Metrics for Toniolo and Linder, Equation (3a)

analyze238.0ms (1.6%)

Memory

-5.1MiB live, 310.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.5s (17.4%)

Memory

-87.0MiB live, 3 921.3MiB allocated

Samples

1.7s

8 256×

valid

Precisions

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

ival-sin: 375.0ms (27.1% of total)

ival-pow2: 317.0ms (22.9% of total)

ival-div: 214.0ms (15.5% of total)

ival-mult: 205.0ms (14.8% of total)

ival-sqrt: 140.0ms (10.1% of total)

ival-add: 116.0ms (8.4% of total)

exact: 8.0ms (0.6% of total)

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

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

Bogosity

preprocess242.0ms (1.7%)

Memory

20.4MiB live, 337.4MiB 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)

explain468.0ms (3.2%)

Memory

7.9MiB live, 644.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
32	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
14	-	-	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	-	-	`(/.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	32	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	22
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	26
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	54
↳	`(+.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	54
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	63
`*.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**	5	0
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	26
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	63
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	119
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	22
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	22
`*.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**	3	0

Confusion

	Predicted +	Predicted -
+	7	1
-	33	215

Precision

0.175

Recall

0.875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	1
-	33	0	215

Precision?

0.175

Recall?

0.875

Freqs

test

number	freq
0	216
1	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sin: 23.0ms (31.7% of total)

ival-pow2: 14.0ms (19.3% of total)

ival-div: 12.0ms (16.5% of total)

ival-mult: 8.0ms (11% of total)

ival-add: 7.0ms (9.6% of total)

ival-sqrt: 7.0ms (9.6% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-assert: 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
▶	96.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Status

Accuracy

Program

▶

96.9%

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

simplify243.0ms (1.7%)

Memory

3.4MiB live, 356.4MiB 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

localize139.0ms (1%)

Memory

-14.1MiB live, 178.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.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	99.3%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.0%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	88.3%	(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

100.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sin: 14.0ms (25.9% of total)

ival-sqrt: 10.0ms (18.5% of total)

ival-pow2: 9.0ms (16.7% of total)

ival-div: 7.0ms (13% of total)

ival-add: 7.0ms (13% of total)

ival-mult: 6.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.5%)

Memory

12.7MiB live, 130.6MiB 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 (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)))))))>

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 (/ (+ (* -1/16 (* (/ (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 (* (/ (+ (* -1/64 (/ (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 (* (/ (+ (* -1/64 (/ (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 (* -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))))))>

Calls

69 calls:

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

rewrite518.0ms (3.5%)

Memory

36.5MiB live, 736.3MiB 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))))
(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)))))))

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

simplify440.0ms (3%)

Memory

-27.2MiB live, 696.3MiB 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	7935	10184
0	8045	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))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(+ 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 ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))))
(* 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)))
(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)
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))))))

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

eval182.0ms (1.2%)

Memory: 10.8MiB live, 245.5MiB allocated
Compiler: Compiled 46 115 to 5 334 computations (88.4% saved)

prune125.0ms (0.9%)

Memory

17.5MiB live, 255.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	908	7	915
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	909	7	916

Accuracy

99.7%

Counts

916 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.8%	(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)))
	45.3%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64)))))))
▶	91.3%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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)))))))
	73.8%	(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)) (.f64 ky ky)))))))))
▶	95.7%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
▶	66.0%	(sqrt.f64 #s(literal 1 binary64))
▶	52.6%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 342 to 242 computations (29.2% saved)

simplify491.0ms (3.4%)

Memory

-10.2MiB live, 549.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

13 234×	`lower-fma.f32`
13 228×	`lower-fma.f64`
4 860×	`lower-*.f32`
4 838×	`lower-*.f64`
3 218×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	642
0	104	642
1	180	618
2	467	602
3	1828	602
4	4775	602
5	7123	602
6	7339	602
7	7374	602
8	7397	602
9	7413	602
0	8220	586

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

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

localize584.0ms (4%)

Memory

0.4MiB live, 473.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.9%	(.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	88.3%	(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	79.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	70.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	99.3%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	92.7%	(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	88.2%	(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	80.5%	(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	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.3%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.0%	(.f64 (/.f64 (.f64 l (*.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	91.5%	(/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om)
✓	accuracy	88.3%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (*.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Samples

188.0ms	84×	2	valid
107.0ms	90×	1	valid
69.0ms	21×	3	valid
41.0ms	61×	0	valid

Compiler

Compiled 657 to 58 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-add: 82.0ms (24.2% of total)

ival-mult: 70.0ms (20.6% of total)

ival-cos: 66.0ms (19.5% of total)

ival-sqrt: 30.0ms (8.8% of total)

adjust: 29.0ms (8.6% of total)

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

ival-sin: 21.0ms (6.2% of total)

ival-pow2: 16.0ms (4.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series183.0ms (1.3%)

Memory

3.8MiB live, 120.4MiB allocated

Counts

22 → 672

Calls

Call 1

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

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))))>
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#<alt (* (pow l 2) (+ (* 4 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (/ 1 (pow l 2))))>
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#<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))))>
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#<alt 1>
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#<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)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
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#<alt (+ 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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#<alt 1>
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#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))>
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#<alt (sqrt 1/2)>
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#<alt 1>
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#<alt (+ 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))))))))))>
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#<alt (sqrt 1/2)>
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#<alt (+ (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))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
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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>
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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>
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#<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))))))>
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#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))>
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#<alt 1>
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#<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)))))))))))>
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#<alt 1/2>
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#<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>
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#<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))))>
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#<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>
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#<alt 1>
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#<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>
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#<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>
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#<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>
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#<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)))))))))))))>
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#<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))))))>
#<alt 1>
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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))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))>
#<alt (+ (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)))))))))>
#<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)))))))))))>
#<alt (+ (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)))))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 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))))) (* 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)))))))))>
#<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)))))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<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))>
#<alt (+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))>
#<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)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))>
#<alt (+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))>
#<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)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>

Calls

168 calls:

Time	Variable		Point	Expression
25.0ms	ky	@	-inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)))) 1/2))
25.0ms	kx	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)))))
17.0ms	kx	@	0	(sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1))
9.0ms	ky	@	inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)))) 1/2))
3.0ms	ky	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)))))

rewrite391.0ms (2.7%)

