om Om))) Om)
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 Om (/.f64 #s(literal 1/2 binary64) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om)
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 #s(literal 3/256 binary64) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 l l) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (.f64 Om Om) (.f64 (/.f64 #s(literal 1/2 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om)
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))))
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(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) Om (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 Om Om) Om)) (.f64 l l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -3/256 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l))
(/.f64 (fma.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -3/256 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 Om Om)) (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -3/256 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 Om #s(literal 8 binary64)) #s(literal 1/256 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) Om (.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 Om Om) Om)) (*.f64 l l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))))) (neg.f64 l))

rewrite329.0ms (2.4%)

Memory

-18.2MiB live, 258.1MiB allocated

Rules

9 134×	`lower-fma.f64`
9 134×	`lower-fma.f32`
6 008×	`lower-*.f32`
6 002×	`lower-*.f64`
2 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
0	37	116
1	129	113
2	924	113
0	8513	109

Stop Event

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

Counts

8 → 639

Calls

Call 1

Inputs
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) Om))
(.f64 (.f64 #s(literal 4 binary64) (/.f64 l Om)) (/.f64 l Om))
(.f64 (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (sqrt.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om))) (sqrt.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om)))
(.f64 (.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) l) (/.f64 #s(literal 2 binary64) Om))
(.f64 (.f64 l l) (*.f64 (/.f64 #s(literal 2 binary64) Om) (/.f64 #s(literal 2 binary64) Om)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) l) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) Om))
(.f64 (/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 l Om)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om)) Om) (/.f64 (sqrt.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) l))))
(.f64 (/.f64 (/.f64 l Om) Om) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) l))))
(.f64 (pow.f64 (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) Om))
(.f64 (pow.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 l Om))
(.f64 (pow.f64 (.f64 (*.f64 l l) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) Om) #s(literal 1 binary64)))
(*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) Om) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) Om) (/.f64 (/.f64 l Om) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) l))))
(.f64 (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (neg.f64 l)) (/.f64 #s(literal -1 binary64) Om))
(.f64 (/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) Om) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) l))))
(.f64 (/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) Om) (*.f64 l #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (/.f64 l Om) l) (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) l) (/.f64 #s(literal 1 binary64) Om))
(.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 l Om))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (/.f64 (/.f64 #s(literal -1 binary64) Om) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) l))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (*.f64 #s(literal -2 binary64) (/.f64 l Om)))
(.f64 (sqrt.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om)) (.f64 (sqrt.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om)) (/.f64 (*.f64 l #s(literal 2 binary64)) Om)))
(.f64 (neg.f64 (.f64 (.f64 l l) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 Om) Om)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) Om) (/.f64 #s(literal -1 binary64) Om)))
(.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 Om Om)))
(.f64 (.f64 (*.f64 l l) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) Om) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 l l) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) Om) Om))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) Om) (/.f64 (.f64 l #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) l))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) Om) (.f64 (*.f64 l l) #s(literal 4 binary64)))
(.f64 (.f64 (/.f64 l Om) (/.f64 l Om)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 l Om) (/.f64 l Om)) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 l Om) (/.f64 l Om)))
(.f64 (/.f64 l Om) (/.f64 (/.f64 #s(literal 2 binary64) Om) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) l))))
(.f64 (/.f64 l Om) (.f64 (/.f64 l Om) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) Om) (/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) l))))
(.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) l))
(.f64 (.f64 #s(literal -2 binary64) l) (.f64 (/.f64 #s(literal -1 binary64) Om) (/.f64 (.f64 l #s(literal 2 binary64)) Om)))
(.f64 (.f64 #s(literal -2 binary64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 #s(literal -2 binary64) l))))
(.f64 (.f64 #s(literal -2 binary64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 Om (.f64 l #s(literal 2 binary64))) (neg.f64 Om))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)))
(.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (/.f64 (/.f64 #s(literal 1 binary64) Om) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) l))))
(.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (/.f64 (*.f64 l #s(literal 2 binary64)) Om))
(.f64 (.f64 l #s(literal 2 binary64)) (.f64 (.f64 l #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) Om) Om)))
(.f64 (.f64 l #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 Om (.f64 l #s(literal 2 binary64))) Om)))
(.f64 (.f64 l #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 l #s(literal 2 binary64))))))
(.f64 (.f64 l #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) Om) #s(literal 1 binary64)))
(.f64 (.f64 l #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) Om))
(.f64 l (.f64 (/.f64 #s(literal 2 binary64) Om) (/.f64 (*.f64 l #s(literal 2 binary64)) Om)))
(.f64 l (.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) Om)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (*.f64 (/.f64 l Om) l) (/.f64 #s(literal 2 binary64) Om)) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (/.f64 l Om) l) (/.f64 #s(literal 2 binary64) Om)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om)))
(pow.f64 (.f64 (/.f64 Om (.f64 l #s(literal 2 binary64))) (/.f64 Om (*.f64 l #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 Om (*.f64 l #s(literal 2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 l l) #s(literal 4 binary64)))) (.f64 (neg.f64 Om) Om))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) l) #s(literal -1 binary64)) (neg.f64 Om))
(/.f64 (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 Om l))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) l) #s(literal 1 binary64)) Om)
(/.f64 (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal -1 binary64)) (/.f64 Om (*.f64 #s(literal -2 binary64) l)))
(/.f64 (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (neg.f64 l)) (neg.f64 Om))
(/.f64 (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) l) Om)
(/.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l))
(/.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (/.f64 Om (.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (.f64 (.f64 l l) #s(literal 4 binary64))) (*.f64 (neg.f64 Om) Om))
(/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))
(/.f64 (.f64 #s(literal -2 binary64) l) (/.f64 (.f64 Om Om) (*.f64 #s(literal -2 binary64) l)))
(/.f64 (.f64 #s(literal -2 binary64) l) (.f64 (/.f64 Om (*.f64 l #s(literal 2 binary64))) (neg.f64 Om)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 Om (.f64 l #s(literal 2 binary64))) (/.f64 Om (*.f64 l #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 Om) (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 Om (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 Om Om) (.f64 #s(literal -2 binary64) l)) (*.f64 #s(literal -2 binary64) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 Om) Om) (neg.f64 (.f64 (*.f64 l l) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 Om (/.f64 Om (.f64 l #s(literal 2 binary64)))) (*.f64 l #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 (*.f64 l l) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 Om (.f64 l #s(literal 2 binary64))) (/.f64 Om (*.f64 l #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 Om (.f64 l #s(literal 2 binary64))) (/.f64 Om (*.f64 l #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (/.f64 Om (.f64 l #s(literal 2 binary64))))
(/.f64 (.f64 l #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 Om Om) (*.f64 #s(literal -2 binary64) l))))
(/.f64 (.f64 l #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 Om (*.f64 l #s(literal 2 binary64))) (neg.f64 Om))))
(/.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 Om (*.f64 l #s(literal 2 binary64))) Om))
(/.f64 (.f64 l #s(literal 2 binary64)) (.f64 Om (/.f64 Om (*.f64 l #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 l l) #s(literal 4 binary64))) (*.f64 Om Om)))
(exp.f64 (+.f64 (log.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om)) (log.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om)) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))))))
(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))))))
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(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (sin.f64 kx))) (sin.f64 kx) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
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(fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
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(fma.f64 (.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (sin.f64 ky))) (.f64 (.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (sin.f64 ky))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
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(fma.f64 (.f64 (.f64 (sin.f64 kx) l) (/.f64 #s(literal 2 binary64) Om)) (.f64 (.f64 (.f64 (sin.f64 kx) l) (/.f64 #s(literal 2 binary64) Om)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (.f64 (.f64 (sin.f64 kx) l) (/.f64 #s(literal 2 binary64) Om)) (.f64 (.f64 (sin.f64 kx) l) (/.f64 #s(literal 2 binary64) Om)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
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(fma.f64 #s(literal 4 binary64) (.f64 (.f64 (/.f64 l Om) (/.f64 l Om)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
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(fma.f64 (.f64 #s(literal -2 binary64) l) (.f64 (/.f64 #s(literal -1 binary64) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (sin.f64 ky) (.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (sin.f64 ky) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (.f64 (sin.f64 ky) l) (/.f64 #s(literal 2 binary64) Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (sin.f64 ky) (.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (sin.f64 kx) (.f64 (.f64 (sin.f64 kx) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (sin.f64 kx) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (.f64 (sin.f64 kx) l) (/.f64 #s(literal 2 binary64) Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (sin.f64 kx) (.f64 (sin.f64 kx) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (sin.f64 ky) (.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (sin.f64 ky)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (sin.f64 kx) (.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (sin.f64 kx)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 (.f64 l #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(fma.f64 l (.f64 (/.f64 #s(literal 2 binary64) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 l (.f64 (/.f64 #s(literal 2 binary64) Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 l Om) l) (/.f64 #s(literal 2 binary64) Om)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 l Om) l) (/.f64 #s(literal 2 binary64) Om)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l Om) (.f64 #s(literal 2 binary64) (sin.f64 kx))) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 ky) l) (/.f64 #s(literal 2 binary64) Om)) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 #s(literal -1/2 binary64) (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om))))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky ky)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))

eval184.0ms (1.3%)

