Metrics for Toniolo and Linder, Equation (3a)

analyze140.0ms (1%)

Memory

4.9MiB live, 243.0MiB 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)

sample2.0s (13.8%)

Memory

117.9MiB live, 2 782.7MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-sin: 351.0ms (27.8% of total)

ival-pow2: 269.0ms (21.3% of total)

ival-div: 255.0ms (20.2% of total)

ival-mult: 142.0ms (11.3% of total)

ival-sqrt: 120.0ms (9.5% of total)

ival-add: 107.0ms (8.5% of total)

exact: 7.0ms (0.6% of total)

ival-true: 6.0ms (0.5% of total)

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

Bogosity

preprocess285.0ms (2%)

Memory

-21.4MiB live, 359.0MiB 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 l (/.f64 l (*.f64 Om Om)))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))

Symmetry

(abs ky)

(abs kx)

(abs Om)

(abs l)

(sort kx ky)

explain596.0ms (4.2%)

Memory

-46.9MiB live, 742.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
39	-	-	`(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))))))`
5	-	-	`(.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	39	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	34
↳	`(/.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	73
↳	`(+.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	73
↳	`(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))))`	*ou**	1	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	99
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	16
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	16
`*.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**	1	0

Confusion

	Predicted +	Predicted -
+	2	1
-	39	214

Precision

0.04878048780487805

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	1
-	39	0	214

Precision?

0.04878048780487805

Recall?

0.6666666666666666

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

120.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 31.0ms (33% of total)

ival-sin: 24.0ms (25.5% of total)

ival-pow2: 15.0ms (15.9% of total)

ival-div: 10.0ms (10.6% of total)

ival-add: 6.0ms (6.4% of total)

ival-sqrt: 6.0ms (6.4% of total)

exact: 1.0ms (1.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(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

▶

98.8%

(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)

simplify193.0ms (1.4%)

Memory

1.5MiB live, 237.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize72.0ms (0.5%)

Memory

21.7MiB live, 98.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.1%	(/.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)))))))
✓	accuracy	98.2%	(.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))))
✓	accuracy	85.7%	(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

49.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 13.0ms (35.6% of total)

ival-pow2: 7.0ms (19.2% of total)

ival-div: 5.0ms (13.7% of total)

ival-mult: 5.0ms (13.7% of total)

ival-add: 3.0ms (8.2% of total)

ival-sqrt: 3.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series110.0ms (0.8%)

Memory

-0.4MiB live, 200.3MiB allocated

Counts

8 → 276

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))>
#<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)))))))))>
#<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)))))>
#<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))))))>
#<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))))>
#<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)))))))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>

Outputs
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<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)))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<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)))))))>
#<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)))))))))>
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#<alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<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))>
#<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))>
#<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))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (* 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)))))))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))>
#<alt (+ (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))))))>
#<alt (+ (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))))))))))>
#<alt (+ (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))))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))>
#<alt (+ (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))))))>
#<alt (+ (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))))))))))>
#<alt (+ (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))))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>

Calls

69 calls:

Time	Variable		Point	Expression
8.0ms	ky	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
7.0ms	ky	@	0	(/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
5.0ms	kx	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
4.0ms	l	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
3.0ms	kx	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))

rewrite520.0ms (3.6%)

Memory

22.2MiB live, 688.8MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify503.0ms (3.5%)

Memory

6.0MiB live, 930.3MiB 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	7931	10184
0	8041	9659

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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))))))))))
1/2
(+ 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) (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) (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
(+ 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 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))))))
(* 1/2 (+ 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))))))))))))
(* 1/2 (+ 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 (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 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))))))))))))
(* 1/2 (+ 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 (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 (* 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))))
(* 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))))
(* 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))))
(* 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))
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 (* 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))))
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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)))))
(+ 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)))))))))
(+ 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 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)))))))))
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1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(+ 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))))))))
(* 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)))))
(* -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)))))
(/ (+ (* 1/4 (* (/ (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)
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))))))
(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)))))))))))))
(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)))))
(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)))))
(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)))))))))))))
(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)))))
(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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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))))))))
(* 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)))
(* 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 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))))))))
(* 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)))
(* 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))))))))))
(* 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)
(* -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))
(* 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 (* -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 (* -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))))))
(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))))))))))))
(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))))))
(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))))))
(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))))))))))))
(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))))))
(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 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))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)

Outputs
(* 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))
(* 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))
(* 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))
(* 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))
(* 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))
(* 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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.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)))
(+ 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)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
(+ 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))))))))))
(fma.f64 (.f64 l l) (-.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) (/.f64 (.f64 #s(literal 64 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))) (pow.f64 Om #s(literal 6 binary64))))) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.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 1 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 (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 Om l) #s(literal 1/4 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 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)))))) (fma.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 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) #s(literal -1/32 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 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 Om #s(literal 6 binary64)) #s(literal -3/256 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 Om (pow.f64 l #s(literal 5 binary64))))) (fma.f64 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)))))) (fma.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 (.f64 Om (.f64 Om Om)) (.f64 l (*.f64 l l))) #s(literal -1/32 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
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -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))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* 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))))))))
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(* 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)))))))))
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(* 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 (+ (* -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)))))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(+ (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))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 (.f64 ky ky) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ (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))))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 ky ky) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 (.f64 ky ky) (fma.f64 (.f64 l l) (.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 Om Om) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64))))) (fma.f64 #s(literal 16/3 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.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)) #s(literal 1 binary64))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 ky (.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 ky (.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

eval202.0ms (1.4%)

Memory: -10.5MiB live, 392.7MiB allocated
Compiler: Compiled 46 115 to 5 333 computations (88.4% saved)

prune206.0ms (1.4%)

Memory

-29.7MiB live, 248.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	909	6	915
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	910	6	916

Accuracy

100.0%

Counts

916 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(sqrt.f64 (fma.f64 #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)))) #s(literal 1/2 binary64)))
▶	71.4%	(sqrt.f64 (fma.f64 #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 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	83.2%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.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))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	93.7%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))) #s(literal 1 binary64)))))))
▶	61.5%	(sqrt.f64 #s(literal 1 binary64))
▶	57.3%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 288 to 208 computations (27.8% saved)

simplify564.0ms (4%)

Memory

9.9MiB live, 761.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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	(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 #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)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #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)))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	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 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 #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 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #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 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	640	(sqrt.f64 #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 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 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))) #s(literal 1 binary64))))))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))
✓	cost-diff	704	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

21 530×	`lower-fma.f32`
21 520×	`lower-fma.f64`
6 294×	`lower-*.f32`
6 278×	`lower-*.f64`
2 966×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	545
0	96	545
1	160	525
2	404	509
3	1571	509
4	4778	509
5	6732	509
6	7152	509
7	7775	509
8	7880	509
9	7937	509
10	7962	503
0	8910	487

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

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

localize522.0ms (3.7%)

Memory

14.6MiB live, 454.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	96.6%	(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	85.8%	(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	85.4%	(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	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	91.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	82.9%	(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	81.3%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	97.5%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.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))))))
✓	accuracy	86.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	85.7%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))) #s(literal 1 binary64)))
✓	accuracy	67.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

261.0ms	86×	2	valid
112.0ms	99×	1	valid
33.0ms	71×	0	valid

Compiler

Compiled 574 to 56 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-cos: 59.0ms (20.6% of total)

ival-add: 58.0ms (20.3% of total)

adjust: 57.0ms (19.9% of total)

ival-div: 37.0ms (12.9% of total)

ival-mult: 30.0ms (10.5% of total)

ival-sqrt: 20.0ms (7% of total)

ival-sin: 17.0ms (5.9% of total)

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

exact: 1.0ms (0.3% of total)

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

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

series356.0ms (2.5%)