Memory

23.0MiB live, 582.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 326×	`lower-*.f32`
6 306×	`lower-*.f64`
3 754×	`lower-/.f32`
3 742×	`lower-/.f64`
2 594×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	354
0	100	354
1	370	337
2	3362	312
0	10354	294

Stop Event

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

Counts

22 → 529

Calls

Call 1

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

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

simplify530.0ms (3.6%)

Memory

-29.8MiB live, 885.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 764×	`lower-fma.f64`
8 764×	`lower-fma.f32`
6 460×	`lower-*.f64`
6 460×	`lower-*.f32`
5 952×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1439	21240
1	4824	20783
0	8063	19523

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

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))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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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)))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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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))))
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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) (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)))))
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 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))))
(* 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)))
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(+ (* 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)))
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(* 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 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)
1
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1
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1
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1
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(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
(/ (pow (sin ky) 2) (pow Om 2))
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(* (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)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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1
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(+ 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)))))
(/ (* 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)

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))))
(fma.f64 (.f64 l l) (/.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))) (* -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 #s(literal -1/4 binary64) (.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 -12 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) (fma.f64 (.f64 l l) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (.f64 (.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 -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 -12 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 Om (pow.f64 l #s(literal 5 binary64))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 Om (pow.f64 l #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) l))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 Om (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l) (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 l (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) #s(literal 1/2 binary64))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))
(fma.f64 Om (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 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 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) l))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.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 (+ (* -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)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.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 l #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (.f64 l l) (/.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 (+ (* -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))))))
(fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.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 l #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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 l #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64)))) (fma.f64 (.f64 l l) (/.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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.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 (+ (* -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)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.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 l #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (.f64 l l) (/.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)))
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1
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(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
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(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
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(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)))
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(+ (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))))))))
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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 (+ (* -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)))))
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(+ 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))))))
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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 (+ (* -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)))))
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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)))))
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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)
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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1/2
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(/ (+ (* -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)
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1
#s(literal 1 binary64)
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(* 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))))))
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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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1/2
#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
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(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (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 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (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 2 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 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 Om Om))) #s(literal 1 binary64))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (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))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(.f64 l (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (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))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l 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))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(.f64 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 (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 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (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))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l 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)))))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (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))))
(* -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)))))))))))))
(.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 (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 3 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (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))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l 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)))))))) (neg.f64 l))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (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))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (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 (.f64 Om Om) l)) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (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))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
(/.f64 (fma.f64 (.f64 Om Om) (fma.f64 #s(literal 1/4 binary64) (/.f64 (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)))) l) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (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))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l (sqrt.f64 (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 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64)))) (.f64 l (.f64 l l))) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (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)))) l))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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) (+.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 (+ (* -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)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (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 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 2 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 (+ (* -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))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (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 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.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))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (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 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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) (+.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 (+ (* -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)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (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 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 2 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 (+ (* -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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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.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)))
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(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) 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 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) 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 #s(literal 2/45 binary64) (/.f64 (.f64 l (*.f64 ky ky)) Om))) (/.f64 l Om))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (.f64 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))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (.f64 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))) Om)

eval182.0ms (1.2%)

Memory: 29.8MiB live, 424.0MiB allocated
Compiler: Compiled 52 553 to 5 380 computations (89.8% saved)

prune176.0ms (1.2%)

Memory

-12.6MiB live, 342.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 216	7	1 223
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	1 222	8	1 230

Accuracy

99.7%

Counts

1 230 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	75.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))))
	91.3%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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)))))))
▶	73.4%	(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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
	76.4%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
▶	95.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
✓	52.6%	(sqrt.f64 #s(literal 1/2 binary64))
▶	66.0%	#s(literal 1 binary64)

Compiler

Compiled 372 to 276 computations (25.8% saved)

simplify209.0ms (1.4%)

Memory

13.3MiB live, 307.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 968×	`lower-*.f32`
4 942×	`lower-*.f64`
3 980×	`lower-fma.f32`
3 970×	`lower-fma.f64`
2 280×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	630
0	108	630
1	195	622
2	431	622
3	1100	622
4	2747	622
5	4135	622
6	4924	622
7	5741	622
8	6243	622
9	6655	622
10	7055	622
0	9370	602

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

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

localize434.0ms (3%)

Memory

-30.5MiB live, 609.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.0%	(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
✓	accuracy	90.9%	(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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))
✓	accuracy	90.4%	(.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	76.7%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	94.3%	(.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	88.2%	(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 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	79.8%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	77.0%	(/.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))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.8%	(*.f64 l (sin.f64 ky))
✓	accuracy	98.1%	(/.f64 Om (*.f64 l (sin.f64 ky)))
✓	accuracy	89.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (*.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
✓	accuracy	95.1%	(.f64 (/.f64 (.f64 l (*.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	92.1%	(/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om)
✓	accuracy	88.3%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (*.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Samples

119.0ms	71×	2	valid
94.0ms	85×	1	valid
36.0ms	49×	0	invalid
28.0ms	43×	0	valid
13.0ms	5×	4	valid
6.0ms	2×	5	exit
2.0ms	1×	3	valid

Compiler

Compiled 638 to 63 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-mult: 69.0ms (29% of total)

ival-cos: 51.0ms (21.4% of total)

ival-div: 28.0ms (11.8% of total)

ival-add: 23.0ms (9.7% of total)

ival-sqrt: 22.0ms (9.2% of total)

adjust: 19.0ms (8% of total)

ival-sin: 17.0ms (7.1% of total)

ival-pow2: 8.0ms (3.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series144.0ms (1%)

Memory

6.2MiB live, 198.4MiB allocated

Counts

28 → 924

Calls

Call 1

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

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

Calls

231 calls:

Time	Variable		Point	Expression
19.0ms	ky	@	0	(+ (* 1/4 (/ Om (* l (sin ky)))) 1/2)
6.0ms	Om	@	inf	(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (/ (* l (+ (* -1/2 (cos (* kx -2))) 1/2)) Om)) 1))))))
3.0ms	kx	@	0	(sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* (/ (* l (* (/ l Om) 4)) Om) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
3.0ms	ky	@	0	(sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* (/ (* l (* (/ l Om) 4)) Om) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
2.0ms	Om	@	-inf	(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ (* 4 (/ (* (* l l) (+ (* -1/2 (cos (* ky -2))) 1/2)) (* Om Om))) 1))))))

rewrite342.0ms (2.3%)