Memory: 32.7MiB live, 184.0MiB allocated
Compiler: Compiled 46 391 to 5 336 computations (88.5% saved)

prune214.0ms (1.6%)

Memory

-17.6MiB live, 225.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	906	9	915
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	907	9	916

Accuracy

100.0%

Counts

916 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	90.4%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
▶	70.7%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))))
▶	55.7%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
	49.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (.f64 (.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
	79.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)))) #s(literal -1/2 binary64))))))
▶	85.0%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
	61.6%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
▶	56.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

Compiler

Compiled 524 to 346 computations (34% saved)

simplify194.0ms (1.4%)

Memory

26.1MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1664	(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
cost-diff	320	(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
cost-diff	448	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

8 776×	`lower-fma.f32`
8 766×	`lower-fma.f64`
6 472×	`lower-*.f32`
6 442×	`lower-*.f64`
2 698×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1182
0	148	1126
1	264	1093
2	625	1087
3	2405	1053
4	6691	1053
0	8402	1008

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
(*.f64 (/.f64 l Om) #s(literal 4 binary64))
(/.f64 l Om)
l
Om
#s(literal 4 binary64)
(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
#s(literal 1/2 binary64)
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (.f64 l l))
#s(literal 4 binary64)
(*.f64 l l)
l
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
#s(literal 2 binary64)
(*.f64 Om Om)
Om
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))))
(*.f64 ky ky)
ky
(.f64 l (/.f64 l (.f64 Om Om)))
l
(/.f64 l (*.f64 Om Om))
(*.f64 Om Om)
Om
(.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (*.f64 Om Om))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
(*.f64 #s(literal 2 binary64) l)
l
Om
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(*.f64 ky ky)
ky

Outputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 1 binary64))
(*.f64 (/.f64 l Om) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 l Om))
(/.f64 l Om)
l
Om
#s(literal 4 binary64)
(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1 binary64))) (/.f64 l Om))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (.f64 l l))
(.f64 (.f64 l l) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 l l)
l
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
#s(literal 2 binary64)
(*.f64 Om Om)
Om
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64))))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))
(fma.f64 (.f64 l (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l)) (/.f64 #s(literal 4 binary64) (*.f64 Om Om)) #s(literal 1 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))))
(.f64 (.f64 (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) l) (/.f64 l (*.f64 Om Om)))
(*.f64 ky ky)
ky
(.f64 l (/.f64 l (.f64 Om Om)))
(.f64 (/.f64 l (.f64 Om Om)) l)
l
(/.f64 l (*.f64 Om Om))
(*.f64 Om Om)
Om
(.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (*.f64 Om Om))))
(.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) l) (/.f64 l (*.f64 Om Om)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))
(sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
(fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
(*.f64 (/.f64 l Om) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
l
Om
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))
(+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(*.f64 ky ky)
ky

localize453.0ms (3.3%)

Memory

2.2MiB live, 674.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.6692221637674304	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
accuracy	3.5176847221905896	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
accuracy	8.903618225949042	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))
accuracy	47.29956989191644	#s(approx (pow (sin ky) 2) (*.f64 ky ky))
accuracy	8.903618225949042	(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))
accuracy	11.132689002257644	(.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (*.f64 Om Om))))
accuracy	15.76952234288099	(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))))
accuracy	20.39143067843364	#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))
accuracy	0.34994125976844204	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	4.106203218002898	(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
accuracy	9.279869470813393	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
accuracy	10.281227119960086	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
accuracy	0.00390625	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
accuracy	28.531648384877283	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))
accuracy	3.762250455200107	(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
accuracy	8.300704065860629	(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
accuracy	8.903618225949042	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
accuracy	15.519325082150912	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

213.0ms	102×	2	valid
87.0ms	72×	1	valid
48.0ms	82×	0	valid

Compiler

Compiled 978 to 63 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-cos: 82.0ms (29.3% of total)

ival-mult: 43.0ms (15.4% of total)

ival-sub: 36.0ms (12.9% of total)

adjust: 29.0ms (10.4% of total)

ival-div: 23.0ms (8.2% of total)

ival-add: 22.0ms (7.9% of total)

ival-sin: 16.0ms (5.7% of total)

ival-sqrt: 15.0ms (5.4% of total)

ival-pow2: 14.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series392.0ms (2.9%)

Memory

-8.6MiB live, 473.9MiB allocated

Counts

30 → 1 140

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))) #<representation binary64>) () ())
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#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #<representation binary64>) () ())
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#s(alt (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (patch (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (patch (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) (patch (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))) (patch (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation binary64>) () ())
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#s(alt (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) (patch (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	kx	@	inf	((/ 1 2) (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (pow (/ (* 2 l) Om) 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1) (/ (pow (sin ky) 2) (* Om Om)) (pow (sin ky) 2) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sin ky) 2) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
27.0ms	ky	@	-inf	((/ 1 2) (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (pow (/ (* 2 l) Om) 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1) (/ (pow (sin ky) 2) (* Om Om)) (pow (sin ky) 2) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sin ky) 2) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
23.0ms	kx	@	0	((/ 1 2) (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (pow (/ (* 2 l) Om) 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1) (/ (pow (sin ky) 2) (* Om Om)) (pow (sin ky) 2) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sin ky) 2) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
16.0ms	Om	@	0	((/ 1 2) (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (pow (/ (* 2 l) Om) 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1) (/ (pow (sin ky) 2) (* Om Om)) (pow (sin ky) 2) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sin ky) 2) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
14.0ms	ky	@	inf	((/ 1 2) (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (pow (/ (* 2 l) Om) 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1) (/ (pow (sin ky) 2) (* Om Om)) (pow (sin ky) 2) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sin ky) 2) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))

simplify644.0ms (4.7%)

Memory

-160.7MiB live, 596.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 718×	`lower-fma.f64`
9 718×	`lower-fma.f32`
7 322×	`lower-*.f64`
7 322×	`lower-*.f32`
6 396×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1574	48164
1	5332	46952
0	8831	44826

Stop Event

1×	iter limit
1×	node limit

Counts

1 140 → 1 140

Calls

Call 1

Inputs
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))
(* 1/2 (cos (* 2 ky)))
(+ (* -1 (pow kx 2)) (* 1/2 (cos (* 2 ky))))
(+ (* 1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))
(+ (* 1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow kx 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
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(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
(+ (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2)))) (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2)))) (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow kx 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
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(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
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(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
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(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))
(- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))
(- (+ 1/2 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (cos (* 2 ky))))
(/ (* l (- 1/2 (* 1/2 (cos (* 2 ky))))) Om)
(+ (/ (* l (- 1/2 (* 1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 ky))))) Om))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 ky))))) Om))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
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(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
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(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
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(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))) (* (pow kx 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
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(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
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1/2
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1/2
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1/2
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1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/4 (/ 1 (* l (sin ky)))))))
(* 1/2 (/ Om (* l (sin ky))))
(* Om (+ (* -1/16 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/2 (/ 1 (* l (sin ky))))))
(* Om (+ (* (pow Om 2) (- (* 3/256 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow l 7) (pow (sin ky) 7)))) (* 3/256 (/ 1 (* (pow l 5) (pow (sin ky) 5)))))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
1
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
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1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
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1
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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1
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1
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(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
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1
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1
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1
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
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1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
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(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx))))
(- (+ 1/2 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (cos (* 2 kx))))
(- (+ 1/2 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (cos (* 2 kx))))
(/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(/ (pow ky 2) (pow Om 2))
(* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow Om 2))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/315 (/ (pow ky 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
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(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(- (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))) 1/2)
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
(* (pow ky 2) (+ (/ (* (pow l 2) (pow (sin kx) 2)) (* (pow Om 2) (pow ky 2))) (/ (pow l 2) (pow Om 2))))
(* (pow ky 2) (+ (/ (* (pow l 2) (pow (sin kx) 2)) (* (pow Om 2) (pow ky 2))) (/ (pow l 2) (pow Om 2))))
(* (pow ky 2) (+ (/ (* (pow l 2) (pow (sin kx) 2)) (* (pow Om 2) (pow ky 2))) (/ (pow l 2) (pow Om 2))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))
(- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))
(- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))
(- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))
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(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
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1
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1
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1
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1
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(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
1
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1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -2 (/ (pow (sin ky) 2) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (pow (sin ky) 2) (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (sin ky) 6) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))))))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
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(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6))))) (* -1 (/ (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
1
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky))))))
(+ 1/2 (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky)))))))
(* 1/2 (/ Om (* l (sin ky))))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))) l)
(/ (+ (* -1 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky))))) l)
(/ (+ (* -1 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* (sin ky) (+ (* 1/256 (/ (pow Om 8) (pow (sin ky) 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (pow (sin ky) 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))))) l)
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l)
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky)))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky))))) l)))
(* -1/2 (/ Om (* l (sin ky))))
(* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))) l))
(* -1 (/ (+ (* -1 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky))))) l))
(* -1 (/ (+ (* -1 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* (sin ky) (+ (* 1/256 (/ (pow Om 8) (pow (sin ky) 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (pow (sin ky) 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))))) l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
(* 4 (/ (pow l 2) (pow Om 2)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* -2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(* -2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* -2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l))