Memory

-3.8MiB live, 430.8MiB allocated

Counts

23 → 660

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<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)))))>
#<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)))))))>
#<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)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))))>
#<alt (+ 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)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 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)))))))))>
#<alt (+ 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 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -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 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))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 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))))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
#<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)))>
#<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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ 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))))))))))))>
#<alt (+ 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))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 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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#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -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))))) (* -1/2 (* (pow l 2) (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -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))))) (* -1/2 (* (pow l 2) (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ Om (* l (sin ky))))))>
#<alt (+ 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)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/4 (/ Om (sin ky)))) l)))>
#<alt (+ 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)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 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))))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/4 (/ 1 (* l (sin ky)))))))>
#<alt (+ 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)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (pow (sin ky) 2) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4)))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (/ Om (* l (sin ky))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))) l)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -1/2 (/ Om (* l (sin ky))))>
#<alt (* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin ky) 3)))) (* 1/2 (/ Om (sin ky)))) l))>
#<alt (* -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))>
#<alt (* -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))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (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))))))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))>
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#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))>
#<alt (* 1/2 (/ Om (* l (sin ky))))>
#<alt (* Om (+ (* -1/16 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/2 (/ 1 (* l (sin ky))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt 1>
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#<alt (+ 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))))))>
#<alt 1>
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#<alt (+ 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))))))>
#<alt 1>
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#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
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#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))>
#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
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#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))>
#<alt 1>
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#<alt (+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (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))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))>
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#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
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#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow l 6) (pow (sin ky) 6)))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow l 8) (pow (sin ky) 8)))) (* 1/64 (/ 1 (* (pow l 6) (pow (sin ky) 6)))))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt 1>
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#<alt (- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
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#<alt (pow kx 2)>
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#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))>
#<alt (* 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))))))))))>
#<alt (* 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)))))))))))>
#<alt (* 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))))))))))))>
#<alt (* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))>
#<alt (* -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)))))))))))>
#<alt (* -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))))))))))))>
#<alt (* -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)))))))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
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#<alt (+ 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))))))>
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#<alt (+ 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))))))>
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#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (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) (+ 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)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))>
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#<alt (+ (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)))))))))))>
#<alt (+ (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)))))))))))))>
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#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (pow ky 2)>
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#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)>
#<alt (+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))>
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#<alt (+ (* (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))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (+ (* (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))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt 1>
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#<alt 1>
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#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 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))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow Om 2))))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))>
#<alt (* (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))))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>

Calls

165 calls:

Time	Variable		Point	Expression
43.0ms	l	@	0	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)))) 1/2))
28.0ms	ky	@	-inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)))) 1/2))
23.0ms	l	@	inf	(+ (* (* 4 (* l l)) (/ (pow (sin kx) 2) (* Om Om))) 1)
16.0ms	ky	@	inf	(+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)
15.0ms	kx	@	inf	(+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)

rewrite460.0ms (3.2%)

Memory

11.1MiB live, 772.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 430×	`lower-*.f32`
5 416×	`lower-*.f64`
3 216×	`lower-fma.f32`
3 210×	`lower-fma.f64`
3 056×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	356
0	94	356
1	343	338
2	3010	311
0	8824	296

Stop Event

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

Counts

23 → 1 110

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

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))))
(+.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 2 binary64)) (fma.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) #s(literal -1 binary64))))
(sqrt.f64 (.f64 (fma.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) #s(literal 1 binary64)) (fma.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 l (.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (fma.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 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 l Om) (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (fma.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 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 l Om) (.f64 (fma.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 binary64))) (.f64 (/.f64 l Om) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 l Om) (.f64 (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) (fma.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 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.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 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (fma.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 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (*.f64 (/.f64 l Om) (fma.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 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 l Om) (fma.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 binary64)))) (.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 l Om) (fma.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 binary64)))) (.f64 (*.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om)) (fma.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 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (fma.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 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (fma.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 binary64)))) (/.f64 l Om) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 l Om) (fma.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 binary64)))) (/.f64 l Om)) #s(literal 4 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (fma.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 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 2 binary64)) #s(literal -1 binary64))))
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(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (*.f64 Om Om)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 Om Om)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (*.f64 Om Om))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om))))
(pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (*.f64 Om Om)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om))))))
(.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 Om Om)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))) (.f64 (log.f64 Om) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om (neg.f64 Om))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 Om Om) (-.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) (/.f64 Om (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om (neg.f64 Om)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om) Om)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (neg.f64 (.f64 Om (neg.f64 Om))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om)) (neg.f64 Om))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64)) (*.f64 Om Om))
(pow.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 kx) Om) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 Om Om) (-.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))
(pow.f64 (/.f64 Om (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 Om Om)))
(.f64 (sin.f64 kx) (.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) (.f64 Om Om)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (*.f64 Om (neg.f64 Om))))
(.f64 (/.f64 #s(literal 1 binary64) Om) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om))
(.f64 (/.f64 #s(literal 1 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 binary64) (.f64 Om Om)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om) (/.f64 #s(literal 1 binary64) Om))
(*.f64 (/.f64 (sin.f64 kx) Om) (/.f64 (sin.f64 kx) Om))
(*.f64 (pow.f64 (/.f64 Om (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (/.f64 Om (sin.f64 kx)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 kx)) (log.f64 (sin.f64 kx))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))

simplify550.0ms (3.9%)

Memory

11.8MiB live, 794.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 070×	`lower-*.f64`
8 070×	`lower-*.f32`
6 374×	`lower-fma.f64`
6 374×	`lower-fma.f32`
4 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1512	19346
1	5004	19187
0	8242	17996