Memory

35.0MiB live, 628.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 804×	`lower-*.f32`
4 778×	`lower-*.f64`
3 502×	`lower-/.f32`
3 486×	`lower-/.f64`
3 086×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	445
0	108	445
1	380	429
2	2741	429
0	8701	424

Stop Event

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

Counts

28 → 704

Calls

Call 1

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

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

simplify507.0ms (3.5%)

Memory

8.7MiB live, 842.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 546×	`lower-*.f64`
8 546×	`lower-*.f32`
6 090×	`lower-fma.f64`
6 090×	`lower-fma.f32`
3 648×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1938	30720
1	6488	30345
0	8067	28515

Stop Event

1×	iter limit
1×	node limit

Counts

924 → 923

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)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
(/ (+ (* 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
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(+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
1
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(sqrt 1/2)
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(sqrt 1/2)
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(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt 2))
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(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))))) (/ (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow kx 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
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1/2
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1/2
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1
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1
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1
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1
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1
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1/2
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1/2
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1
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(+ 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))))))
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)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 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 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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))))) (pow Om 2)))))) (* 1/2 (- (* -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))))))))))
(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))))))))))
(+ (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)))))))) (* 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)))))) (* (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 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))))
(+ 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) (+ 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))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (* (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)))))))))
(+ 1/2 (* (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))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 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 (* (/ (+ (* -1/64 (/ (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 (* (/ (+ (* -1/64 (/ (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))))))) (+ (* -1/2 (* (/ (+ (* 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))))))) (+ (* -1/32 (* (/ (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)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* -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 (/ (+ (* -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 (/ (+ (* -1/2 (* (/ (+ (* -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))))))) (+ (* -1/2 (* (/ (+ (* 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))))))) (+ (* -1/32 (* (/ (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 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (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))))))))))
(+ 1/2 (* (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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* 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))))))))))
(* 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)))))))))
(* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -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)))))
(+ 1/2 (+ (* -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))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -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)))))
(+ 1/2 (+ (* -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 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(* 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))))
(* 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
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
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) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))
1
(+ 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 (/ (* (+ 1/2 (* -1/2 (cos (* -2 kx)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -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)))
1/2
(+ 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) (* (+ 1/2 (* -1/2 (cos (* -2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -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) (* (+ 1/2 (* -1/2 (cos (* -2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow 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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2))))))))
(* 1/2 (+ 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))))))))
(* 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))))))))
(* 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))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (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 kx))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3) (pow Om 6))))) (* -1 (/ (* (+ 1/2 (* -1/2 (cos (* -2 kx)))) (- (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2) (pow Om 4))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) 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 kx)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 kx)))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 kx)))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx 2) (* (pow l 2) (sqrt 1/2))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1 (/ (* (pow l 2) (sqrt 1/2)) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow kx 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 kx 2) (+ (* -1 (/ (* (pow l 2) (sqrt 1/2)) (* (pow Om 2) (sqrt 2)))) (* (pow kx 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 kx 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 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)) (pow Om 4))) (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) (pow Om 6))))))))
(* 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))))))
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 l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(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))))
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
(+ 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))))))
(* 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))))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow ky 2) (pow l 2))
(* (pow ky 2) (+ (* -1/3 (* (pow ky 2) (pow l 2))) (pow l 2)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow ky 2) (pow l 2))))) (pow l 2)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) (pow l 2))) (* 2/45 (pow l 2)))))) (pow l 2)))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(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 (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* (pow kx 2) l)
(* (pow kx 2) (+ l (* -1/3 (* (pow kx 2) l))))
(* (pow kx 2) (+ l (* (pow kx 2) (+ (* -1/3 l) (* 2/45 (* (pow kx 2) l))))))
(* (pow kx 2) (+ l (* (pow kx 2) (+ (* -1/3 l) (* (pow kx 2) (+ (* -1/315 (* (pow kx 2) l)) (* 2/45 l)))))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 kx)))))
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))))))))))))
(* 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 (/ (* (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 (* -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)))))
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* (pow kx 2) l) Om)
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 kx))))) Om)

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 #s(literal -1/4 binary64) (.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 -12 binary64)) (neg.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)))) #s(literal 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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1/2
#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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(sqrt 1/2)
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(sqrt 1/2)
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(sqrt 1/2)
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(* (sqrt 1/2) (sqrt 2))
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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) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (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 1/2)
(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) (* 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))))))))
(fma.f64 Om (fma.f64 #s(literal -1/128 binary64) (/.f64 Om (.f64 (.f64 l l) (.f64 (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 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 (-.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) 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 l l) (.f64 (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)))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
(.f64 Om (.f64 #s(literal 1/2 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)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3)))))))
(.f64 Om (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 1/2 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))))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))))
(.f64 Om (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)))) (fma.f64 #s(literal 1/2 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) (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))))))))
(* -1 (* (sqrt (/ Om (* l (sin ky)))) (* (sqrt -1) (sqrt -1/4))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 (neg.f64 Om) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 (neg.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 (sqrt.f64 #s(literal -1 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)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (neg.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 (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 (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 (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 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin ky)) Om)))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky))) (sqrt.f64 (.f64 (.f64 l (*.f64 l l)) (/.f64 (sin.f64 ky) Om))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3)))) (* 1/2 (sqrt (/ (sin ky) (* Om l))))))) l)
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(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)))
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(+ (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))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
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(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)))
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(* 1/2 (sqrt (/ Om (* ky l))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(* 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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(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
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(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
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(* 1/4 (/ Om (* l (sin ky))))
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(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
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(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
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(* 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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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(* 1/4 (/ Om (* ky l)))
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1/2
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1
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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
#s(literal 1 binary64)
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(sqrt 1/2)
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1
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1/2
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1/2
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(* 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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(* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
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1/2
#s(literal 1/2 binary64)
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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
#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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1/2
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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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(* (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 kx))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))
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(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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 kx)))))) (* (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 kx)))))) (* (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 kx 2) (* (pow l 2) (sqrt 1/2))) (* (pow Om 2) (sqrt 2)))) (* (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 kx))))) (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 kx))))) (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 kx))))) (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 kx))))) (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 kx))))) (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 kx))))) (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 kx))))) (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 kx))))) (pow Om 2)))))))))
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1
#s(literal 1 binary64)
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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))))))))
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(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* (/ 1 Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* -2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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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 (/ (+ (* -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))
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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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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
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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))))
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(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)
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(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om))
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
(.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal -1/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) (.f64 l l)) (.f64 Om Om))) (/.f64 (.f64 l l) (.f64 Om Om))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))
(.f64 (.f64 ky ky) (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 -1/315 binary64) (/.f64 (.f64 (.f64 l l) #s(literal 2/45 binary64)) (.f64 Om Om))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 Om Om))) (/.f64 (.f64 l l) (.f64 Om Om))))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.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))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
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1
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(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
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(* -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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(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
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(/ (+ (* 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)
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(/ (+ (* 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)
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(/ (+ (* 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)
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1
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(+ 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))))))
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1
#s(literal 1 binary64)
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(+ 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))))))
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1
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(fma.f64 #s(literal 2 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -4/3 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 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))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal 8/45 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -4/3 binary64) (.f64 #s(literal -4 binary64) (/.f64 (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 -4/3 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 1 binary64))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 kx))))) (pow Om 2)))))
(sqrt.f64 (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)))
(/ (* 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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow kx 2) l) Om)
(/.f64 (.f64 l (.f64 kx kx)) Om)
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l 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)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 l Om) #s(literal -1/3 binary64) (/.f64 (.f64 #s(literal 2/45 binary64) (.f64 l (.f64 kx kx))) Om)) (/.f64 l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/315 binary64) (/.f64 (.f64 l (.f64 kx kx)) Om) (/.f64 (.f64 l #s(literal 2/45 binary64)) Om)) (/.f64 (.f64 l #s(literal -1/3 binary64)) Om)) (/.f64 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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)