Outputs
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
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1/2
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(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) l) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 3 binary64)))))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sin.f64 ky) l))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/4 (/ 1 (* l (sin ky)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 l #s(literal 5 binary64)))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l)))) (.f64 Om Om) (/.f64 #s(literal 1/4 binary64) (*.f64 (sin.f64 ky) l))) Om #s(literal 1/2 binary64))
(* 1/2 (/ Om (* l (sin ky))))
(.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/2 binary64))
(* Om (+ (* -1/16 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/2 (/ 1 (* l (sin ky))))))
(.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 ky) l))) Om)
(* Om (+ (* (pow Om 2) (- (* 3/256 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
(.f64 (fma.f64 (fma.f64 #s(literal 3/256 binary64) (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 l #s(literal 5 binary64)))) (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l)))) (.f64 Om Om) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 ky) l))) Om)
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow l 7) (pow (sin ky) 7)))) (* 3/256 (/ 1 (* (pow l 5) (pow (sin ky) 5)))))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 7 binary64)) (pow.f64 l #s(literal 7 binary64)))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 l #s(literal 5 binary64))))) (.f64 Om Om) (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l)))) (.f64 Om Om) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 ky) l))) Om)
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) l) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 3 binary64)))))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 5 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 Om Om)) (.f64 Om Om))
(/ (pow (sin ky) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin ky) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin ky) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin ky) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky))))))
(fma.f64 (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l))) #s(literal -1/32 binary64) (fma.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky)))))))
(fma.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -3/256 binary64)) (sin.f64 ky)) (.f64 (pow.f64 l #s(literal 5 binary64)) Om)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l))) #s(literal -1/32 binary64) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(* 1/2 (/ Om (* l (sin ky))))
(.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/2 binary64))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))) l)
(/.f64 (fma.f64 (/.f64 Om (sin.f64 ky)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 Om Om) Om)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 l l)))) l)
(/ (+ (* -1 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky))))) l)
(/.f64 (fma.f64 (neg.f64 (sin.f64 ky)) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (/.f64 Om (sin.f64 ky)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 Om Om) Om)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 l l))))) l)
(/ (+ (* -1 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* (sin ky) (+ (* 1/256 (/ (pow Om 8) (pow (sin ky) 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (pow (sin ky) 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))))) l)
(/.f64 (fma.f64 (neg.f64 (sin.f64 ky)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -3/256 binary64)) (.f64 Om Om)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om)) (fma.f64 (neg.f64 (sin.f64 ky)) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (/.f64 Om (sin.f64 ky)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 Om Om) Om)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l l)))))) l)
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 5 binary64)) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (.f64 (.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
(+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 Om Om) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) #s(literal -3/64 binary64)) (.f64 (.f64 l l) l))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) #s(literal -1/32 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 5 binary64)) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
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(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))))))))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))))))) l)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (*.f64 l l) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))))) l)
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))))) l)
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) l)
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
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(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
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1/2
#s(literal 1/2 binary64)
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* -2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
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(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (*.f64 l l) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(* -2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64)))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))))))
(* -2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64)))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om) #s(literal 2 binary64))))))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l))
(/.f64 (fma.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* Om (pow l 6))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) l))
(/.f64 (fma.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (neg.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om))) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om)))) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (neg.f64 l))

rewrite209.0ms (1.5%)

Memory

20.9MiB live, 411.8MiB allocated

Rules

4 458×	`lower-fma.f32`
4 448×	`lower-fma.f64`
4 236×	`lower-*.f32`
4 208×	`lower-*.f64`
2 364×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	748
0	144	717
1	544	622
2	4600	612
0	8309	592

Stop Event

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

Counts

30 → 795

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (*.f64 Om Om))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))

Outputs
#s(literal 1/2 binary64)
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 #s(literal 4 binary64) l)) l (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64))))) #s(literal -1 binary64)))

eval385.0ms (2.8%)

Memory: 9.9MiB live, 626.6MiB allocated
Compiler: Compiled 91 390 to 7 574 computations (91.7% saved)

prune252.0ms (1.8%)

Memory

14.0MiB live, 532.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 924	13	1 937
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	1 931	15	1 946

Accuracy

100.0%

Counts

1 946 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	89.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
	72.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
	60.4%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
▶	90.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
	38.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))
▶	46.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
	79.2%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
▶	61.6%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
▶	69.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
	63.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
▶	47.9%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	46.9%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
✓	56.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
	83.9%	#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 829 to 542 computations (34.6% saved)

simplify168.0ms (1.2%)

Memory

7.5MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 ky #s(literal 2 binary64))
cost-diff	128	(*.f64 kx #s(literal 2 binary64))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
cost-diff	128	(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
cost-diff	320	(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	384	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
cost-diff	192	(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
cost-diff	320	(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
cost-diff	384	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))

Rules

10 334×	`lower-fma.f32`
10 322×	`lower-fma.f64`
5 904×	`lower-*.f32`
5 878×	`lower-*.f64`
3 862×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1013
0	156	984
1	292	954
2	661	934
3	2526	906
0	8418	859

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
(*.f64 (/.f64 l Om) #s(literal 4 binary64))
(/.f64 l Om)
l
Om
#s(literal 4 binary64)
(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 Om (*.f64 (sin.f64 ky) l))
Om
(*.f64 (sin.f64 ky) l)
(sin.f64 ky)
ky
l
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(*.f64 (/.f64 l Om) #s(literal 2 binary64))
(/.f64 l Om)
l
Om
#s(literal 2 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))
(neg.f64 (*.f64 l l))
(*.f64 l l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(*.f64 kx #s(literal 2 binary64))
kx
#s(literal 2 binary64)
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(*.f64 ky #s(literal 2 binary64))
ky
(*.f64 Om Om)
Om

Outputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64)) l l) (.f64 #s(literal 4 binary64) (/.f64 l (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64)) l l) (.f64 #s(literal 4 binary64) (/.f64 l (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64)) l l) (.f64 #s(literal 4 binary64) (/.f64 l (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64)) l l) (.f64 #s(literal 4 binary64) (/.f64 l (*.f64 Om Om))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64)) l l) (.f64 #s(literal 4 binary64) (/.f64 l (*.f64 Om Om))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64)) l l) (.f64 #s(literal 4 binary64) (/.f64 l (*.f64 Om Om))) #s(literal 1 binary64))
(*.f64 (/.f64 l Om) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 l Om))
(/.f64 l Om)
l
Om
#s(literal 4 binary64)
(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(*.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 l Om))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/2 binary64))
(/.f64 Om (*.f64 (sin.f64 ky) l))
Om
(*.f64 (sin.f64 ky) l)
(sin.f64 ky)
ky
l
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l (*.f64 Om Om))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l (*.f64 Om Om))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l (*.f64 Om Om))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l (*.f64 Om Om))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l (*.f64 Om Om))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l (*.f64 Om Om))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64)))
(*.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) (/.f64 l Om))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(*.f64 (/.f64 l Om) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 l Om))
(/.f64 l Om)
l
Om
#s(literal 2 binary64)
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 Om Om)) l) l #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 Om Om)) l) l #s(literal 1 binary64)))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 Om Om)) l) l #s(literal 1 binary64))
(neg.f64 (*.f64 l l))
(*.f64 (neg.f64 l) l)
(*.f64 l l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 Om Om))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))
(*.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))
(+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx)))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(cos.f64 (+.f64 kx kx))
(*.f64 kx #s(literal 2 binary64))
(+.f64 kx kx)
kx
#s(literal 2 binary64)
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(cos.f64 (+.f64 ky ky))
(*.f64 ky #s(literal 2 binary64))
(+.f64 ky ky)
ky
(*.f64 Om Om)
Om

localize509.0ms (3.7%)

Memory

-11.1MiB live, 796.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.1191439422524	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om))
accuracy	8.465276750939918	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
accuracy	10.371087864760534	(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))
accuracy	30.05632669026278	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64)))
accuracy	7.512710893043678	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	8.368450836557368	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	9.631991524293056	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64)))
accuracy	15.519325082150912	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
accuracy	0.2109375	(/.f64 Om (*.f64 (sin.f64 ky) l))
accuracy	0.2136861411564921	(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0.29364041049412754	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	33.38720885953403	#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.00390625	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
accuracy	24.925254677788992	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))
accuracy	3.762250455200107	(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
accuracy	8.300704065860629	(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
accuracy	8.903618225949042	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
accuracy	15.519325082150912	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

214.0ms	108×	2	valid
121.0ms	66×	1	valid
66.0ms	82×	0	valid

Compiler

Compiled 870 to 84 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-cos: 98.0ms (29% of total)

ival-mult: 83.0ms (24.6% of total)

adjust: 37.0ms (11% of total)

ival-add: 28.0ms (8.3% of total)

ival-div: 27.0ms (8% of total)

ival-sqrt: 24.0ms (7.1% of total)

ival-sin: 16.0ms (4.7% of total)

ival-pow2: 11.0ms (3.3% of total)

ival-sub: 9.0ms (2.7% of total)

ival-neg: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series210.0ms (1.5%)