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
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))))
(* 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))))
(* 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))))
(* 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
(+ 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 (* 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) (+ 1/2 (* -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 (* 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 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -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 (* 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 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 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)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 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)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
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 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -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 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))))))))))
1/2
(+ 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))))))))))))
1/2
(+ 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)))
1/2
(+ 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 (* -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) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -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))))))) (* 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))) (* -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) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* 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 (+ 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 (+ 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))))))))
(* 1/2 (+ 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))))))))))))
(* 1/2 (+ 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 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow (sin kx) 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin kx) 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow (sin kx) 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow (sin kx) 2) (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (sin kx) 6) (pow Om 6))))) (* -1/2 (/ (* (pow (sin kx) 2) (- (* -1/4 (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin kx) 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin kx) 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow (sin kx) 3))) (* -1/512 (/ (pow Om 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow (sin kx) 3))) (* -1/512 (/ (pow Om 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow kx 2) (- (* -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 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -1/4 (+ (* -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))))))) (* -1/2 (/ (* (pow l 2) (- (* -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 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -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 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin kx) 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))) (* 1/4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))) (* 1/4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (pow (sin kx) 2) (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))))) (* 64 (* (pow l 6) (pow (sin kx) 6))))) (* -1/2 (* (pow l 2) (* (pow (sin kx) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))) (* 1/4 (* (pow l 4) (pow (sin kx) 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))) (* 1/4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))) (* 1/4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (pow (sin kx) 2) (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))))) (* 64 (* (pow l 6) (pow (sin kx) 6))))) (* -1/2 (* (pow l 2) (* (pow (sin kx) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))) (* 1/4 (* (pow l 4) (pow (sin kx) 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow (sin kx) 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow (sin kx) 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow (sin kx) 2) (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (sin kx) 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin kx) 3)))) (* 1/4 (/ Om (* l (sin kx))))))
(+ 1/2 (+ (* -1/2 (/ (* (sin kx) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 3) (pow (sin kx) 3)))) (* 1/4 (/ Om (* l (sin kx)))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/4 (/ Om (sin kx)))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* (sin kx) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/4 (/ Om (sin kx))))) l)))
1
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow kx 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 kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/4 (* (pow kx 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)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow l 3) (pow (sin kx) 3)))) (* 1/4 (/ 1 (* l (sin kx)))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow l 5) (pow (sin kx) 5)))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin kx) 3)))))) (* 1/4 (/ 1 (* l (sin kx)))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin kx) 2) (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))))) (* 64 (* (pow l 6) (pow (sin kx) 6)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (pow (sin kx) 2) (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))))) (* 64 (* (pow l 6) (pow (sin kx) 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (pow (sin kx) 2) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (pow (sin kx) 2) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (pow (sin kx) 2) (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (sin kx) 6) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (sin kx) 4) (pow Om 4))) (* 4 (/ (pow (sin kx) 4) (pow Om 4))))))))))
(* 1/2 (/ Om (* l (sin kx))))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/2 (/ Om (sin kx)))) l)
(/ (+ (* -1 (/ (* (sin kx) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/2 (/ Om (sin kx))))) l)
(/ (+ (* -1 (/ (* (sin kx) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* (sin kx) (+ (* 1/256 (/ (pow Om 8) (pow (sin kx) 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (pow (sin kx) 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/2 (/ Om (sin kx)))))) l)
(* -1/2 (/ Om (* l (sin kx))))
(* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/2 (/ Om (sin kx)))) l))
(* -1 (/ (+ (* -1 (/ (* (sin kx) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/2 (/ Om (sin kx))))) l))
(* -1 (/ (+ (* -1 (/ (* (sin kx) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* (sin kx) (+ (* 1/256 (/ (pow Om 8) (pow (sin kx) 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (sin kx) 6))) (* 1/256 (/ (pow Om 6) (pow (sin kx) 6))))) (pow (sin kx) 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow l 2) (pow (sin kx) 3)))) (* 1/2 (/ Om (sin kx)))))) l))
1
(+ 1 (* -2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow kx 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 kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(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))))))
(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))))))
(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))))))
(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))))))
(* 1/2 (/ Om (* l (sin kx))))
(* Om (+ (* -1/16 (/ (pow Om 2) (* (pow l 3) (pow (sin kx) 3)))) (* 1/2 (/ 1 (* l (sin kx))))))
(* Om (+ (* (pow Om 2) (- (* 3/256 (/ (pow Om 2) (* (pow l 5) (pow (sin kx) 5)))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin kx) 3)))))) (* 1/2 (/ 1 (* l (sin kx))))))
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow l 7) (pow (sin kx) 7)))) (* 3/256 (/ 1 (* (pow l 5) (pow (sin kx) 5)))))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin kx) 3)))))) (* 1/2 (/ 1 (* l (sin kx))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin kx) 2) (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))))) (* 64 (* (pow l 6) (pow (sin kx) 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin kx) 2) (+ (* -16 (* (pow l 4) (pow (sin kx) 4))) (* 4 (* (pow l 4) (pow (sin kx) 4))))))) (* 64 (* (pow l 6) (pow (sin kx) 6)))) (pow Om 6))))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (- (* 16 (/ (* (pow l 2) (pow (sin kx) 4)) (pow Om 4))) (* 4 (/ (pow (sin kx) 2) (pow Om 2))))))
(+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow l 2) (pow (sin kx) 6)) (pow Om 6))) (* -16 (/ (pow (sin kx) 4) (pow Om 4))))) (* 4 (/ (pow (sin kx) 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin kx) 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin kx) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin kx) 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin kx) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin kx) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin kx) 4))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin kx) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin kx) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin kx) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin kx) 4)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin kx) 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin kx) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin kx) 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin kx) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin kx) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin kx) 4))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin kx) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin kx) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin kx) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin kx) 4)))))) (pow l 2))
1
(+ 1 (* -4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 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))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin kx) 2))))
(* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow l 4) (pow (sin kx) 4)))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin kx) 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow l 6) (pow (sin kx) 6)))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin kx) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin kx) 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow l 8) (pow (sin kx) 8)))) (* 1/64 (/ 1 (* (pow l 6) (pow (sin kx) 6)))))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin kx) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin kx) 2))))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin kx) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin kx) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin kx) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin kx) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin kx) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin kx) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow (sin ky) 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin ky) 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow (sin ky) 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 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 (/ (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin ky) 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin ky) 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow (sin ky) 3))) (* -1/512 (/ (pow Om 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow (sin ky) 3))) (* -1/512 (/ (pow Om 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -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 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -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))))))) (* -1/2 (/ (* (pow l 2) (- (* -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 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -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 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -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))))) (* -1/2 (* (pow l 2) (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -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))))) (* -1/2 (* (pow l 2) (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))))))) (pow Om 6))))))
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))))))))))
1/2
(+ 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 (/ (+ (* -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
(+ 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)))))))))))
(+ 1/2 (* 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))))))))
(+ 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))))))))
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
(+ 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 (* -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 (* (pow l 2) (+ (* -2 (/ (pow (sin ky) 2) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4)))))))))
(+ 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))))))))))
(* 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)
(* -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))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (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) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(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))))))
(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))))))
(* 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))))))
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))))))
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))))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (- (* 16 (/ (* (pow l 2) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))
(+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow l 2) (pow (sin ky) 6)) (pow Om 6))) (* -16 (/ (pow (sin ky) 4) (pow Om 4))))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (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))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))
(* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow l 4) (pow (sin ky) 4)))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow l 6) (pow (sin ky) 6)))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow l 8) (pow (sin ky) 8)))) (* 1/64 (/ 1 (* (pow l 6) (pow (sin ky) 6)))))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(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))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 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)))))
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))))))))
(* 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))))))))))))
(* -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)))))))))))))
(* 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)
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))))))
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))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (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) (+ 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)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))
(+ (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)))))))))))))
(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)))))
(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)))))
(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)))))))))))))
(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)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (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 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -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)
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ (* 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))
(/ (* 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)
(/ (* 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)
(/ (* 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))
(/ (* 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)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
1
(+ 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 l 2) (pow (sin kx) 2)) (pow Om 2))))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
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))))))))
(+ 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 l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 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 l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(+ 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 l 2) (pow (sin kx) 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (pow (sin kx) 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (pow (sin kx) 2))) (pow Om 2)) (pow Om 2))
1
(+ 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 l 2) (pow (sin kx) 2)) (pow Om 2))))
1
(+ 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 l 2) (pow (sin kx) 2)) (pow Om 2))))
(/ (pow kx 2) (pow Om 2))
(* (pow kx 2) (+ (* -1/3 (/ (pow kx 2) (pow Om 2))) (/ 1 (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* 2/45 (/ (pow kx 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/315 (/ (pow kx 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
(/ (pow (sin kx) 2) (pow Om 2))
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))))
(* 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 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))))
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))))))))
(+ 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 (* 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 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 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 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))
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 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 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 (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 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 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 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 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))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)

Outputs
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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(* 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)) (fma.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 Om Om))
(* (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 l l) (/.f64 (fma.f64 #s(literal 4 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 4 binary64)) (*.f64 Om Om)) #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))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 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 4 binary64)) (*.f64 Om Om)) #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))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 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 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(* 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)) (fma.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 Om Om))
(* (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 l l) (/.f64 (fma.f64 #s(literal 4 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 4 binary64)) (*.f64 Om Om)) #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))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 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 4 binary64)) (*.f64 Om Om)) #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))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 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 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(* 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)) (fma.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 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)) (fma.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 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)) (fma.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 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)) (fma.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 Om Om)) (.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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #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 kx kx) (/.f64 (.f64 l l) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.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)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal -4/3 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))))))
(+ 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)))))))))
(+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal 8/45 binary64) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om)))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #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 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 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)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 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)))))))
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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(sqrt 1/2)
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1
#s(literal 1 binary64)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin kx) 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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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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1
#s(literal 1 binary64)
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1/2
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #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)))))
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
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(* 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)))))))))))
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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))))) (+ (* 1/512 (* (/ (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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(* -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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(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
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(/ (+ (* 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)
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(/ (+ (* 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)
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(/ (+ (* 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)
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 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)))))
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(+ 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))))))
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 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)))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
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(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 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 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 kx kx)) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 l (*.f64 kx kx)) Om) (/.f64 l 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))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 l Om) (/.f64 (.f64 #s(literal 2/45 binary64) (.f64 l (*.f64 kx kx))) Om)) (/.f64 l Om))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 l (*.f64 ky ky)) Om) (/.f64 l 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))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (/.f64 l Om) (/.f64 (.f64 #s(literal 2/45 binary64) (.f64 l (*.f64 ky ky))) Om)) (/.f64 l Om))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin kx) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal -4/3 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal 8/45 binary64) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin kx) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin kx) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin kx) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) (.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(/ (pow kx 2) (pow Om 2))
(/.f64 (.f64 kx kx) (.f64 Om Om))
(* (pow kx 2) (+ (* -1/3 (/ (pow kx 2) (pow Om 2))) (/ 1 (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 kx kx) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* 2/45 (/ (pow kx 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (/.f64 (.f64 kx kx) (.f64 Om Om)) (/.f64 #s(literal -1/3 binary64) (.f64 Om Om))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/315 (/ (pow kx 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/315 binary64) (/.f64 (.f64 kx kx) (.f64 Om Om)) (/.f64 #s(literal 2/45 binary64) (.f64 Om Om))) (/.f64 #s(literal -1/3 binary64) (.f64 Om Om))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
(/ (pow (sin kx) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 #s(literal -4/3 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)))) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 #s(literal 8/45 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.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 #s(literal 4 binary64) (.f64 (.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 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(/ (pow ky 2) (pow Om 2))
(/.f64 (.f64 ky ky) (.f64 Om Om))
(* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow Om 2))))
(.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 ky ky) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (/.f64 (.f64 ky ky) (.f64 Om Om)) (/.f64 #s(literal -1/3 binary64) (.f64 Om Om))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(* (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))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/315 binary64) (/.f64 (.f64 ky ky) (.f64 Om Om)) (/.f64 #s(literal 2/45 binary64) (.f64 Om Om))) (/.f64 #s(literal -1/3 binary64) (.f64 Om Om))) (/.f64 #s(literal 1 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))
(/ (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))
(/ (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))
(/ (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))
(/ (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))
(/ (pow (sin ky) 2) (pow Om 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

eval374.0ms (2.6%)