eval316.0ms (2.2%)

Memory: -13.0MiB live, 329.1MiB allocated
Compiler: Compiled 66 495 to 6 880 computations (89.7% saved)

prune206.0ms (1.4%)

Memory

15.5MiB live, 254.8MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 640	5	1 645
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1 643	10	1 653

Accuracy

99.7%

Counts

1 653 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	(fma.f64 #s(literal -1/2 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))
	43.5%	(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	14.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
✓	43.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	47.3%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
▶	89.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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)))))))
▶	76.4%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
✓	95.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
✓	52.6%	(sqrt.f64 #s(literal 1/2 binary64))
✓	66.0%	#s(literal 1 binary64)

Compiler

Compiled 340 to 254 computations (25.3% saved)

simplify481.0ms (3.3%)

Memory

8.6MiB live, 462.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

16 694×	`lower-fma.f32`
16 680×	`lower-fma.f64`
4 226×	`lower-*.f32`
4 196×	`lower-*.f64`
3 954×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	596
0	114	596
1	200	592
2	485	592
3	1574	592
4	3395	592
5	6162	592
6	7842	592
7	7994	592
0	8044	573

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

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

localize647.0ms (4.4%)

Memory

-11.0MiB live, 573.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.9%	(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 ky ky))) #s(literal 1 binary64))
✓	accuracy	83.2%	(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 ky ky))) #s(literal 1 binary64)))
✓	accuracy	78.9%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))
✓	accuracy	70.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	99.8%	(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	73.6%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	70.8%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	56.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(cos.f64 (*.f64 ky #s(literal -2 binary64)))
✓	accuracy	94.3%	(.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	79.5%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	72.8%	(/.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))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 l ky)
✓	accuracy	92.7%	(/.f64 Om (*.f64 l ky))
✓	accuracy	91.1%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
✓	accuracy	96.3%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om)
✓	accuracy	94.1%	(fma.f64 (.f64 l (/.f64 (.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))
✓	accuracy	88.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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))))
✓	accuracy	79.5%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

288.0ms	115×	2	valid
87.0ms	63×	1	valid
68.0ms	60×	0	valid
28.0ms	13×	3	valid
11.0ms	4×	4	valid
3.0ms	1×	5	exit

Compiler

Compiled 604 to 67 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-cos: 116.0ms (29.7% of total)

ival-mult: 94.0ms (24.1% of total)

ival-div: 72.0ms (18.5% of total)

ival-sqrt: 50.0ms (12.8% of total)

ival-add: 30.0ms (7.7% of total)

adjust: 27.0ms (6.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series196.0ms (1.3%)

Memory

24.9MiB live, 172.5MiB allocated

Counts

29 → 828

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 l (/.f64 (.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))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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)))))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))>
#<alt (/.f64 Om (*.f64 l ky))>
#<alt (*.f64 l ky)>
#<alt (fma.f64 #s(literal -1/2 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))>
#<alt (/.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))>
#<alt (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 l l)>
#<alt (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))>
#<alt (/.f64 (*.f64 #s(literal 1/4 binary64) Om) l)>
#<alt (*.f64 #s(literal 1/4 binary64) Om)>
#<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 ky ky))) #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 Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.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 ky ky))>
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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))))>
#<alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om)>
#<alt (cos.f64 (*.f64 ky #s(literal -2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))>
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))>
#<alt (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))>
#<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 ky ky))) #s(literal 1 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)))))>
#<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))) (* -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))))))>
#<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)))))>
#<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))) (* -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))))))>
#<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) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))>
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#<alt (* 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 (* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))>
#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (sqrt 1/2)>
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#<alt (* 1/2 (sqrt (/ Om (* ky l))))>
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#<alt (* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))>
#<alt (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ Om l))))>
#<alt (/ (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l))))) l)>
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#<alt (/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)>
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#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) l)))>
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#<alt (/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* 1/2 (sqrt (/ (* (pow kx 3) l) Om)))) kx)>
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#<alt 1/2>
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#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))>
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#<alt (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))>
#<alt (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))>
#<alt (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))>
#<alt (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))>
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#<alt (* 1/4 (/ Om (* kx l)))>
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#<alt (* 1/4 Om)>
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#<alt (* 1/4 Om)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))>
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#<alt 1>
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#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
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#<alt (+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 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 ky 2) (pow l 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)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))>
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#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))>
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#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
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#<alt (* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))>
#<alt 1>
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#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))))))))))>
#<alt 1/2>
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#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))) l)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))>
#<alt (+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (pow Om 6))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 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 ky 2) (pow l 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))>
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#<alt (+ (* -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)))))))))>
#<alt (+ (* 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 (/ (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))))))))))>
#<alt (+ (* 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 (/ (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) (+ (* 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 (/ (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))))))) (* 64 (/ (pow l 6) (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 4)))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ Om (* ky l))))>
#<alt (+ 1/2 (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))) (* 1/256 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ Om (* ky l))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))) (* 1/256 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))>
#<alt (pow ky 2)>
#<alt (+ (pow kx 2) (pow ky 2))>
#<alt (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))>
#<alt (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))>
#<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)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))>
#<alt (* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 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 (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))>
#<alt (/ (+ (* -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 (* (/ (+ (* -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 (* (/ (+ (* -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)>
#<alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))>
#<alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))>
#<alt (* 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))))))))))>
#<alt (* 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 (* 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)))))))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))))))>
#<alt 1>
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#<alt (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))>
#<alt (* -2 (/ (* ky l) Om))>
#<alt (* -1 (* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))>
#<alt (* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))>
#<alt (* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))))>