Memory

29.1MiB live, 412.7MiB allocated

Counts

26 → 948

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (patch (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (patch (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))) (patch (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)) (patch #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (patch (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 kx #s(literal 2 binary64)) (patch (.f64 kx #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 ky #s(literal 2 binary64)) (patch (.f64 ky #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (patch (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #<representation binary64>) () ())
#s(alt (/.f64 Om (.f64 (sin.f64 ky) l)) (patch (/.f64 Om (.f64 (sin.f64 ky) l)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos (* 2 ky))) (taylor 0 kx) (#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (patch (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow kx 2)) (* 1/2 (cos (* 2 ky)))) (taylor 0 kx) (#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (patch (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1))) (taylor 0 kx) (#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (patch (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1))) (taylor 0 kx) (#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (patch (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (* 2 ky)))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (patch (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky)))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (patch (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky)))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (patch (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (cos (* 2 ky)))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (patch (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor -inf kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om) (taylor -inf l) (#s(alt (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (patch (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #<representation binary64>) () ())) ())
#s(alt (/ Om (* l (sin ky))) (taylor -inf l) (#s(alt (/.f64 Om (.f64 (sin.f64 ky) l)) (patch (/.f64 Om (.f64 (sin.f64 ky) l)) #<representation binary64>) () ())) ())
#s(alt (/ Om (* l (sin ky))) (taylor -inf l) (#s(alt (/.f64 Om (.f64 (sin.f64 ky) l)) (patch (/.f64 Om (.f64 (sin.f64 ky) l)) #<representation binary64>) () ())) ())
#s(alt (/ Om (* l (sin ky))) (taylor -inf l) (#s(alt (/.f64 Om (.f64 (sin.f64 ky) l)) (patch (/.f64 Om (.f64 (sin.f64 ky) l)) #<representation binary64>) () ())) ())
#s(alt (/ Om (* l (sin ky))) (taylor -inf l) (#s(alt (/.f64 Om (.f64 (sin.f64 ky) l)) (patch (/.f64 Om (.f64 (sin.f64 ky) l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf l) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	Om	@	inf	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* kx 2) (* ky 2) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ Om (* (sin ky) l)) (+ (* -1/2 (cos (+ kx kx))) 1/2) (sqrt (/ 1 (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om)))
13.0ms	kx	@	inf	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* kx 2) (* ky 2) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ Om (* (sin ky) l)) (+ (* -1/2 (cos (+ kx kx))) 1/2) (sqrt (/ 1 (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om)))
11.0ms	ky	@	0	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* kx 2) (* ky 2) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ Om (* (sin ky) l)) (+ (* -1/2 (cos (+ kx kx))) 1/2) (sqrt (/ 1 (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om)))
11.0ms	Om	@	0	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* kx 2) (* ky 2) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ Om (* (sin ky) l)) (+ (* -1/2 (cos (+ kx kx))) 1/2) (sqrt (/ 1 (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om)))
10.0ms	kx	@	-inf	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* kx 2) (* ky 2) (- 1/2 (* 1/2 (cos (+ kx kx)))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ Om (* (sin ky) l)) (+ (* -1/2 (cos (+ kx kx))) 1/2) (sqrt (/ 1 (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om)))

simplify320.0ms (2.3%)

Memory

-36.1MiB live, 375.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 940×	`lower-*.f64`
7 940×	`lower-*.f32`
5 700×	`lower-fma.f64`
5 700×	`lower-fma.f32`
3 178×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1749	41121
1	5864	40246
0	8058	38483

Stop Event

1×	iter limit
1×	node limit

Counts

948 → 948

Calls

Call 1

Inputs
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))
(* 1/2 (cos (* 2 ky)))
(+ (* -1 (pow kx 2)) (* 1/2 (cos (* 2 ky))))
(+ (* 1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))
(+ (* 1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))
(- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))
(- (+ 1/2 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (cos (* 2 ky))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow kx 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
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(* 2 (/ (* (pow kx 2) l) Om))
(* (pow kx 2) (+ (* -2/3 (/ (* (pow kx 2) l) Om)) (* 2 (/ l Om))))
(* (pow kx 2) (+ (* 2 (/ l Om)) (* (pow kx 2) (+ (* -2/3 (/ l Om)) (* 4/45 (/ (* (pow kx 2) l) Om))))))
(* (pow kx 2) (+ (* 2 (/ l Om)) (* (pow kx 2) (+ (* -2/3 (/ l Om)) (* (pow kx 2) (+ (* -2/315 (/ (* (pow kx 2) l) Om)) (* 4/45 (/ l Om))))))))
1
(+ 1 (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
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(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))) (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* 1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))) (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -2/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 1/3 (/ (pow l 2) (pow Om 2)))))))))
(- 1 (* 1/2 (+ 1 (cos (* 2 ky)))))
(- (+ 1 (pow kx 2)) (* 1/2 (+ 1 (cos (* 2 ky)))))
(- (+ 1 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (+ 1 (cos (* 2 ky)))))
(- (+ 1 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (+ 1 (cos (* 2 ky)))))
(* 2 kx)
(* 2 kx)
(* 2 kx)
(* 2 kx)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
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1
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(* 2 kx)
(* 2 kx)
(* 2 kx)
(* 2 kx)
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(/ (* l (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) Om)
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/4 (/ 1 (* l (sin ky)))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1 (/ (* (pow l 2) (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1 (/ (* (pow l 2) (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
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1
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
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(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
1
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
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(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
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(* 1/2 (cos (* 2 kx)))
(+ (* -1 (pow ky 2)) (* 1/2 (cos (* 2 kx))))
(+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))
(+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx))))
(- (+ 1/2 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (cos (* 2 kx))))
(- (+ 1/2 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (cos (* 2 kx))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
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1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(* 1/4 (/ Om (* ky l)))
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(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* 1/24 (/ (* Om ky) l))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))))) ky)
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
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(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2))))
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(- 1 (* 1/2 (+ 1 (cos (* 2 kx)))))
(- (+ 1 (pow ky 2)) (* 1/2 (+ 1 (cos (* 2 kx)))))
(- (+ 1 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (+ 1 (cos (* 2 kx)))))
(- (+ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (+ 1 (cos (* 2 kx)))))
(* 2 ky)
(* 2 ky)
(* 2 ky)
(* 2 ky)
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
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(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
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(/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om))
(/ Om (* ky l))
(/ (+ (* 1/6 (/ (* Om (pow ky 2)) l)) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
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(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1 (/ (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6))))) (* -1 (/ (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow (sin ky) 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow (sin ky) 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow (sin ky) 2) (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (sin ky) 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))))))))
(* 1/4 (/ Om (* l (sin ky))))
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6))))) (* -1 (/ (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) (pow l 3))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky))))))
(+ 1/2 (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky)))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l)
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky)))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky))))) l)))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* -2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))

Outputs
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
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1/2
#s(literal 1/2 binary64)
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(fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 l l))) #s(literal -1/32 binary64))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 l l))) #s(literal -1/32 binary64))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sin.f64 ky) l))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/4 (/ 1 (* l (sin ky)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 l #s(literal 5 binary64)))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l)))) (.f64 Om Om) (/.f64 #s(literal 1/4 binary64) (*.f64 (sin.f64 ky) l))) Om #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (neg.f64 (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (neg.f64 (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (neg.f64 (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) #s(literal 1/2 binary64))) Om)
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/16 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) #s(literal 1/2 binary64))) Om)
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 7 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (pow.f64 l #s(literal 5 binary64))) #s(literal 3/256 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/16 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) #s(literal 1/2 binary64))) Om)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
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(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
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(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
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(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
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(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))) l)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l)
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
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(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
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(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
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(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
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(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 2 (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(.f64 (.f64 l (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) Om)) #s(literal 2 binary64))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) #s(literal 4 binary64)) (.f64 l l) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) l)) #s(literal 1/32 binary64))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 Om Om) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) #s(literal -3/64 binary64)) l)) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/32 binary64))) (neg.f64 l))) l))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) l))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* -2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(.f64 (neg.f64 l) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (neg.f64 l))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))) l))

rewrite181.0ms (1.3%)

Memory

26.4MiB live, 254.2MiB allocated

Rules

4 688×	`lower-fma.f32`
4 676×	`lower-fma.f64`
4 260×	`lower-*.f32`
4 236×	`lower-*.f64`
1 956×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	685
0	150	663
1	586	544
2	5110	532
0	8253	518