Memory: 25.9MiB live, 802.7MiB allocated
Compiler: Compiled 99 447 to 9 618 computations (90.3% saved)

prune468.0ms (3.3%)

Memory

-154.2MiB live, 650.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 761	9	1 770
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 766	10	1 776

Accuracy

100.0%

Counts

1 776 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.3%	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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)))) #s(literal 1/2 binary64)))
	83.4%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	83.1%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	49.3%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	48.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	34.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
▶	58.0%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	93.4%	(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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	57.3%	(sqrt.f64 #s(literal 1/2 binary64))
▶	61.5%	#s(literal 1 binary64)

Compiler

Compiled 402 to 302 computations (24.9% saved)

simplify369.0ms (2.6%)

Memory

8.3MiB live, 712.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

15 298×	`lower-fma.f32`
15 286×	`lower-fma.f64`
6 304×	`lower-*.f32`
6 282×	`lower-*.f64`
1 848×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	507
0	104	507
1	179	503
2	348	503
3	804	498
4	2177	498
5	4469	498
0	8150	486

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

localize303.0ms (2.1%)

Memory

-11.3MiB live, 520.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))
✓	accuracy	98.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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))))
✓	accuracy	94.0%	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.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)))) #s(literal 1/2 binary64)))
✓	accuracy	93.7%	(fma.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))
✓	accuracy	91.6%	(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	84.4%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om))
✓	accuracy	84.3%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	77.7%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.8%	(/.f64 Om (*.f64 l (sin.f64 ky)))
✓	accuracy	99.7%	(*.f64 l (sin.f64 ky))
✓	accuracy	94.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64))))
✓	accuracy	98.9%	(.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	93.7%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	85.7%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))

Samples

105.0ms	87×	1	valid
48.0ms	33×	2	valid
40.0ms	85×	0	invalid
26.0ms	51×	0	valid

Compiler

Compiled 544 to 62 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-cos: 43.0ms (28.1% of total)

ival-mult: 32.0ms (20.9% of total)

ival-div: 21.0ms (13.7% of total)

ival-sqrt: 19.0ms (12.4% of total)

ival-add: 15.0ms (9.8% of total)

adjust: 13.0ms (8.5% of total)

ival-sin: 8.0ms (5.2% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series270.0ms (1.9%)

Memory

-0.9MiB live, 371.2MiB allocated

Counts

26 → 756

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 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))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (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)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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)))))>
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#<alt (+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))>
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#<alt 1>
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#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))>
#<alt 1>
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#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))>
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#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)))>
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#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* -1/2 (* (pow ky 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* 1/2 (* (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (+ 1 (cos (* -2 ky)))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ 1 (cos (* -2 kx)))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>

Calls

189 calls:

Time	Variable		Point	Expression
40.0ms	Om	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (/ (* l (+ (* -1/2 (cos (* ky -2))) 1/2)) Om)) 1)))))
37.0ms	ky	@	0	(sqrt (+ (* (* 1/4 (/ Om l)) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))
6.0ms	Om	@	-inf	(sqrt (+ (* (* 1/4 (/ Om l)) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))
5.0ms	ky	@	-inf	(+ (* -1/4 (/ Om (* l (sin ky)))) 1/2)
4.0ms	ky	@	inf	(sqrt (+ (* (* 1/4 (/ Om l)) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))

rewrite322.0ms (2.3%)

Memory

7.0MiB live, 444.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 724×	`lower-*.f32`
4 702×	`lower-*.f64`
3 238×	`lower-/.f32`
3 222×	`lower-/.f64`
2 850×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	354
0	104	354
1	371	322
2	2654	318
0	8201	312

Stop Event

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

Counts

26 → 554

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

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

simplify500.0ms (3.5%)

Memory

-6.5MiB live, 709.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 738×	`lower-*.f64`
7 738×	`lower-*.f32`
6 286×	`lower-fma.f64`
6 286×	`lower-fma.f32`
4 712×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1778	21381
1	5727	20609
0	8474	19363