Calls

207 calls:

Time	Variable		Point	Expression
56.0ms	ky	@	inf	(+ (* -1/2 (/ (* (* l l) (+ (* -1/2 (cos (* ky -2))) 1/2)) (* Om Om))) 1)
21.0ms	kx	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (* ky ky)))) 1)))))
2.0ms	ky	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (* ky ky)))) 1)))))
2.0ms	kx	@	inf	(sqrt (+ (* (/ (* 1/4 Om) l) (sqrt (/ 1 (+ (* -1/2 (cos (* kx -2))) 1/2)))) 1/2))
2.0ms	Om	@	-inf	(sqrt (+ (* (/ (* 1/4 Om) l) (sqrt (/ 1 (+ (* -1/2 (cos (* kx -2))) 1/2)))) 1/2))

rewrite694.0ms (4.7%)

Memory

-74.4MiB live, 753.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 778×	`lower-*.f32`
5 748×	`lower-*.f64`
3 740×	`lower-fma.f32`
3 726×	`lower-fma.f64`
3 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	379
0	112	379
1	398	367
2	3117	364
0	9242	350

Stop Event

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

Counts

29 → 931

Calls

Call 1

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

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

simplify518.0ms (3.5%)

Memory

-13.9MiB live, 912.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 312×	`lower-*.f64`
9 312×	`lower-*.f32`
7 536×	`lower-fma.f64`
7 536×	`lower-fma.f32`
5 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1550	21112
1	4942	20899
0	9152	19359

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

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 (* 1/2 (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
(+ 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)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 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 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -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))))) (pow Om 2)))))) (* 1/2 (- (* -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))))))))))
(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))))))))))
(+ (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)))))))) (* 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)))))) (* (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 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)))
(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 (* -1/2 (/ (* (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) (+ 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)))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (* (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)))))))))
(+ 1/2 (* (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))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 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 (* (/ (+ (* -1/64 (/ (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 (* (/ (+ (* -1/64 (/ (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))))))) (+ (* -1/2 (* (/ (+ (* 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))))))) (+ (* -1/32 (* (/ (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)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* -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 (/ (+ (* -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 (/ (+ (* -1/2 (* (/ (+ (* -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))))))) (+ (* -1/2 (* (/ (+ (* 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))))))) (+ (* -1/32 (* (/ (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))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* 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))))))))))
(* 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)))))))))
(* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -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)))))
(+ 1/2 (+ (* -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))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -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)))))
(+ 1/2 (+ (* -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))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (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))))))))))
(+ 1/2 (* (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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 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 (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))))
(* -1 (* (sqrt (/ Om (* ky l))) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* 1/2 (sqrt (/ (* ky (pow l 3)) Om)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* (pow ky 3) l) (pow Om 3)))) (* 1/2 (sqrt (/ ky (* Om l))))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* 1/2 (sqrt (/ ky (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow ky 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow ky 5) (* (pow Om 5) l))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* ky (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* l (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (* ky (pow l 3)) (pow Om 3)))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) (pow ky 3))))) (* 1/4 (sqrt (/ (pow l 5) (* (pow Om 5) ky))))))))) ky)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* l (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3)))))) ky)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* ky (* (pow l 3) (pow (sqrt 1/2) 5)))))) ky)) (* -1/8 (/ Om (* l (sqrt 1/2))))) ky)))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
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(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
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 (* -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)))
(* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* -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
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1
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(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
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(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(sqrt 1/2)
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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)))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))
(sqrt 1/2)
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) l)))
(* 1/2 (sqrt (/ Om (* kx l))))
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(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ l (* Om kx)))) (* kx (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) kx)))) (* 1/24 (sqrt (/ Om (* kx l))))))))) kx)
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
1/2
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))
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(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 l)) l)
1/2
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1/2
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(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
1
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(/ (+ (* 4 (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 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 ky 2) (pow l 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) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (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 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 ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (pow Om 6))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 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 ky 2) (pow l 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* 4 (/ (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 (/ (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) (+ (* 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 (/ (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))))))) (* 64 (/ (pow l 6) (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 4)))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))) (* 1/256 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))) (* 1/256 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))
(pow ky 2)
(+ (pow kx 2) (pow ky 2))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 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)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(pow ky 2)
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 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))))
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))))))
(/ (pow ky 2) Om)
(* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) Om)) (/ 1 Om)))
(* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) Om)) (* 1/3 (/ 1 Om)))) (/ 1 Om)))
(* (pow ky 2) (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/315 (/ (pow ky 2) Om)) (* 2/45 (/ 1 Om)))) (* 1/3 (/ 1 Om)))) (/ 1 Om)))
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
(/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) Om)
1
(+ 1 (* -2 (pow ky 2)))
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))
(+ 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))
(/ 1 kx)
(/ (+ 1 (* 1/6 (pow kx 2))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 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 (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 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)))))
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* (pow ky 2) l) Om)
(+ (/ (* (pow kx 2) l) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* (pow ky 2) l) Om))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* (pow ky 2) l) Om))
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 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 ky 2) (pow l 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 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 ky 2) (pow l 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* -2 (* (/ (* (pow ky 2) (pow l 4)) (pow Om 4)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 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) (+ (* -2 (* (/ (pow l 4) (pow Om 4)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 4 (* (/ (* (pow ky 2) (pow l 6)) (pow Om 6)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 5))))))))))
(* 2 (/ (* ky l) Om))
(* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))
(* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))
(* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))
(* -2 (/ (* ky l) Om))
(* -1 (* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))
(* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))
(* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))))