Stop Event

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

Counts

26 → 795

Calls

Call 1

Inputs
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
(*.f64 kx #s(literal 2 binary64))
(*.f64 ky #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))
(.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (*.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (*.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (*.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (*.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (*.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) l) l) (*.f64 Om Om)) (+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (*.f64 #s(literal 4 binary64) l) l) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (*.f64 #s(literal 4 binary64) l) l) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (*.f64 #s(literal 4 binary64) l) l) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (*.f64 #s(literal 4 binary64) l) l) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (.f64 #s(literal 4 binary64) l) l) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (*.f64 #s(literal 4 binary64) l) l))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (*.f64 #s(literal 4 binary64) l) l)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (.f64 Om Om)) (*.f64 (neg.f64 l) l) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) Om) (/.f64 #s(literal 1 binary64) Om))
(.f64 (/.f64 #s(literal 1 binary64) Om) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) Om))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)))
(.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (*.f64 Om Om)))
(pow.f64 (/.f64 Om (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) Om)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 Om Om) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 Om Om) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 Om Om))) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 Om Om))) (fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 Om Om))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (.f64 Om Om))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om))))
(/.f64 (-.f64 (pow.f64 Om #s(literal -6 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) Om)) (neg.f64 Om))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (.f64 (neg.f64 Om) Om)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (.f64 Om Om)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 Om Om)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 Om Om)) (.f64 (.f64 Om Om) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))))) (.f64 (.f64 Om Om) (*.f64 Om Om)))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) Om) Om)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) (.f64 (.f64 Om Om) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))) (.f64 (.f64 Om Om) (fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (.f64 (neg.f64 Om) Om))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 Om Om) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (.f64 Om Om))
(/.f64 #s(literal 1 binary64) (/.f64 Om (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 Om Om) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (.f64 Om Om)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (.f64 (neg.f64 Om) Om)))
(fma.f64 (pow.f64 (pow.f64 Om #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 Om #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (*.f64 Om Om))))
(fma.f64 (/.f64 #s(literal 1 binary64) Om) (/.f64 #s(literal 1 binary64) Om) (neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (*.f64 Om Om))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 Om Om) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 kx kx) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 kx kx) #s(literal 1/2 binary64))))))) (.f64 Om Om))))

eval352.0ms (2.6%)

Memory: -2.1MiB live, 499.4MiB allocated
Compiler: Compiled 77 073 to 7 125 computations (90.8% saved)

prune296.0ms (2.2%)

Memory

-2.0MiB live, 484.9MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1 728	15	1 743
Fresh	5	4	9
Picked	3	2	5
Done	0	1	1
Total	1 736	22	1 758

Accuracy

100.0%

Counts

1 758 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	72.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
▶	60.4%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
	89.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
	69.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
▶	90.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
	79.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
	38.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
	46.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))))
▶	46.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	61.6%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
	75.4%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
✓	47.9%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	46.9%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
	24.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
▶	51.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	47.4%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64))))))
	51.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
	4.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
	47.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
✓	56.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
▶	78.4%	#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 098 to 709 computations (35.4% saved)

simplify155.0ms (1.1%)

Memory

25.7MiB live, 211.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	128	(*.f64 ky #s(literal 2 binary64))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))
cost-diff	192	(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
cost-diff	128	(*.f64 ky #s(literal 2 binary64))
cost-diff	128	(.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	192	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))
cost-diff	0	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff	128	(*.f64 kx #s(literal 2 binary64))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))
cost-diff	384	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))

Rules

9 328×	`lower-fma.f32`
9 316×	`lower-fma.f64`
6 238×	`lower-*.f32`
6 202×	`lower-*.f64`
3 108×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1678
0	191	1680
1	391	1650
2	907	1586
3	3006	1579
4	7791	1579
0	8206	1507

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 l Om) #s(literal 4 binary64))
(/.f64 l Om)
l
Om
#s(literal 4 binary64)
(.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(*.f64 kx #s(literal 2 binary64))
kx
#s(literal 2 binary64)
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(*.f64 ky #s(literal 2 binary64))
ky
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l)))
(/.f64 Om (*.f64 ky l))
Om
(*.f64 ky l)
ky
l
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))))
(*.f64 ky ky)
ky
(.f64 l (/.f64 l (.f64 Om Om)))
l
(/.f64 l (*.f64 Om Om))
(*.f64 Om Om)
Om
#s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(.f64 (.f64 kx l) (*.f64 kx l))
(*.f64 kx l)
kx
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))
(neg.f64 (*.f64 l l))
(*.f64 l l)
l
(/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om))
#s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64))
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(*.f64 ky #s(literal 2 binary64))
ky
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 Om Om)
Om
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(*.f64 l l)
l
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(*.f64 ky #s(literal 2 binary64))
ky
#s(literal 2 binary64)
(*.f64 Om Om)
Om
#s(literal 4 binary64)
(sqrt.f64 #s(literal 1/2 binary64))

Outputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 4 binary64)) #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 l Om) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 l Om))
(/.f64 l Om)
l
Om
#s(literal 4 binary64)
(.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) (/.f64 l Om))
#s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))
(.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64))))
(+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx)))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(cos.f64 (+.f64 kx kx))
(*.f64 kx #s(literal 2 binary64))
(+.f64 kx kx)
kx
#s(literal 2 binary64)
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(cos.f64 (+.f64 ky ky))
(*.f64 ky #s(literal 2 binary64))
(+.f64 ky ky)
ky
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/2 binary64))
#s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l)))
(/.f64 Om (*.f64 ky l))
Om
(*.f64 ky l)
ky
l
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))) #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))))
(fma.f64 (.f64 l l) (.f64 ky (/.f64 ky (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l))))
(*.f64 ky ky)
ky
(.f64 l (/.f64 l (.f64 Om Om)))
(.f64 (/.f64 l (.f64 Om Om)) l)
l
(/.f64 l (*.f64 Om Om))
(*.f64 Om Om)
Om
#s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))
#s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l)))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(.f64 (.f64 kx (/.f64 kx (.f64 Om Om))) (.f64 l l))
(.f64 (.f64 kx l) (*.f64 kx l))
(.f64 (.f64 (*.f64 l l) kx) kx)
(*.f64 kx l)
kx
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (/.f64 (.f64 l l) (.f64 (neg.f64 Om) Om)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (/.f64 (.f64 l l) (.f64 (neg.f64 Om) Om)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (/.f64 (.f64 l l) (.f64 (neg.f64 Om) Om)) #s(literal 1 binary64))
(neg.f64 (*.f64 l l))
(*.f64 (neg.f64 l) l)
(*.f64 l l)
l
(/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om))
(/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))
#s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1 binary64))
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(cos.f64 (+.f64 ky ky))
(*.f64 ky #s(literal 2 binary64))
(+.f64 ky ky)
ky
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 Om Om)
Om
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (.f64 (/.f64 l (*.f64 Om Om)) l))
(*.f64 l l)
l
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 Om Om))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 ky #s(literal 2 binary64)))
(cos.f64 (+.f64 ky ky))
(*.f64 ky #s(literal 2 binary64))
(+.f64 ky ky)
ky
#s(literal 2 binary64)
(*.f64 Om Om)
Om
#s(literal 4 binary64)
(sqrt.f64 #s(literal 1/2 binary64))

localize416.0ms (3%)

Memory

2.4MiB live, 717.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.106203218002898	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))
accuracy	8.420688964708154	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))
accuracy	9.279869470813393	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy	15.555168572962478	(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
accuracy	8.664610510003975	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
accuracy	10.371087864760534	(fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))
accuracy	16.865666172264493	#s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
accuracy	30.05632669026278	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)))
accuracy	9.172699969907528	#s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))
accuracy	13.704507063689807	(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
accuracy	15.76952234288099	(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))))
accuracy	20.39143067843364	#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))
accuracy	0.29364041049412754	#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	4.84274890301502	(/.f64 Om (*.f64 ky l))
accuracy	33.38720885953403	#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	40.86140538220479	#s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l)))
accuracy	0.6692221637674304	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
accuracy	3.762250455200107	(.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
accuracy	8.465276750939918	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	8.903618225949042	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))

Samples

166.0ms	198×	0	valid
149.0ms	40×	2	valid
27.0ms	18×	1	valid

Compiler

Compiled 1 091 to 103 computations (90.6% saved)

Precisions

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

ival-cos: 65.0ms (22.9% of total)

ival-mult: 61.0ms (21.5% of total)

ival-div: 61.0ms (21.5% of total)

ival-add: 24.0ms (8.5% of total)

ival-sqrt: 22.0ms (7.8% of total)

adjust: 16.0ms (5.6% of total)

ival-sin: 14.0ms (4.9% of total)

ival-sub: 10.0ms (3.5% of total)

ival-pow2: 8.0ms (2.8% of total)

ival-neg: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series370.0ms (2.7%)