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 755

Calls

Call 1

Inputs
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))))
(* 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))))
(* 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))))
(* 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))
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))))
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))))
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))))))))
(+ 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))))
(+ 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))))
(+ 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
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (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) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
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)))))))))))
(* 1/2 (+ 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))))))))
(* 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))))))))
(* 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))))))))
(* 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))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -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))))) (/ (pow (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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))))) (/ (pow (+ 1/2 (* -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 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (pow l 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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 l 4) (pow (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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 l 4) (pow (+ 1/2 (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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 l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
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(* (sqrt 1/2) (sqrt 2))
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(sqrt 1/2)
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(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
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(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))
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(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(* (sqrt (/ Om (* ky l))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow ky 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om ky) l)) (sqrt -1/4))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* -1/48 (* (sqrt (/ (* Om ky) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4))))))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4)))) (* ky (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) ky))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* ky l))) (/ 1 (sqrt -1/4))))))))) ky)
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
1/2
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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(* -1/4 (/ Om (* l (sin ky))))
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(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
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(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(* -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)
1/2
(+ 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
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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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(/ (+ (* -1/4 (/ Om l)) (* ky (+ 1/2 (* -1/24 (/ (* Om ky) l))))) ky)
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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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(+ 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 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ 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 (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* ky l)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
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))))
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(* 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))))
(* 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))))
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))))))))
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(* 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))
1
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1
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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))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (* 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)))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -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))))) (* 1/4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6))))) (* -1/2 (/ (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -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))))) (* 1/4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow kx 2) (- (* -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 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -1/4 (+ (* -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))))))) (* -1/2 (/ (* (pow l 2) (- (* -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 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -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 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/4 (* (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) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)))
1
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow kx 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 kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/4 (* (pow kx 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)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
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(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 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))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (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 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow ky 2) l)
(* (pow ky 2) (+ l (* -1/3 (* (pow ky 2) l))))
(* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* 2/45 (* (pow ky 2) l))))))
(* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) l)) (* 2/45 l)))))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (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))))))))))
(* 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)
(* -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))
(* 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
(+ 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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (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) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(sqrt (/ 1 (+ 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))))))
(sqrt (/ 1 (+ 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))))))
(sqrt (/ 1 (+ 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))))))
(sqrt (/ 1 (+ 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))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (pow kx 2) (pow Om 2))
(* (pow kx 2) (+ (* -1/3 (/ (pow kx 2) (pow Om 2))) (/ 1 (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* 2/45 (/ (pow kx 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/315 (/ (pow kx 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 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))) (* (pow l 2) (+ (* -2 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(* -2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))
1
(+ 1 (* 2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow kx 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow kx 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))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(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)))))
(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)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (pow kx 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 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 (* -1/2 (+ (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 (* -1/2 (+ 1 (cos (* -2 kx)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (pow ky 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 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 (* -1/2 (+ (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)))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* -1/2 (* (pow ky 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* 1/2 (* (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(+ 1 (cos (* -2 ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ 1 (cos (* -2 kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #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 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #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 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #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 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #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 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal -4/3 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 8/45 binary64) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (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)))))))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 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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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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(* (sqrt 1/2) (sqrt 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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(* (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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(* (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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(* (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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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(+ (sqrt 1/2) (* Om (- (* Om (- (* -1/1024 (/ Om (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 #s(literal -1/1024 binary64) (/.f64 Om (.f64 (.f64 l (.f64 l l)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1/4 binary64)))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))
(.f64 Om (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (*.f64 l (sin.f64 ky))))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4)))))
(.f64 Om (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (*.f64 l (sin.f64 ky)))))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))
(.f64 Om (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1)))))))
(neg.f64 (.f64 Om (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))
(neg.f64 (.f64 Om (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (*.f64 Om Om))))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1/4 binary64)))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 (.f64 l (.f64 l l)) (/.f64 (sin.f64 ky) Om))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 l Om) (sin.f64 ky))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 Om (.f64 Om Om)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 l Om) (sin.f64 ky))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (.f64 l (pow.f64 Om #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 (.f64 l (.f64 l l)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky)))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 Om (.f64 Om Om))) (.f64 (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (neg.f64 l))) l))
(* (sqrt (/ Om (* ky l))) (sqrt -1/4))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow ky 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om ky) l)) (sqrt -1/4))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 ky (.f64 ky ky))) Om)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 ky Om) l)))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* -1/48 (* (sqrt (/ (* Om ky) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4))))))) ky)
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/48 binary64) (sqrt.f64 (/.f64 (.f64 ky Om) l)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 l (.f64 ky Om)))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 ky Om) l)))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4)))) (* ky (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) ky))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* ky l))) (/ 1 (sqrt -1/4))))))))) ky)
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(* -1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 ky)))))
(* -1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (sin.f64 ky)) (*.f64 l #s(literal 1/2 binary64))) l)
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (sin.f64 ky)) (*.f64 l #s(literal 1/2 binary64))) l)
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (sin.f64 ky)) (*.f64 l #s(literal 1/2 binary64))) l)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(* -1/4 (/ Om (* ky l)))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l ky))
(/ (+ (* -1/4 (/ Om l)) (* 1/2 ky)) ky)
(/.f64 (fma.f64 #s(literal 1/2 binary64) ky (*.f64 #s(literal -1/4 binary64) (/.f64 Om l))) ky)
(/ (+ (* -1/4 (/ Om l)) (* ky (+ 1/2 (* -1/24 (/ (* Om ky) l))))) ky)
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(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal 1 binary64))
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(sqrt 1/2)
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)))
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(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
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(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))))))))
(fma.f64 Om (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.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) kx)))) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) (.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 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.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) kx)))))) l))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -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)))))
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(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -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)))))
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(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 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)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(fma.f64 Om (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) Om) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
(fma.f64 Om (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 Om (fma.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 Om (.f64 (.f64 l (.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
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(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
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(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
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(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
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(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
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(/ (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l))))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om)) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 Om #s(literal 5 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l Om))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
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(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
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(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
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1/2
#s(literal 1/2 binary64)
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(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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(* 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))))))))))
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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
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 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)))))
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1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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1
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(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (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))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))) (.f64 Om Om)) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal 8/45 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 16/3 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64)))))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (*.f64 Om Om)))))))) #s(literal 1 binary64))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (pow kx 2) (pow Om 2))
(/.f64 (.f64 kx kx) (.f64 Om Om))
(* (pow kx 2) (+ (* -1/3 (/ (pow kx 2) (pow Om 2))) (/ 1 (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 kx kx) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* 2/45 (/ (pow kx 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (/.f64 (.f64 kx kx) (.f64 Om Om)) (/.f64 #s(literal -1/3 binary64) (.f64 Om Om))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(* (pow kx 2) (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/315 (/ (pow kx 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/315 binary64) (/.f64 (.f64 kx kx) (.f64 Om Om)) (/.f64 #s(literal 2/45 binary64) (.f64 Om Om))) (/.f64 #s(literal -1/3 binary64) (.f64 Om Om))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 kx))))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
(/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))))))
(fma.f64 (.f64 l l) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* 2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))) (*.f64 Om Om))) #s(literal 1 binary64))
(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(.f64 l (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.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) kx)))))) (/.f64 Om (.f64 l l))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))) Om))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(.f64 l (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.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) kx)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.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) kx)))))) (/.f64 Om (.f64 l l))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) Om)))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(.f64 l (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.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) kx)))) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 (/.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) kx)))) #s(literal 5 binary64)))) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.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) kx)))))) (/.f64 Om (.f64 l l))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))) Om))))))
(* -2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.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) kx)))))) (/.f64 Om (.f64 l l))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))) Om))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.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) kx)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.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) kx)))))) (/.f64 Om (.f64 l l))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) Om)))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))
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1
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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eval196.0ms (1.4%)

Memory: -1.6MiB live, 381.3MiB allocated
Compiler: Compiled 45 614 to 4 892 computations (89.3% saved)

prune139.0ms (1%)

Memory

20.9MiB live, 302.0MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 304	5	1 309
Fresh	0	4	4
Picked	3	2	5
Done	0	1	1
Total	1 307	12	1 319

Accuracy

100.0%

Counts

1 319 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
▶	46.4%	(sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 Om Om))) #s(literal 1 binary64)))
	83.4%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	83.1%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	49.3%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	48.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	34.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	58.0%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 l (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	85.5%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 Om Om))))) #s(literal 1/2 binary64)))
▶	93.4%	(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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	57.3%	(sqrt.f64 #s(literal 1/2 binary64))
✓	61.5%	#s(literal 1 binary64)

Compiler

Compiled 479 to 360 computations (24.8% saved)

simplify260.0ms (1.8%)

Memory

10.9MiB live, 433.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

7 708×	`lower-fma.f32`
7 696×	`lower-fma.f64`
4 396×	`lower-*.f32`
4 370×	`lower-*.f64`
3 262×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	612
0	108	603
1	202	595
2	505	595
3	1410	593
4	2597	593
5	3870	593
6	5372	593
0	8120	566

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

localize246.0ms (1.7%)

Memory

-22.4MiB live, 385.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
✓	accuracy	100.0%	(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
✓	accuracy	98.5%	(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 l #s(literal 4 binary64)) (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	98.5%	(/.f64 (.f64 (.f64 l #s(literal 4 binary64)) (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 Om Om))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal -2 binary64) ky))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (.f64 Om Om)))
✓	accuracy	99.2%	(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 Om Om))) #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(*.f64 l (sin.f64 kx))
✓	accuracy	100.0%	(/.f64 Om (*.f64 l (sin.f64 kx)))
✓	accuracy	98.5%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 l Om) #s(literal 4 binary64))
✓	accuracy	100.0%	(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
✓	accuracy	100.0%	(.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

138.0ms	224×	0	invalid
14.0ms	14×	1	invalid
9.0ms	18×	0	valid

Compiler

Compiled 654 to 65 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 51.0ms (40.5% of total)

ival-cos: 21.0ms (16.7% of total)

ival-sqrt: 21.0ms (16.7% of total)

ival-div: 13.0ms (10.3% of total)

ival-add: 12.0ms (9.5% of total)

ival-sin: 4.0ms (3.2% of total)

adjust: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series207.0ms (1.5%)

Memory

34.2MiB live, 352.2MiB allocated

Counts

30 → 900

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
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#<alt (+ 2 (* (pow l 2) (+ (* -2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (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))))))))))>
#<alt 1>
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#<alt 1>
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#<alt (+ 1 (* -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)))>
#<alt 1>
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#<alt (+ 1 (* 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))))))))))>
#<alt 2>
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#<alt (+ 2 (+ (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))>
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#<alt (+ 2 (+ (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))>
#<alt 2>
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#<alt (+ 2 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))>
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#<alt (+ (sqrt 1/2) (* Om (- (* Om (- (* -1/1024 (/ Om (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))>
#<alt (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))>
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#<alt (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4)))))>
#<alt (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))))>
#<alt (* -1/2 (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1)))>
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#<alt (* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))))>
#<alt (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))>
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#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin kx) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))>
#<alt (* (sqrt (/ Om (* kx l))) (sqrt -1/4))>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (* -1/4 (/ Om (* kx l)))>
#<alt (/ (+ (* -1/4 (/ Om l)) (* 1/2 kx)) kx)>
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#<alt (/ Om (* kx l))>
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#<alt (/ Om (* l (sin kx)))>
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#<alt (* l (sin kx))>
#<alt (* kx l)>
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#<alt (* kx (+ l (* (pow kx 2) (+ (* -1/6 l) (* 1/120 (* (pow kx 2) l))))))>
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#<alt (* l (sin kx))>
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#<alt (* -1 (/ (pow ky 2) (pow Om 2)))>
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#<alt (* (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))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))>
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#<alt 1>
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#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* -1/16 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))>
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#<alt (+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))))>
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#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))>
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#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt (sqrt 1/2)>
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#<alt (* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))>
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#<alt (/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)>
#<alt (/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)>
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#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))>
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#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))>
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#<alt (+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ 1 (cos (* -2 ky)))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>