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 #s(literal 4 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))
(* (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 #s(literal 4 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))
(* (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 #s(literal 4 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))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 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)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 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)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 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)) (*.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)))))))))
(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 (.f64 Om #s(literal 1/4 binary64)) 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)))))))))))
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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
#s(literal 1 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))
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (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 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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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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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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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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(* 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))))))))))
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(* 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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(* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(.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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(.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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(.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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(.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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(.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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(.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 #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 (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 #s(literal -1/128 binary64) (/.f64 Om (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 #s(literal 1/1024 binary64) (/.f64 Om (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 l (.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (sqrt.f64 (.f64 ky (/.f64 l (.f64 Om (*.f64 Om Om))))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3)))))))
(.f64 Om (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (sqrt.f64 (.f64 ky (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (pow.f64 Om #s(literal 5 binary64)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))))
(.f64 Om (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (pow.f64 Om #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (sqrt.f64 (.f64 ky (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 ky #s(literal 5 binary64)) (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (/ Om (* ky l))) (* (sqrt -1) (sqrt -1/4))))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l ky))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 ky (/.f64 l (.f64 Om (.f64 Om Om))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (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 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 ky (/.f64 l (.f64 Om (.f64 Om Om))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (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 (sqrt.f64 (.f64 (pow.f64 ky #s(literal 5 binary64)) (/.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 (.f64 (sqrt.f64 (.f64 ky (/.f64 l (.f64 Om (.f64 Om Om))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))) (neg.f64 Om))
(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* 1/2 (sqrt (/ (* ky (pow l 3)) Om)))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (.f64 l Om) ky)) (sqrt.f64 (/.f64 (.f64 ky (.f64 l (*.f64 l l))) Om)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* (pow ky 3) l) (pow Om 3)))) (* 1/2 (sqrt (/ ky (* Om l))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 ky (.f64 l Om))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 l (.f64 ky (.f64 ky ky))) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (.f64 l Om) ky)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* 1/2 (sqrt (/ ky (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow ky 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow ky 5) (* (pow Om 5) l))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 ky #s(literal 5 binary64)) (.f64 l (pow.f64 Om #s(literal 5 binary64))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 ky (.f64 l Om))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 l Om) ky)))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* ky (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3)))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l (.f64 ky ky)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* l (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 ky ky) (.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 ky (.f64 ky ky)) (*.f64 l (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) l)) l))
(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (.f64 ky Om) l)) (sqrt.f64 (/.f64 (.f64 l (.f64 ky (*.f64 ky ky))) Om)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (* ky (pow l 3)) (pow Om 3)))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/.f64 (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 ky (.f64 l (.f64 l l))) (.f64 Om (.f64 Om Om)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 ky Om))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (.f64 ky Om) l)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) (pow ky 3))))) (* 1/4 (sqrt (/ (pow l 5) (* (pow Om 5) ky))))))))) ky)
(/.f64 (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 ky Om))) (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 ky (.f64 ky ky))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (.f64 ky (pow.f64 Om #s(literal 5 binary64))))))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 ky Om) l)))) ky)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/1024 binary64) (.f64 Om (.f64 Om Om))) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 l (*.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* l (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3)))))) ky)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 ky (.f64 l l)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) ky))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* ky (* (pow l 3) (pow (sqrt 1/2) 5)))))) ky)) (* -1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 (.f64 ky (.f64 l (.f64 l l))) (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 l l) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) ky)) ky))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(* 1/4 (/ Om (* ky l)))
(/.f64 (.f64 Om #s(literal 1/4 binary64)) (.f64 l ky))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky))))
(* 1/4 (/ Om (* ky l)))
(/.f64 (.f64 Om #s(literal 1/4 binary64)) (.f64 l ky))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky))))
(* 1/4 (/ Om (* ky l)))
(/.f64 (.f64 Om #s(literal 1/4 binary64)) (.f64 l ky))
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
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(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))))
(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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ Om l))))
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(* Om (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l)))))))
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(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l))))))))
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(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(.f64 Om (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))))))))
(* -1 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
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(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l Om))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))))))))))
(* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 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) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l))))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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 -1/4 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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 1/2 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 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 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(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) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 Om Om) (.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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (/.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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 Om (.f64 Om 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) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(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) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 l (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 kx)))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 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) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) l)) l))
(* 1/2 (sqrt (/ Om (* kx l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l kx))))
(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* 1/2 (sqrt (/ (* (pow kx 3) l) Om)))) kx)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 Om (/.f64 kx l))) (sqrt.f64 (/.f64 (.f64 l (.f64 kx (*.f64 kx kx))) Om)))) kx)
(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* (pow kx 2) (+ (* 1/24 (sqrt (/ (* Om kx) l))) (* 1/2 (sqrt (/ l (* Om kx))))))) kx)
(/.f64 (fma.f64 (.f64 kx kx) (fma.f64 (sqrt.f64 (.f64 Om (/.f64 kx l))) #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 Om kx))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 Om (/.f64 kx l))))) kx)
(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ l (* Om kx)))) (* kx (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) kx)))) (* 1/24 (sqrt (/ Om (* kx l))))))))) kx)
(/.f64 (fma.f64 (.f64 kx kx) (fma.f64 kx (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 (.f64 Om (.f64 Om Om)) kx))) (.f64 (sqrt.f64 (/.f64 Om (.f64 l kx))) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 Om kx))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 Om (/.f64 kx l))))) kx)
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(fma.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))
(.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/2 (/ 1 Om))))
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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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1/2
#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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(* 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)
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1
#s(literal 1 binary64)
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1
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(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* (pow ky 2) l) Om)
(/.f64 (.f64 l (.f64 ky ky)) Om)
(+ (/ (* (pow kx 2) l) Om) (/ (* (pow ky 2) l) Om))
(fma.f64 (.f64 ky ky) (/.f64 l Om) (/.f64 (.f64 l (*.f64 kx kx)) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* (pow ky 2) l) Om))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 l (.f64 kx kx)) Om) (/.f64 l Om)) (/.f64 (.f64 l (*.f64 ky ky)) Om))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* (pow ky 2) l) Om))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (/.f64 (.f64 l (.f64 kx kx)) Om) (.f64 #s(literal -1/3 binary64) (/.f64 l Om))) (/.f64 l Om)) (/.f64 (.f64 l (*.f64 ky ky)) Om))
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/.f64 (.f64 l (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (*.f64 ky ky)))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #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 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) 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 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) 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 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om))
(/ (* (pow ky 2) l) Om)
(/.f64 (.f64 l (.f64 ky ky)) Om)
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(.f64 (.f64 ky ky) (fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 Om (*.f64 ky ky))) (/.f64 l Om)))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(.f64 (.f64 ky ky) (fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 Om (*.f64 ky ky))) (/.f64 l Om)))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(.f64 (.f64 ky ky) (fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 Om (*.f64 ky ky))) (/.f64 l Om)))
(/ (* (pow ky 2) l) Om)
(/.f64 (.f64 l (.f64 ky ky)) Om)
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(.f64 (.f64 ky ky) (fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 Om (*.f64 ky ky))) (/.f64 l Om)))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(.f64 (.f64 ky ky) (fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 Om (*.f64 ky ky))) (/.f64 l Om)))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(.f64 (.f64 ky ky) (fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 Om (*.f64 ky ky))) (/.f64 l Om)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (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) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 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) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))) #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) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 Om Om))) #s(literal 1 binary64))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(.f64 l (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
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(* -2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))))
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(* 2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
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(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))) Om)
(/.f64 (fma.f64 (.f64 Om Om) (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky))))) l))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5)))))))))) Om)
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))
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(sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(+ (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)))))))))
(fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om))) (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) (sqrt.f64 (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) kx)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* -2 (* (/ (* (pow ky 2) (pow l 4)) (pow Om 4)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 ky ky) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 Om Om))) (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))) (sqrt.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))
(+ (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) (+ (* -2 (* (/ (pow l 4) (pow Om 4)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 4 (* (/ (* (pow ky 2) (pow l 6)) (pow Om 6)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 5))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 ky ky) (pow.f64 l #s(literal 6 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 5 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 Om Om))) (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))) (sqrt.f64 (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) kx)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))
(* 2 (/ (* ky l) Om))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l ky) Om))
(* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))
(.f64 ky (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 Om (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 Om Om)) Om) (.f64 l (.f64 ky ky))) (*.f64 #s(literal 2 binary64) (/.f64 l Om))))
(* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))
(.f64 ky (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 l (.f64 l l)) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 Om (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 Om Om)) Om) (.f64 l (.f64 ky ky))) (*.f64 #s(literal 2 binary64) (/.f64 l Om)))))
(* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))
(.f64 ky (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 l (.f64 l l)) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 Om (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 Om Om)) Om) (.f64 l (.f64 ky ky))) (*.f64 #s(literal 2 binary64) (/.f64 l Om))))))
(* -2 (/ (* ky l) Om))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 l ky)) Om)
(* -1 (* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 Om (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 Om Om)) Om) (.f64 l (.f64 ky ky))) (*.f64 #s(literal 2 binary64) (/.f64 l Om))) (neg.f64 ky))
(* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 l (.f64 l l)) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 Om (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 Om Om)) Om) (.f64 l (.f64 ky ky))) (*.f64 #s(literal 2 binary64) (/.f64 l Om)))) (neg.f64 ky))
(* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 l (.f64 l l)) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (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) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 Om (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 Om Om)) Om) (.f64 l (.f64 ky ky))) (*.f64 #s(literal 2 binary64) (/.f64 l Om))))) (neg.f64 ky))