Memory

11.4MiB live, 333.3MiB allocated

Counts

34 → 1 224

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 kx #s(literal 2 binary64)) (patch (.f64 kx #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (patch (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))))) (patch (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 ky #s(literal 2 binary64)) (patch (.f64 ky #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (patch #s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (patch (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) (patch #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #<representation binary64>) () ())
#s(alt (/.f64 Om (.f64 ky l)) (patch (/.f64 Om (.f64 ky l)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) (patch (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) (patch #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) (patch (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))) (taylor 0 kx) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/2 (+ 1 (cos (* 2 ky))))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (pow kx 2)) (* 1/2 (+ 1 (cos (* 2 ky))))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (+ 1 (cos (* 2 ky))))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (+ 1 (cos (* 2 ky))))) (taylor 0 kx) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 kx) (taylor 0 kx) (#s(alt (.f64 kx #s(literal 2 binary64)) (patch (.f64 kx #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 kx) (taylor 0 kx) (#s(alt (.f64 kx #s(literal 2 binary64)) (patch (.f64 kx #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 kx) (taylor 0 kx) (#s(alt (.f64 kx #s(literal 2 binary64)) (patch (.f64 kx #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 kx) (taylor 0 kx) (#s(alt (.f64 kx #s(literal 2 binary64)) (patch (.f64 kx #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (taylor 0 kx) (#s(alt (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (patch (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))) (taylor inf kx) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))) (taylor inf kx) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))) (taylor inf kx) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf kx) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf kx) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf kx) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf kx) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (taylor inf kx) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (taylor inf kx) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (taylor inf kx) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (taylor inf kx) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (taylor inf kx) (#s(alt (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) (patch (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (taylor inf kx) (#s(alt (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) (patch (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (taylor inf kx) (#s(alt (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) (patch (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (taylor inf kx) (#s(alt (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) (patch (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)) (taylor inf kx) (#s(alt #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) (patch #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)) (taylor inf kx) (#s(alt #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) (patch #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)) (taylor inf kx) (#s(alt #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) (patch #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)) (taylor inf kx) (#s(alt #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) (patch #s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf kx) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf kx) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf kx) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf kx) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (taylor inf kx) (#s(alt #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))) (taylor inf ky) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ Om (* l (sin ky))) (taylor inf ky) (#s(alt #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) (patch #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #<representation binary64>) () ())) ())
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#s(alt (/ Om (* ky l)) (taylor inf ky) (#s(alt (/.f64 Om (.f64 ky l)) (patch (/.f64 Om (.f64 ky l)) #<representation binary64>) () ())) ())
#s(alt (/ Om (* ky l)) (taylor inf ky) (#s(alt (/.f64 Om (.f64 ky l)) (patch (/.f64 Om (.f64 ky l)) #<representation binary64>) () ())) ())
#s(alt (/ Om (* ky l)) (taylor inf ky) (#s(alt (/.f64 Om (.f64 ky l)) (patch (/.f64 Om (.f64 ky l)) #<representation binary64>) () ())) ())
#s(alt (/ Om (* ky l)) (taylor inf ky) (#s(alt (/.f64 Om (.f64 ky l)) (patch (/.f64 Om (.f64 ky l)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf ky) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf ky) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))) (taylor inf ky) (#s(alt #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) (patch #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (taylor inf ky) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (* (pow ky 2) (+ (/ (* (pow l 2) (pow (sin kx) 2)) (* (pow Om 2) (pow ky 2))) (/ (pow l 2) (pow Om 2)))) (taylor inf ky) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (* (pow ky 2) (+ (/ (* (pow l 2) (pow (sin kx) 2)) (* (pow Om 2) (pow ky 2))) (/ (pow l 2) (pow Om 2)))) (taylor inf ky) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (* (pow ky 2) (+ (/ (* (pow l 2) (pow (sin kx) 2)) (* (pow Om 2) (pow ky 2))) (/ (pow l 2) (pow Om 2)))) (taylor inf ky) (#s(alt (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) (patch (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf ky) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf ky) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf ky) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))))) (taylor inf ky) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (taylor inf ky) (#s(alt #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (taylor inf ky) (#s(alt #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (taylor inf ky) (#s(alt #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (taylor inf ky) (#s(alt #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))) (patch #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2)))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2)))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2)))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) (patch (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) (patch (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) (patch (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) (patch (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))) l)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))) l)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))) l)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
81.0ms	l	@	0	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* (+ (cos (* kx 2)) (cos (* ky 2))) 1/2)) (* kx 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (- 1 (* (+ (cos (* ky 2)) 1) 1/2)) (* (+ (cos (* ky 2)) 1) 1/2) (* ky 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1) (- 1/2 (* (cos (* ky 2)) 1/2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))) (/ Om (* (sin ky) l)) (/ Om (* ky l)) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (/ (* (* kx l) (* kx l)) (* Om Om)) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) (sqrt (/ 1 (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1))) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om)))
24.0ms	ky	@	-inf	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* (+ (cos (* kx 2)) (cos (* ky 2))) 1/2)) (* kx 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (- 1 (* (+ (cos (* ky 2)) 1) 1/2)) (* (+ (cos (* ky 2)) 1) 1/2) (* ky 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1) (- 1/2 (* (cos (* ky 2)) 1/2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))) (/ Om (* (sin ky) l)) (/ Om (* ky l)) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (/ (* (* kx l) (* kx l)) (* Om Om)) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) (sqrt (/ 1 (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1))) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om)))
10.0ms	ky	@	inf	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* (+ (cos (* kx 2)) (cos (* ky 2))) 1/2)) (* kx 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (- 1 (* (+ (cos (* ky 2)) 1) 1/2)) (* (+ (cos (* ky 2)) 1) 1/2) (* ky 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1) (- 1/2 (* (cos (* ky 2)) 1/2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))) (/ Om (* (sin ky) l)) (/ Om (* ky l)) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (/ (* (* kx l) (* kx l)) (* Om Om)) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) (sqrt (/ 1 (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1))) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om)))
10.0ms	Om	@	0	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* (+ (cos (* kx 2)) (cos (* ky 2))) 1/2)) (* kx 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (- 1 (* (+ (cos (* ky 2)) 1) 1/2)) (* (+ (cos (* ky 2)) 1) 1/2) (* ky 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1) (- 1/2 (* (cos (* ky 2)) 1/2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))) (/ Om (* (sin ky) l)) (/ Om (* ky l)) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (/ (* (* kx l) (* kx l)) (* Om Om)) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) (sqrt (/ 1 (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1))) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om)))
9.0ms	l	@	inf	((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* (+ (cos (* kx 2)) (cos (* ky 2))) 1/2)) (* kx 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (- 1 (* (+ (cos (* ky 2)) 1) 1/2)) (* (+ (cos (* ky 2)) 1) 1/2) (* ky 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1) (- 1/2 (* (cos (* ky 2)) 1/2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))) (/ Om (* (sin ky) l)) (/ Om (* ky l)) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (/ (* (* kx l) (* kx l)) (* Om Om)) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) (sqrt (/ 1 (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1))) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om)))

simplify444.0ms (3.2%)

Memory

20.7MiB live, 372.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`lower-*.f64`
8 560×	`lower-*.f32`
6 298×	`lower-fma.f64`
6 298×	`lower-fma.f32`
3 522×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1896	51915
1	6400	51379
0	8218	49512

Stop Event

1×	iter limit
1×	node limit

Counts

1 224 → 1 224

Calls

Call 1

Inputs
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))
(- 1 (* 1/2 (+ 1 (cos (* 2 ky)))))
(- (+ 1 (pow kx 2)) (* 1/2 (+ 1 (cos (* 2 ky)))))
(- (+ 1 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (+ 1 (cos (* 2 ky)))))
(- (+ 1 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (+ 1 (cos (* 2 ky)))))
(* 2 kx)
(* 2 kx)
(* 2 kx)
(* 2 kx)
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow kx 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
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(/ (* l (- 1/2 (* 1/2 (cos (* 2 ky))))) Om)
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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))
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(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
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(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
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(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2)))) (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
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(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
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(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
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(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (neg (* -2 kx)))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/4 (/ 1 (* l (sin ky)))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1 (* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1 (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))))))))))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (pow Om 2)) (pow Om 2))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))))))))))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* -1 (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 5)))))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1 (/ (* (pow l 2) (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1 (/ (* (pow l 2) (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1 (/ (* (pow l 2) (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1 (/ (* (pow l 2) (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1 (/ (* (pow l 2) (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 64 (* (pow l 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
(- 1 (* 1/2 (+ 1 (cos (* 2 kx)))))
(- (+ 1 (pow ky 2)) (* 1/2 (+ 1 (cos (* 2 kx)))))
(- (+ 1 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (+ 1 (cos (* 2 kx)))))
(- (+ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (+ 1 (cos (* 2 kx)))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* 1/24 (/ (* Om ky) l))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))))) ky)
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
1
(+ 1 (* -1 (pow ky 2)))
(+ 1 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))
(* 2 ky)
(* 2 ky)
(* 2 ky)
(* 2 ky)
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))
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1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))
(/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (- 1/2 (* 1/2 (cos (* 2 kx))))) Om))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
(/ Om (* ky l))
(/ (+ (* 1/6 (/ (* Om (pow ky 2)) l)) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(+ (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
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1
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1
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1
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1
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(* 1/4 (/ Om (* l (sin ky))))
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(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
1
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(* (sqrt 1/2) (sqrt 2))
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(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6))))) (* -1 (/ (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))) (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
2
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(+ 2 (* (pow l 2) (+ (* -2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1 (/ (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
1
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(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1 (/ (* (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4)))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 64 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2) (pow Om 4)))) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2) (pow Om 4))))))))))
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky))))))
(+ 1/2 (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky)))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1 (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ 1 (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) (pow l 3))))))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) (pow l 3))))))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) l)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))) l)
(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky)))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky))))) l)))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1
(+ 1 (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1 (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ 1 (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(* -2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) l))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))) l))