Calls

225 calls:

Time	Variable		Point	Expression
11.0ms	l	@	-inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (/ (* (* l 4) (* l (+ (* -1/2 (cos (* ky -2))) 1/2))) (* Om Om))))) 1/2))
6.0ms	ky	@	inf	(* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)))
3.0ms	Om	@	0	(+ 1 (/ (* (* l 4) (* l (+ (* -1/2 (cos (* ky -2))) 1/2))) (* Om Om)))
3.0ms	Om	@	0	(/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1))))
3.0ms	ky	@	inf	(sqrt (+ (* (* l l) (/ (+ (* -1/2 (cos (* -2 ky))) 1/2) (neg (* Om Om)))) 1))

rewrite461.0ms (3.2%)

Memory

-2.8MiB live, 377.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 070×	`lower-*.f32`
6 044×	`lower-*.f64`
3 876×	`lower-/.f32`
3 860×	`lower-/.f64`
2 746×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	405
0	108	390
1	404	389
2	2745	389
0	9391	389

Stop Event

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

Counts

30 → 724

Calls

Call 1

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

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

simplify633.0ms (4.4%)

Memory

-15.0MiB live, 593.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 510×	`lower-*.f64`
8 510×	`lower-*.f32`
6 072×	`lower-fma.f64`
6 072×	`lower-fma.f32`
4 120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1615	23306
1	5220	23026
0	8240	21374