eval319.0ms (2.2%)

Memory: 45.3MiB live, 581.2MiB allocated
Compiler: Compiled 69 276 to 7 928 computations (88.6% saved)

prune241.0ms (1.6%)

Memory

11.9MiB live, 445.9MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 796	5	1 801
Fresh	1	0	1
Picked	2	3	5
Done	1	3	4
Total	1 800	11	1 811

Accuracy

100.0%

Counts

1 811 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(fma.f64 #s(literal -1/2 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))
	59.4%	(fma.f64 #s(literal -1/2 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))
✓	43.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	47.3%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
	14.4%	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
	89.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) Om)) (/.f64 (fma.f64 #s(literal 1/4 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)))))) #s(literal -1/4 binary64)) (.f64 Om (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))))
✓	89.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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)))))))
	72.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) Om)) (/.f64 (.f64 ky ky) Om) #s(literal 1 binary64)))))))
	78.7%	(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)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 l Om) (.f64 ky (/.f64 (.f64 l ky) Om))) #s(literal 1 binary64)))))))
✓	52.6%	(sqrt.f64 #s(literal 1/2 binary64))
✓	66.0%	#s(literal 1 binary64)

Compiler

Compiled 793 to 371 computations (53.2% saved)

regimes139.0ms (0.9%)

Memory

-4.0MiB live, 286.6MiB allocated

Counts

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

Outputs

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

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

Calls

19 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`l`
96.9%	1	`Om`
96.9%	1	`kx`
98.8%	2	`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)))))))`
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))))`
98.9%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.9%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
96.9%	1	`(*.f64 #s(literal 2 binary64) l)`
98.8%	2	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
96.9%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
96.9%	1	`(sin.f64 kx)`
98.8%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
96.9%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes62.0ms (0.4%)

Memory

-8.5MiB live, 144.9MiB 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 ky)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) Om)) (/.f64 (.f64 ky ky) 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 -1/2 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))
(fma.f64 #s(literal -1/2 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))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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)))))))
(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 kx #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 (.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 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 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 l Om) (.f64 ky (/.f64 (.f64 l ky) 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)))
(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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) Om)) (/.f64 (fma.f64 #s(literal 1/4 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)))))) #s(literal -1/4 binary64)) (.f64 Om (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (.f64 (/.f64 l Om) #s(literal 4 binary64))) Om) (+.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 (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) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64)))))))

Calls

9 calls:

10.0ms	(.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)))))))))
8.0ms	(/.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)))))))
7.0ms	(.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 (*.f64 #s(literal 2 binary64) l) Om)
6.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.2%	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))))))))))`
98.2%	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)))))))))`
98.2%	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))))))))`
98.2%	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))))`
98.0%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
100.0%	3	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 207 to 142 computations (31.4% saved)

regimes19.0ms (0.1%)

Memory

6.5MiB live, 44.0MiB allocated

Counts

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

Calls

3 calls:

8.0ms

(+.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)))))

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.9%	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)

regimes33.0ms (0.2%)

Memory

-11.8MiB live, 69.1MiB 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 ky)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) Om)) (/.f64 (.f64 ky ky) 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 -1/2 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))
(fma.f64 #s(literal -1/2 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))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.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)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.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)))))))
(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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))

Outputs

(fma.f64 #s(literal -1/2 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))