Outputs
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
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(* 4 (/ (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 Om Om)) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sin.f64 ky) l))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/4 (/ 1 (* l (sin ky)))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/512 binary64) (.f64 Om Om)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 l #s(literal 5 binary64)))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l l) l)))) (.f64 Om Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/32 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/4 binary64))) Om #s(literal 1/2 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 l l)))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64))
(+ 1 (* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/2 binary64))) Om #s(literal 1 binary64))
(+ 1 (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -1/16 binary64))) (.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) #s(literal 1/2 binary64))) Om #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 l l))) #s(literal -1/32 binary64))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 l l))) #s(literal -1/32 binary64))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 l l))) #s(literal -1/32 binary64))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 l l))) #s(literal -1/32 binary64))) Om (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) Om (sqrt.f64 #s(literal 1/2 binary64)))
(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/4 binary64))) (.f64 Om Om) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) Om)
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/2 binary64))) Om)
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/2 binary64))) Om)
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 7 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (pow.f64 l #s(literal 5 binary64))) #s(literal 3/256 binary64))) (.f64 Om Om) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 l l) l)))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l) #s(literal 1/2 binary64))) Om)
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (fma.f64 (.f64 ky l) (.f64 ky l) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l))) (*.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (fma.f64 (.f64 ky l) (.f64 ky l) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l))) (*.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (fma.f64 (.f64 ky l) (.f64 ky l) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l))) (*.f64 Om Om))
(/ (+ (* (pow ky 2) (pow l 2)) (* (pow l 2) (pow (sin kx) 2))) (pow Om 2))
(/.f64 (fma.f64 (.f64 ky l) (.f64 ky l) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l))) (*.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 5)))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 5)))))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) (pow l 3))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64))
(+ 1 (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ 1 (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (fma.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 5 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (.f64 l l) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(+.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 l l)))) #s(literal -1/32 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) (pow l 3))))))
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(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
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(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) (pow l 3))))))
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(* 2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))) l)
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) l)
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))) l)
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l l))) #s(literal -1/32 binary64) (*.f64 (/.f64 Om (sin.f64 ky)) #s(literal 1/4 binary64))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (+ (* -1/64 (/ (pow Om 6) (pow (sin ky) 6))) (* 1/256 (/ (pow Om 6) (pow (sin ky) 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -3/256 binary64)) (sin.f64 ky)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 Om Om) Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l l))) #s(literal -1/32 binary64) (.f64 (/.f64 Om (sin.f64 ky)) #s(literal 1/4 binary64)))) l))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) l)) #s(literal 1/32 binary64))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 Om Om) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) #s(literal -3/64 binary64)) l)) #s(literal -1/2 binary64) (.f64 (.f64 (*.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/32 binary64))) l)) l))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) l))
(+ 1 (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) l)) #s(literal 1/32 binary64))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 Om Om) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))))) #s(literal -3/64 binary64)) l)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om Om))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l)) l))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) l)) #s(literal 1/32 binary64))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 Om Om) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))))) #s(literal -3/64 binary64)) l)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om Om))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) l)) l))
(* -2 (* (/ l Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))
(.f64 (neg.f64 l) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
(.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) Om) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
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(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(/ (* l (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))) Om)
(.f64 l (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) Om))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))) l)
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))) l)
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))) l))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))))) l)
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 (sin.f64 ky) l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(/ Om (* ky l))
(/.f64 Om (*.f64 ky l))
(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 4 binary64)) (*.f64 l l) #s(literal 1 binary64))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(* (pow l 2) (+ (/ (pow ky 2) (pow Om 2)) (/ (pow (sin kx) 2) (pow Om 2))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (/.f64 (.f64 ky ky) (.f64 Om Om))) (*.f64 l l))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
(/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))
(/.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l l)) (*.f64 Om Om))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))) l)))
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(* -1 (/ (* (pow l 2) (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
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(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* -1 (/ (- 1 (* 1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 ky))))) (pow Om 2))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))) l))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) l)
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))) l))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))) l)
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))) l))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) Om)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 (.f64 (.f64 Om Om) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) Om)) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 Om Om) Om) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))) l)

rewrite302.0ms (2.2%)

Memory

-4.4MiB live, 221.1MiB allocated

Rules

3 100×	`lower-*.f32`
3 064×	`lower-*.f64`
2 914×	`lower-fma.f32`
2 902×	`lower-fma.f64`
2 286×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1122
0	189	1107
1	819	941
0	6718	918

Stop Event

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

Counts

34 → 608

Calls

Call 1

Inputs
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 kx #s(literal 2 binary64))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 ky #s(literal 2 binary64))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
#s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l)))
(/.f64 Om (*.f64 ky l))
#s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64)))
(fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))))
(/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om))
#s(approx (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))
#s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64)))
#s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))
(.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) l) (/.f64 #s(literal 1 binary64) Om))
(.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) (/.f64 l Om))
(.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))
(.f64 l (/.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) Om))
(.f64 l (.f64 (/.f64 #s(literal 1 binary64) Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 l) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) (neg.f64 Om))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) (/.f64 Om l))
(/.f64 (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) (neg.f64 l)) (neg.f64 Om))
(/.f64 (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 Om l))
(/.f64 (neg.f64 (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) l)) (neg.f64 Om))
(/.f64 (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) l) Om)
(/.f64 #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) (/.f64 Om l))
(/.f64 #s(literal 1 binary64) (/.f64 Om (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) l)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 l (.f64 Om Om)) l)) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l)))
(*.f64 (/.f64 Om ky) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 ky l)) Om)
(.f64 (neg.f64 Om) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 ky) l)))
(.f64 #s(literal 1 binary64) (/.f64 Om (.f64 ky l)))
(.f64 Om (/.f64 #s(literal 1 binary64) (.f64 ky l)))
(pow.f64 (*.f64 ky (/.f64 l Om)) #s(literal -1 binary64))
(/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 ky l))
(/.f64 (neg.f64 (/.f64 Om ky)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 Om)) (neg.f64 (*.f64 (neg.f64 ky) l)))
(/.f64 (/.f64 Om ky) l)
(/.f64 (/.f64 Om l) ky)
(/.f64 (neg.f64 Om) (*.f64 (neg.f64 ky) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 ky (/.f64 l Om))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 Om ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky (/.f64 l Om)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 l Om)))
(/.f64 Om (*.f64 ky l))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) Om) (/.f64 (sin.f64 ky) Om))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) Om) (/.f64 #s(literal 1 binary64) Om))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 Om) Om)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 Om Om)))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (.f64 Om Om)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 Om Om)))
(pow.f64 (/.f64 (*.f64 Om Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 Om Om))) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 Om Om))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om))) (.f64 (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om))) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 Om Om)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om))) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (.f64 Om Om))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 Om Om)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) Om)) (neg.f64 Om))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 Om) Om)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 Om Om)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 Om Om)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (.f64 (.f64 Om Om) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (.f64 (.f64 Om Om) (.f64 Om Om)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) Om) Om)
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64))) (.f64 (*.f64 Om Om) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 Om Om) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 Om) Om))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 Om Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 Om Om))
(/.f64 #s(literal 1 binary64) (/.f64 Om (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 Om Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 Om Om)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 Om) Om)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (neg.f64 (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 Om Om)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 Om Om))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om Om)) (neg.f64 (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 Om Om)))))

eval433.0ms (3.2%)

Memory: 34.5MiB live, 453.3MiB allocated
Compiler: Compiled 91 070 to 7 945 computations (91.3% saved)

prune632.0ms (4.6%)

Memory

-51.8MiB live, 614.0MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 998	8	2 006
Fresh	0	14	14
Picked	4	1	5
Done	0	3	3
Total	2 002	26	2 028

Accuracy

100.0%

Counts

2 028 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	65.9%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	72.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
	89.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
	69.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
	90.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
	79.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
	48.0%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
	38.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
	46.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))))
	46.6%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
	46.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
✓	61.6%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
	75.4%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
✓	47.9%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	46.9%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
	24.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
✓	51.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	47.4%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64))))))
	51.3%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
	51.7%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
	4.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
	47.8%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
✓	56.1%	(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
	78.1%	#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (-.f64 kx ky) (.f64 #s(literal -2 binary64) ky))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
	78.4%	#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 838 to 765 computations (58.4% saved)

regimes251.0ms (1.8%)

Memory

5.7MiB live, 452.2MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (-.f64 kx ky) (.f64 #s(literal -2 binary64) ky))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (.f64 (.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)))) #s(literal -1/2 binary64))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Outputs

(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64))))))

Calls

19 calls:

18.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
16.0ms	(*.f64 #s(literal 2 binary64) l)
15.0ms	l
14.0ms	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
14.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
96.5%	1	`l`
98.2%	2	`Om`
96.5%	1	`kx`
98.1%	2	`ky`
100.0%	2	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
100.0%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
100.0%	2	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
100.0%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
100.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
100.0%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
100.0%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
96.5%	1	`(*.f64 #s(literal 2 binary64) l)`
98.1%	2	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
96.5%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
96.5%	1	`(sin.f64 kx)`
98.1%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
96.5%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes107.0ms (0.8%)

Memory

8.4MiB live, 205.0MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (-.f64 kx ky) (.f64 #s(literal -2 binary64) ky))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (.f64 (.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 Om Om)))) #s(literal -1/2 binary64))))))