Stop Event

1×	iter limit
1×	node limit

Counts

900 → 887

Calls

Call 1

Inputs
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))))
(* 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))))
(* 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))))
(* 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))
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))))
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))))
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))))))))
(+ 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))))
(+ 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))))
(+ 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
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (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) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
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)))))))))))
(* 1/2 (+ 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))))))))
(* 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))))))))
(* 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))))))))
(* 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))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -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))))) (/ (pow (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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))))) (/ (pow (+ 1/2 (* -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 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (pow l 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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 l 4) (pow (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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 l 4) (pow (+ 1/2 (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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 l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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 l 4) (pow (+ 1/2 (* -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) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -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 l 4) (pow (+ 1/2 (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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 l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1 (/ (* (pow l 2) (sqrt 1/2)) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (/ (pow l 4) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1 (/ (* (pow l 2) (sqrt 1/2)) (* (pow Om 2) (sqrt 2)))) (* (pow ky 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (/ (pow l 4) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -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 (/ (* (pow l 2) (- (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (/ (pow l 4) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(* (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)))))))))
(* (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)))))))))
(* (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)))))))))
(* (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)))))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 2 (* (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)))))))))
(+ 2 (* (pow l 2) (+ (* -2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (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))))))))))
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1 (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 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 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1
(+ 1 (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1 (* -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 (* (/ (+ (* -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 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1 (* 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)))))))))))
(+ 1 (* 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))))))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 2 (+ (* -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)))))
(+ 2 (+ (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 2 (+ (* -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)))))
(+ 2 (+ (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
2
(+ 2 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 2 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (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))))))))))
(+ 2 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (- (* -1/128 (/ Om (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (- (* Om (- (* -1/1024 (/ Om (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4)))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))))
(* -1/2 (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1)))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1)))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))))
(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin kx)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin kx) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin kx) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin kx) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin kx) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin kx) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin kx) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
(* (sqrt (/ Om (* kx l))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow kx 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om kx) l)) (sqrt -1/4))) kx)
(/ (+ (* (sqrt (/ (* Om kx) l)) (sqrt -1/4)) (* (pow kx 2) (+ (* -1/48 (* (sqrt (/ (* Om kx) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om kx))) (/ 1 (sqrt -1/4))))))) kx)
(/ (+ (* (sqrt (/ (* Om kx) l)) (sqrt -1/4)) (* (pow kx 2) (+ (* 1/4 (* (sqrt (/ l (* Om kx))) (/ 1 (sqrt -1/4)))) (* kx (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) kx))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* kx l))) (/ 1 (sqrt -1/4))))))))) kx)
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(* -1/4 (/ Om (* l (sin kx))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(* -1/4 (/ Om (* l (sin kx))))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om)))))
(* -1/4 (/ Om (* l (sin kx))))
(/ (+ (* -1/4 (/ Om (sin kx))) (* 1/2 l)) l)
(/ (+ (* -1/4 (/ Om (sin kx))) (* 1/2 l)) l)
(/ (+ (* -1/4 (/ Om (sin kx))) (* 1/2 l)) l)
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(* -1/4 (/ Om (* kx l)))
(/ (+ (* -1/4 (/ Om l)) (* 1/2 kx)) kx)
(/ (+ (* -1/4 (/ Om l)) (* kx (+ 1/2 (* -1/24 (/ (* Om kx) l))))) kx)
(/ (+ (* -1/4 (/ Om l)) (* kx (+ 1/2 (* kx (+ (* -1/24 (/ Om l)) (* 1/4 (* (pow kx 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))))) kx)
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* kx l))
(/ (+ (* 1/6 (/ (* Om (pow kx 2)) l)) (/ Om l)) kx)
(/ (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) kx)
(/ (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 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)) kx)
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* kx l)
(* kx (+ l (* -1/6 (* (pow kx 2) l))))
(* kx (+ l (* (pow kx 2) (+ (* -1/6 l) (* 1/120 (* (pow kx 2) l))))))
(* kx (+ l (* (pow kx 2) (+ (* -1/6 l) (* (pow kx 2) (+ (* -1/5040 (* (pow kx 2) l)) (* 1/120 l)))))))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* -1 (/ (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))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2)))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/8 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* -1/16 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))
(* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* l (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/16 (* (/ (pow Om 5) (* (pow l 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* -1 (* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* -1 (* l (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* -1 (* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* -1 (* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/16 (* (/ (pow Om 5) (* (pow l 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* 1/3 (/ (pow l 2) (pow Om 2))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -2/45 (/ (pow l 2) (pow Om 2))) (* -1/2 (/ (* (pow l 2) (- (* 1/3 (/ (pow l 2) (pow Om 2))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* 1/3 (/ (pow l 2) (pow Om 2))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(/ (+ (* 1/2 (* (/ (pow Om 2) (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) Om)
(/ (+ (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow l 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/2 (* (/ 1 (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/ (+ (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow l 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/16 (* (/ (pow Om 2) (* (pow l 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
1
(+ 1 (* -1/2 (/ (* (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))) (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* -1/16 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (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))) (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* -1/16 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* 1/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -2/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/3 (/ (pow l 2) (pow Om 2))))))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/ (+ (* -1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* -1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* -1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow ky 2) (pow l 2)))
(* (pow ky 2) (+ (* -4/3 (* (pow ky 2) (pow l 2))) (* 4 (pow l 2))))
(* (pow ky 2) (+ (* 4 (pow l 2)) (* (pow ky 2) (+ (* -4/3 (pow l 2)) (* 8/45 (* (pow ky 2) (pow l 2)))))))
(* (pow ky 2) (+ (* 4 (pow l 2)) (* (pow ky 2) (+ (* -4/3 (pow l 2)) (* (pow ky 2) (+ (* -4/315 (* (pow ky 2) (pow l 2))) (* 8/45 (pow l 2))))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))
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))))
(* 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))))
(* 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))))
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))))))))
(+ 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))))
(+ 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))))
(+ 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))))
(* 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))
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))))
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))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -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))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
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(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
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(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -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))))))) (* -1/2 (/ (* (pow l 2) (- (* -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 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -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 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))))
1
(+ 1 (* -1/2 (/ (* (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 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (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 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (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) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
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)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))) (* -1/16 (* (/ (* Om (pow ky 2)) l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))) (* (pow ky 2) (+ (* -1/16 (* (/ Om l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))) (* 1/2 (* (* (pow ky 2) (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))) (* (pow ky 2) (+ (* -1/16 (* (/ Om l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))) (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))) (* 1/2 (* (* (pow ky 2) (- (* -1/8 (* (/ (* Om (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* -1/16 (* (/ (* Om (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))) (* l (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))) (* -1/16 (* (/ (* Om (pow kx 2)) l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))) (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/8 (* (/ (* Om (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* -1/16 (* (/ (* Om (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))) (* l (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om)))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))
(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 l)) l)
(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 l)) l)
(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))
(+ 1/2 (+ (* -1/8 (* (/ (* Om (pow ky 2)) l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ 1/2 (+ (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* (pow ky 2) (+ (* -1/8 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* 1/8 (* (/ (* Om (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))
(+ 1/2 (+ (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* (pow ky 2) (+ (* -1/8 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* (pow ky 2) (+ (* -1/8 (* (/ (* Om (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow ky 2) l)
(* (pow ky 2) (+ l (* -1/3 (* (pow ky 2) l))))
(* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* 2/45 (* (pow ky 2) l))))))
(* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) l)) (* 2/45 l)))))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* (pow ky 2) l) Om)
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(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
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(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(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))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
1
(+ 1 (* -2 (pow ky 2)))
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(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
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(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
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(* (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) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
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(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
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(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))
(+ (* 1/2 (* (* (pow ky 2) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))
(+ (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (* l (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (* l (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))
(+ (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* 1/2 (* l (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* (pow ky 2) (+ (* -1/2 (* (* l (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (* (* (pow ky 2) (* l (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))
(+ (* 1/2 (* (* (pow kx 2) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))
(+ (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* l (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (* l (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))))
(+ (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* 1/2 (* l (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* (pow kx 2) (+ (* -1/2 (* (* l (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (* (* (pow kx 2) (* l (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(+ 1 (cos (* -2 kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ 1 (cos (* -2 ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 2 binary64)) (.f64 Om Om)) #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 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 2 binary64)) (.f64 Om Om)) #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 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 2 binary64)) (.f64 Om Om)) #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 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 2 binary64)) (.f64 Om Om)) #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 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal -4/3 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 8/45 binary64) (/.f64 (.f64 (.f64 l l) #s(literal -4/3 binary64)) (.f64 Om Om))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (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)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 l l)) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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))))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 Om Om)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -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)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (.f64 Om (pow.f64 l #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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1/2
#s(literal 1/2 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 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(* (sqrt 1/2) (sqrt 2))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
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(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))))))))))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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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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(* (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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(* (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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(* (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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(* (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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2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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(+ 1 (* -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)))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 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)))))))))))
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(+ 1 (* 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))))))))))
(fma.f64 Om (fma.f64 (.f64 Om Om) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) #s(literal -1/16 binary64) (.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 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) l))) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 2 binary64))
(+ 2 (+ (* -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)))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64))) (pow.f64 Om #s(literal 4 binary64))))
(+ 2 (+ (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (.f64 Om Om))))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 2 binary64))
(+ 2 (+ (* -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)))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64))) (pow.f64 Om #s(literal 4 binary64))))
(+ 2 (+ (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (.f64 Om Om))))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 2 binary64))
(+ 2 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (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))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 (.f64 l l) #s(literal -4/3 binary64)) (.f64 Om Om)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 2 binary64))
(+ 2 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (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)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))) (.f64 Om Om)) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal 8/45 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 (.f64 l l) #s(literal -4/3 binary64)) (.f64 Om Om))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 16/3 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64)))))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 (.f64 l l) #s(literal -4/3 binary64)) (.f64 Om Om)))))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 2 binary64))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (- (* -1/128 (/ Om (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 #s(literal -1/128 binary64) (/.f64 Om (.f64 (.f64 l l) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (- (* Om (- (* -1/1024 (/ Om (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 #s(literal -1/1024 binary64) (/.f64 Om (.f64 (.f64 l (.f64 l l)) (.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 kx)))) (sqrt.f64 #s(literal -1/4 binary64)))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))
(.f64 Om (fma.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 kx))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 kx)) (.f64 Om (*.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4)))))
(.f64 Om (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 kx))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 kx)) (.f64 Om (*.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64)))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))))
(.f64 Om (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 kx))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 kx)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))))))))
(* -1/2 (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 kx)))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 kx))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 kx)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1)))))))
(neg.f64 (.f64 Om (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 kx))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 kx)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 kx))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 kx)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 Om))
(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 kx)))) (sqrt.f64 #s(literal -1/4 binary64)))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin kx)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4))) l)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 (.f64 l (.f64 l l)) (/.f64 (sin.f64 kx) Om))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 l Om) (sin.f64 kx))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin kx) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin kx) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 Om (.f64 Om Om)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 l Om) (sin.f64 kx))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin kx) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin kx) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin kx) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 5 binary64)) (.f64 l (pow.f64 Om #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 kx))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))))))
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(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin kx) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 kx))) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 Om (.f64 Om Om))) (.f64 l (.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) l)) l))
(* (sqrt (/ Om (* kx l))) (sqrt -1/4))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 Om (.f64 l kx))))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow kx 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om kx) l)) (sqrt -1/4))) kx)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 (.f64 kx (.f64 kx kx)) (/.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 Om kx) l)))) kx)
(/ (+ (* (sqrt (/ (* Om kx) l)) (sqrt -1/4)) (* (pow kx 2) (+ (* -1/48 (* (sqrt (/ (* Om kx) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om kx))) (/ 1 (sqrt -1/4))))))) kx)
(/.f64 (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/48 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 Om kx) l)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 l (.f64 Om kx))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (.f64 Om kx) l)))) kx)
(/ (+ (* (sqrt (/ (* Om kx) l)) (sqrt -1/4)) (* (pow kx 2) (+ (* 1/4 (* (sqrt (/ l (* Om kx))) (/ 1 (sqrt -1/4)))) (* kx (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) kx))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* kx l))) (/ 1 (sqrt -1/4))))))))) kx)
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64))
(* -1/4 (/ Om (* l (sin kx))))
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(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 kx)))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 kx)))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 kx)))))
(* -1/4 (/ Om (* l (sin kx))))
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(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 kx))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 kx))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 kx))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1/4 (/ Om (* l (sin kx))))
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(/ (+ (* -1/4 (/ Om (sin kx))) (* 1/2 l)) l)
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(/ (+ (* -1/4 (/ Om (sin kx))) (* 1/2 l)) l)
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(/ (+ (* -1/4 (/ Om (sin kx))) (* 1/2 l)) l)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (sin.f64 kx)) (*.f64 l #s(literal 1/2 binary64))) l)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64))
(* -1/4 (/ Om (* kx l)))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l kx))
(/ (+ (* -1/4 (/ Om l)) (* 1/2 kx)) kx)
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(/ (+ (* -1/4 (/ Om l)) (* kx (+ 1/2 (* -1/24 (/ (* Om kx) l))))) kx)
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(/ (+ (* -1/4 (/ Om l)) (* kx (+ 1/2 (* kx (+ (* -1/24 (/ Om l)) (* 1/4 (* (pow kx 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))))) kx)
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin kx)))))
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(* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))
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(* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/16 (* (/ (pow Om 5) (* (pow l 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (/ (sqrt -1) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
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(* -1 (* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
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1
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1
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1
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 1 binary64))
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(sqrt 1/2)
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1
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -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)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -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))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -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))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
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Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
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(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 Om (.f64 (.f64 l (.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
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(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
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(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (neg.f64 (.f64 (sqrt.f64 (/.f64 Om l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(neg.f64 (.f64 Om (fma.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l))))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) Om)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 Om #s(literal 5 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l Om))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
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1/2
#s(literal 1/2 binary64)
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))
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(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* Om (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(pow ky 2)
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(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
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(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 l (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64)))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 l (.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))) (.f64 l (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))
(+ (* l (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* 1/2 (* l (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* (pow kx 2) (+ (* -1/2 (* (* l (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (* (* (pow kx 2) (* l (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))) (.f64 (.f64 l (.f64 kx kx)) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64)))) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))) (.f64 #s(literal -1/2 binary64) (.f64 l (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))))) (.f64 (.f64 l #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))) (.f64 l (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal -1/2 binary64))))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(* l (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))
(+ 1 (cos (* -2 kx)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 ky ky) (cos.f64 (.f64 #s(literal -2 binary64) kx))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/3 binary64) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -2 binary64) kx))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ 1 (cos (* -2 ky)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 kx kx) (cos.f64 (.f64 #s(literal -2 binary64) ky))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal 2/3 binary64) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -2 binary64) ky))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))

eval376.0ms (2.6%)