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

Calls

6 calls:

10.0ms	(+.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)))))
4.0ms	ky
4.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
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))))

Results

Accuracy	Segments	Branch
98.2%	3	`ky`
98.2%	3	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
98.2%	3	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.7%	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))))))`
98.7%	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)))))`
98.7%	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))))`

Compiler

Compiled 94 to 68 computations (27.7% saved)

regimes11.0ms (0.1%)

Memory

-14.4MiB live, 23.4MiB allocated

Counts

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

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

3 calls:

3.0ms

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

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

(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
98.6%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes27.0ms (0.2%)

Memory

33.4MiB live, 71.2MiB 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 ky)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) Om)) (/.f64 (.f64 ky ky) Om) #s(literal 1 binary64)))))))

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

Calls

11 calls:

5.0ms	(*.f64 #s(literal 2 binary64) l)
2.0ms	(sin.f64 ky)
2.0ms	(sin.f64 kx)
2.0ms	kx
2.0ms	l

Results

Accuracy	Segments	Branch
84.2%	2	`l`
83.0%	2	`Om`
74.9%	2	`kx`
95.6%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
84.2%	2	`(*.f64 #s(literal 2 binary64) l)`
75.8%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
76.3%	3	`(sin.f64 kx)`
77.9%	3	`(sin.f64 ky)`
98.3%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 119 to 89 computations (25.2% saved)

regimes17.0ms (0.1%)

Memory

1.3MiB live, 38.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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	(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 #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
95.1%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
97.4%	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))))))))))`
97.4%	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)))))))))`
97.4%	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))))))))`
97.4%	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)))))))`
97.9%	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))))))`
97.9%	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)))))`
97.9%	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 198 to 135 computations (31.8% saved)

regimes36.0ms (0.2%)

Memory

-12.5MiB live, 72.1MiB 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:

10.0ms	(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))))))
4.0ms	l
1.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
1.0ms	(+.f64 #s(literal 1 binary64) (/.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 #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
66.0%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
66.0%	1	`(sin.f64 kx)`
66.0%	1	`kx`
66.0%	1	`(sin.f64 ky)`
66.0%	1	`Om`
66.0%	1	`l`
66.0%	1	`(*.f64 #s(literal 2 binary64) l)`
66.0%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
66.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
66.0%	1	`ky`
66.0%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
66.0%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
66.0%	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))))))))))`
66.0%	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)))))))))`
66.0%	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))))))))`
66.0%	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)))))))`
66.0%	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))))))`
66.0%	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)))))`
66.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 275 to 198 computations (28% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.241917050113837e+125	2.7089715059839563e+129

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.008518271693430576	13707874456.203112

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.008518271693430576	13707874456.203112

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	0.008518271693430576	13707874456.203112

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	0.008518271693430576	13707874456.203112

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.008518271693430576	13707874456.203112

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch21.0ms (0.1%)

Memory

3.0MiB live, 40.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.008518271693430576	13707874456.203112

Samples

13.0ms

160×

valid

Compiler

Compiled 166 to 160 computations (3.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 5.0ms (53.3% of total)

ival-div: 2.0ms (21.3% of total)

ival-add: 1.0ms (10.7% of total)

ival-mult: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-13.7MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
10×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	316
1	92	316

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 5764607523034235/576460752303423488 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 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 5764607523034235/576460752303423488 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))))
(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 5764607523034235/576460752303423488 binary64)) (fma.f64 #s(literal -1/2 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)) (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 5764607523034235/576460752303423488 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 5764607523034235/576460752303423488 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l 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 4278419646001971/1125899906842624 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 #s(literal 2 binary64) (/.f64 l Om))))))))
(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 5764607523034235/576460752303423488 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 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64))))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 5764607523034235/576460752303423488 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 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 #s(literal 2 binary64) (/.f64 l Om))))))))
(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 5764607523034235/576460752303423488 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))))
(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 5764607523034235/576460752303423488 binary64)) (fma.f64 #s(literal -1/2 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)) (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 5764607523034235/576460752303423488 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 5764607523034235/576460752303423488 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l 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 4278419646001971/1125899906842624 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness1.2s (7.9%)

Memory

-11.0MiB live, 1 299.0MiB 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	57	379
0	112	379
1	398	367
2	3117	364
0	9242	350
0	582	10419
1	1932	10186
2	7935	10184
0	8045	9659
0	51	354
0	100	354
1	370	337
2	3362	312
0	10354	294
0	1439	21240
1	4824	20783
0	8063	19523
0	1938	30720
1	6488	30345
0	8067	28515
0	21	116
0	37	116
1	129	113
2	924	113
0	8513	109

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node 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 615 to 309 computations (49.8% saved)

preprocess92.0ms (0.6%)

Memory

-20.8MiB live, 215.7MiB allocated

Remove

(sort kx ky)

(abs kx)

(abs ky)

Compiler

Compiled 1 560 to 648 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze238.0ms (1.6%)

sample2.5s (17.4%)

preprocess242.0ms (1.7%)

explain468.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify243.0ms (1.7%)

localize139.0ms (1%)

series67.0ms (0.5%)

rewrite518.0ms (3.5%)

simplify440.0ms (3%)

eval182.0ms (1.2%)

prune125.0ms (0.9%)

simplify491.0ms (3.4%)

localize584.0ms (4%)

series183.0ms (1.3%)

rewrite391.0ms (2.7%)

simplify530.0ms (3.6%)

eval182.0ms (1.2%)

prune176.0ms (1.2%)

simplify209.0ms (1.4%)

localize434.0ms (3%)

series144.0ms (1%)

rewrite342.0ms (2.3%)

simplify507.0ms (3.5%)

eval316.0ms (2.2%)

prune206.0ms (1.4%)

simplify481.0ms (3.3%)

localize647.0ms (4.4%)

series196.0ms (1.3%)

rewrite694.0ms (4.7%)

simplify518.0ms (3.5%)

eval319.0ms (2.2%)

prune241.0ms (1.6%)

regimes139.0ms (0.9%)

regimes62.0ms (0.4%)

regimes19.0ms (0.1%)

regimes33.0ms (0.2%)

regimes11.0ms (0.1%)

regimes27.0ms (0.2%)

regimes17.0ms (0.1%)

regimes36.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.2s (7.9%)

preprocess92.0ms (0.6%)

end0.0ms (0%)

Profiling