Outputs

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (*.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))

(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (*.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))

Calls

9 calls:

12.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
12.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
12.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
12.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
12.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
99.8%	3	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
99.8%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
99.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
99.8%	3	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
99.0%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
99.0%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
99.8%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 207 to 142 computations (31.4% saved)

regimes35.0ms (0.3%)

Memory

-14.8MiB live, 62.7MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (-.f64 kx ky) (.f64 #s(literal -2 binary64) ky))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 l (/.f64 l (.f64 Om Om))))) #s(literal 1 binary64))))))))

Outputs

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (*.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Calls

3 calls:

11.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

11.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

10.0ms

(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
99.6%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.6%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes34.0ms (0.2%)

Memory

12.1MiB live, 58.4MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (-.f64 kx ky) (.f64 #s(literal -2 binary64) ky))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 l Om) #s(literal 2 binary64)) (+.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Outputs

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (*.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Calls

3 calls:

13.0ms

(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

9.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

9.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
99.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes74.0ms (0.5%)

Memory

-15.4MiB live, 142.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (/.f64 l Om) #s(literal 2 binary64))) (*.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))

Outputs

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (*.f64 (/.f64 l Om) #s(approx (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Calls

9 calls:

11.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
11.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
7.0ms	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
6.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
6.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.3%	3	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
98.3%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
98.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
98.3%	3	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
97.2%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
97.2%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.3%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 207 to 142 computations (31.4% saved)

regimes22.0ms (0.2%)

Memory

8.4MiB live, 47.1MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 ky) l))) Om)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (/.f64 #s(approx (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 Om Om)) (.f64 (neg.f64 l) l) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (fma.f64 (neg.f64 (.f64 l l)) (/.f64 #s(approx (- 1 ( 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 l (*.f64 Om Om)) l) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (fma.f64 (.f64 (.f64 l l) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 4 binary64) #s(literal 1 binary64))))))))

Outputs

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Calls

3 calls:

8.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

6.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

6.0ms

(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
98.3%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes13.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 l (.f64 Om Om))) l #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (.f64 (.f64 kx (/.f64 l (.f64 Om Om))) (.f64 kx l)))) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (.f64 l (/.f64 l (.f64 Om Om))) #s(approx ( (pow (sin kx) 2) (* l (/ l (* Om Om)))) (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)))) #s(literal 1 binary64))))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64))))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Outputs

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64)))))))

Calls

3 calls:

4.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

4.0ms

(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

4.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
98.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes11.0ms (0.1%)

Memory

-18.7MiB live, 20.3MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 ky ky) Om) l) #s(literal 1/6 binary64) (/.f64 Om l)) ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (/ l Om) 2)) (* (/ l Om) 2)) 1) (fma.f64 (/.f64 (.f64 (.f64 kx l) (.f64 kx l)) (.f64 Om Om)) #s(literal 4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))

Outputs

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky)))))

Calls

3 calls:

3.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

3.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

3.0ms

(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
98.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes7.0ms (0%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Outputs

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Calls

3 calls:

2.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

2.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

2.0ms

(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
98.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes30.0ms (0.2%)

Memory

-19.6MiB live, 62.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) #s(literal 1 binary64)))

Outputs

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64)))

(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

Calls

13 calls:

5.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
4.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
2.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
2.0ms	(sin.f64 kx)
2.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
81.7%	2	`l`
68.8%	5	`kx`
81.7%	2	`(*.f64 #s(literal 2 binary64) l)`
65.7%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
68.8%	5	`(sin.f64 kx)`
61.6%	1	`(sin.f64 ky)`
67.0%	3	`ky`
61.6%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
65.7%	3	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
81.4%	2	`Om`
97.8%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
97.8%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
97.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 136 to 103 computations (24.3% saved)

regimes30.0ms (0.2%)

Memory

-10.8MiB live, 66.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

Outputs
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

Calls

19 calls:

4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
4.0ms	(sin.f64 ky)
1.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
1.0ms	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
1.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
56.1%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
56.1%	1	`(sin.f64 ky)`
56.1%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
56.1%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
56.1%	1	`kx`
56.1%	1	`(sin.f64 kx)`
56.1%	1	`ky`
56.1%	1	`Om`
56.1%	1	`l`
56.1%	1	`(*.f64 #s(literal 2 binary64) l)`
56.1%	1	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
56.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
56.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
56.1%	1	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
56.1%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
56.1%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
56.1%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
56.1%	1	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
56.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 275 to 198 computations (28% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	70836274833000.77	472341044140299.25

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9316.127569118471	17419602.98643867

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9316.127569118471	17419602.98643867

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9316.127569118471	17419602.98643867

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9560772386365766	9316.127569118471

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9560772386365766	9316.127569118471

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9560772386365766	9316.127569118471

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9560772386365766	9316.127569118471

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9560772386365766	9316.127569118471

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch17.0ms (0.1%)

Memory

-8.2MiB live, 30.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9560772386365766	9316.127569118471

Samples

8.0ms

128×

valid

Compiler

Compiled 164 to 142 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37.6% of total)

ival-sqrt: 2.0ms (37.6% of total)

ival-add: 1.0ms (18.8% of total)

ival-mult: 1.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Memory

35.2MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
32×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1215
1	209	1215
2	227	1215
3	241	1215
4	250	1215
5	253	1215

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 100000000000000 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64)))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (.f64 (.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))) (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4278419646001971/1125899906842624 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

Outputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 100000000000000 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64)))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 100000000000000 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (/.f64 (fma.f64 (pow.f64 (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 (sin.f64 ky) l)) #s(literal -1/2 binary64)))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (.f64 (.f64 l (/.f64 #s(literal 2 binary64) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (/.f64 #s(literal 2 binary64) Om) l)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 10000 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))) (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 #s(approx (- 1/2 (- ( 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 (/.f64 Om (*.f64 (sin.f64 ky) l)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal -1/2 binary64))))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (.f64 ky l))) #s(approx (/ Om ( (sin ky) l)) (/.f64 Om (*.f64 ky l)))) #s(literal 1/16 binary64) #s(literal -1/4 binary64)))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 ky #s(literal 1/2 binary64))) ky))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) #s(approx (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/.f64 (fma.f64 (/.f64 Om l) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) ky)) ky))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(approx (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (fma.f64 #s(approx (/ Om (* (sin ky) l)) (/.f64 Om (*.f64 ky l))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4278419646001971/1125899906842624 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 l #s(literal 2 binary64)) Om) #s(literal 2 binary64))) #s(literal 4278419646001971/1125899906842624 binary64)) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) #s(literal 1/2 binary64)))

soundness1.2s (8.7%)

Memory

-11.8MiB live, 948.4MiB allocated

Rules

11 696×	`lower-fma.f64`
11 696×	`lower-fma.f32`
9 718×	`lower-fma.f64`
9 718×	`lower-fma.f32`
9 134×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1574	48164
1	5332	46952
0	8831	44826
0	582	10419
1	1932	10186
2	7928	10184
0	8038	9659
0	127	1122
0	189	1107
1	819	941
0	6718	918
0	1749	41121
1	5864	40246
0	8058	38483
0	101	685
0	150	663
1	586	544
2	5110	532
0	8253	518
0	80	748
0	144	717
1	544	622
2	4600	612
0	8309	592
0	21	116
0	37	116
1	129	113
2	924	113
0	8513	109

Stop Event

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

Compiler

Compiled 1 198 to 511 computations (57.3% saved)

preprocess242.0ms (1.8%)

Memory: -19.0MiB live, 222.7MiB allocated
Remove: (abs l)
Compiler: Compiled 2 502 to 920 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze160.0ms (1.2%)

sample2.3s (16.9%)

explain368.0ms (2.7%)

preprocess177.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (0.9%)

localize100.0ms (0.7%)

series82.0ms (0.6%)

simplify262.0ms (1.9%)

rewrite329.0ms (2.4%)

eval184.0ms (1.3%)

prune214.0ms (1.6%)

simplify194.0ms (1.4%)

localize453.0ms (3.3%)

series392.0ms (2.9%)

simplify644.0ms (4.7%)

rewrite209.0ms (1.5%)

eval385.0ms (2.8%)

prune252.0ms (1.8%)

simplify168.0ms (1.2%)

localize509.0ms (3.7%)

series210.0ms (1.5%)

simplify320.0ms (2.3%)

rewrite181.0ms (1.3%)

eval352.0ms (2.6%)

prune296.0ms (2.2%)

simplify155.0ms (1.1%)

localize416.0ms (3%)

series370.0ms (2.7%)

simplify444.0ms (3.2%)

rewrite302.0ms (2.2%)

eval433.0ms (3.2%)

prune632.0ms (4.6%)

regimes251.0ms (1.8%)

regimes107.0ms (0.8%)

regimes35.0ms (0.3%)

regimes34.0ms (0.2%)

regimes74.0ms (0.5%)

regimes22.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes30.0ms (0.2%)

regimes30.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

simplify15.0ms (0.1%)

soundness1.2s (8.7%)

preprocess242.0ms (1.8%)

end0.0ms (0%)

Profiling