Memory: 49.2MiB live, 386.1MiB allocated
Compiler: Compiled 54 789 to 5 224 computations (90.5% saved)

prune237.0ms (1.7%)

Memory

10.0MiB live, 319.4MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 679	4	1 683
Fresh	0	4	4
Picked	4	1	5
Done	0	3	3
Total	1 683	12	1 695

Accuracy

100.0%

Counts

1 695 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.7%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
	43.4%	(sqrt.f64 (fma.f64 (/.f64 Om (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
	83.4%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.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 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	83.1%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	49.3%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	48.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	34.0%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	58.0%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 Om Om)) (.f64 l (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	89.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) (.f64 l #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	93.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (*.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	57.3%	(sqrt.f64 #s(literal 1/2 binary64))
✓	61.5%	#s(literal 1 binary64)

Compiler

Compiled 765 to 361 computations (52.8% saved)

regimes156.0ms (1.1%)

Memory

-52.9MiB live, 293.6MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

19 calls:

13.0ms	(+.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))))))))
13.0ms	(sin.f64 ky)
11.0ms	(*.f64 #s(literal 2 binary64) l)
9.0ms	kx
8.0ms	l

Results

Accuracy	Segments	Branch
98.8%	1	`l`
98.8%	1	`Om`
98.8%	1	`kx`
98.8%	1	`ky`
98.8%	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))))))))))`
98.8%	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)))))))))`
98.8%	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))))))))`
98.8%	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)))))))`
98.8%	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))))))`
98.8%	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)))))`
98.8%	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))))`
98.8%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.8%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.8%	1	`(*.f64 #s(literal 2 binary64) l)`
98.8%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
98.8%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
98.8%	1	`(sin.f64 kx)`
98.8%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.8%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes141.0ms (1%)

Memory

12.0MiB live, 246.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

(sqrt.f64 #s(literal 1/2 binary64))

Calls

19 calls:

11.0ms	l
10.0ms	(*.f64 #s(literal 2 binary64) l)
9.0ms	ky
9.0ms	(sin.f64 kx)
8.0ms	(.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))))

Results

Accuracy	Segments	Branch
93.7%	1	`l`
95.6%	2	`Om`
93.7%	1	`kx`
97.9%	3	`ky`
98.9%	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))))))))))`
98.9%	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)))))))))`
98.9%	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))))))))`
98.9%	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)`
93.7%	1	`(*.f64 #s(literal 2 binary64) l)`
97.9%	3	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
93.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
93.7%	1	`(sin.f64 kx)`
97.9%	3	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
97.7%	3	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes37.0ms (0.3%)

Memory

8.4MiB live, 82.2MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

(sqrt.f64 #s(literal 1/2 binary64))

Calls

5 calls:

10.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
7.0ms	(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))))))
7.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
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
99.7%	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))))))`
99.7%	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)))))`
99.7%	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))))`
99.7%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
99.7%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 88 to 62 computations (29.5% saved)

regimes21.0ms (0.2%)

Memory

0.7MiB live, 39.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(+.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	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
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	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #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
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))))`
98.0%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.0%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 88 to 62 computations (29.5% saved)

regimes20.0ms (0.1%)

Memory

-6.3MiB live, 35.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	(.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)))))))))
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	(/.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)))))))
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)))))
2.0ms	(+.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))))))))

Results

Accuracy	Segments	Branch
98.0%	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))))))))))`
98.0%	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)))))))))`
98.0%	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))))))))`
98.0%	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)))))))`
98.9%	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))))))`
98.9%	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)))))`
98.9%	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 187 to 127 computations (32.1% saved)

regimes6.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(sqrt.f64 #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
98.9%	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))))))`
98.9%	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)))))`
98.9%	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)

regimes26.0ms (0.2%)

Memory

-13.5MiB live, 64.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

19 calls:

2.0ms	l
2.0ms	(+.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))))))))
1.0ms	(+.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))
1.0ms	(.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))))

Results

Accuracy	Segments	Branch
61.5%	1	`l`
61.5%	1	`kx`
61.5%	1	`(*.f64 #s(literal 2 binary64) l)`
61.5%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
61.5%	1	`(sin.f64 kx)`
61.5%	1	`Om`
61.5%	1	`(sin.f64 ky)`
61.5%	1	`ky`
61.5%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
61.5%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
61.5%	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))))))))))`
61.5%	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)))))))))`
61.5%	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))))))))`
61.5%	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)))))))`
61.5%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
61.5%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
61.5%	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))))))`
61.5%	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)))))`
61.5%	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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5801341526937042e+60	1.1972221200860416e+61

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	1.5801341526937042e+60	1.1972221200860416e+61

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	0.011490493038907848	421.1107062551945

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.011490493038907848	421.1107062551945

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	0.011490493038907848	421.1107062551945

Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	197
1	94	197

Stop Event

1×

saturated

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))))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 1999999999999999898774270594148037733927290022026820146167808 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 (+.f64 #s(literal 1/2 binary64) (.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)))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #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 5764607523034235/288230376151711744 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #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 5764607523034235/288230376151711744 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #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 5764607523034235/288230376151711744 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 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))))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 1999999999999999898774270594148037733927290022026820146167808 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 (+.f64 #s(literal 1/2 binary64) (.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)))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (/.f64 l Om) #s(literal 4 binary64)) #s(literal 1 binary64)))))) (sqrt.f64 #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 5764607523034235/288230376151711744 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #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 5764607523034235/288230376151711744 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #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 5764607523034235/288230376151711744 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness1.0s (7.3%)

Memory

25.5MiB live, 857.1MiB allocated

Rules

11 696×	`lower-fma.f64`
11 696×	`lower-fma.f32`
9 134×	`lower-fma.f64`
9 134×	`lower-fma.f32`
8 910×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	405
0	108	390
1	404	389
2	2745	389
0	9391	389
0	582	10419
1	1932	10186
2	7931	10184
0	8041	9659
0	54	354
0	104	354
1	371	322
2	2654	318
0	8201	312
0	21	116
0	37	116
1	129	113
2	924	113
0	8513	109
0	48	356
0	94	356
1	343	338
2	3010	311
0	8824	296
0	1512	19346
1	5004	19187
0	8242	17996

Stop Event

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

Compiler

Compiled 335 to 192 computations (42.7% saved)

preprocess192.0ms (1.3%)

Memory

-5.7MiB live, 196.9MiB allocated

Remove

(sort kx ky)

(abs kx)

(abs ky)

Compiler

Compiled 1 924 to 1 140 computations (40.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze140.0ms (1%)

sample2.0s (13.8%)

preprocess285.0ms (2%)

explain596.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify193.0ms (1.4%)

localize72.0ms (0.5%)

series110.0ms (0.8%)

rewrite520.0ms (3.6%)

simplify503.0ms (3.5%)

eval202.0ms (1.4%)

prune206.0ms (1.4%)

simplify564.0ms (4%)

localize522.0ms (3.7%)

series356.0ms (2.5%)

rewrite460.0ms (3.2%)

simplify550.0ms (3.9%)

eval374.0ms (2.6%)

prune468.0ms (3.3%)

simplify369.0ms (2.6%)

localize303.0ms (2.1%)

series270.0ms (1.9%)

rewrite322.0ms (2.3%)

simplify500.0ms (3.5%)

eval196.0ms (1.4%)

prune139.0ms (1%)

simplify260.0ms (1.8%)

localize246.0ms (1.7%)

series207.0ms (1.5%)

rewrite461.0ms (3.2%)

simplify633.0ms (4.4%)

eval376.0ms (2.6%)

prune237.0ms (1.7%)

regimes156.0ms (1.1%)

regimes141.0ms (1%)

regimes37.0ms (0.3%)

regimes21.0ms (0.2%)

regimes20.0ms (0.1%)

regimes6.0ms (0%)

regimes26.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (7.3%)

preprocess192.0ms (1.3%)

end0.0ms (0%)

Profiling