Metrics for Toniolo and Linder, Equation (3a)

analyze140.0ms (0.9%)

Memory

-8.1MiB live, 278.2MiB 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)

sample2.2s (14%)

Memory

24.1MiB live, 3 412.8MiB allocated

Samples

1.7s

8 256×

valid

Precisions

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

ival-sin: 356.0ms (27% of total)

ival-div: 269.0ms (20.4% of total)

ival-pow2: 243.0ms (18.4% of total)

ival-mult: 165.0ms (12.5% of total)

ival-sqrt: 158.0ms (12% of total)

ival-add: 113.0ms (8.6% of total)

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

...in/eval/compile.rkt:110:19: 5.0ms (0.4% of total)

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

Bogosity

preprocess286.0ms (1.8%)

Memory

-4.4MiB live, 439.8MiB allocated

Algorithm

2×	egg-herbie

Rules

5 280×	`-lowering-.f32`
5 280×	`-lowering-.f64`
3 044×	`/-lowering-/.f32`
3 044×	`/-lowering-/.f64`
2 794×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	413
1	345	379
2	894	379
3	3895	379
4	7955	379
0	23	27
1	48	25
2	105	25
3	426	25
4	1730	25
5	3054	25
6	3578	25
7	3814	25
8	4322	25
9	5682	25
10	6674	25
0	10109	24

Stop Event

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

Calls

Call 1

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

Outputs

(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))

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

Call 2

Inputs
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 (neg l)) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) (neg Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 (neg l)) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) (neg Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2))))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2))))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 Om) l) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 kx) Om) 2) (+ (pow (sin l) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 ky) Om) 2) (+ (pow (sin kx) 2) (pow (sin l) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) kx) 2) (+ (pow (sin Om) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) ky) 2) (+ (pow (sin kx) 2) (pow (sin Om) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))))))))

Outputs
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 (neg l)) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) (neg Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 (neg l)) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) (neg Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2))))))))))
(neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(neg (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2))))))))))
(neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 Om) l) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (* 2 (/ Om l)) 2)))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 kx) Om) 2) (+ (pow (sin l) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* 2 (/ kx Om)) 2) (+ (pow (sin ky) 2) (pow (sin l) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 ky) Om) 2) (+ (pow (sin kx) 2) (pow (sin l) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* 2 (/ ky Om)) 2) (+ (pow (sin kx) 2) (pow (sin l) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) kx) 2) (+ (pow (sin Om) 2) (pow (sin ky) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (/ (* 2 l) kx) 2) (+ (pow (sin ky) 2) (pow (sin Om) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) ky) 2) (+ (pow (sin kx) 2) (pow (sin Om) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (/ (* 2 l) ky) 2) (+ (pow (sin kx) 2) (pow (sin Om) 2))))))))
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ 1 (* (pow (* l (/ 2 Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))

Symmetry

(abs l)

(abs Om)

(abs kx)

(abs ky)

(sort kx ky)

explain469.0ms (3%)

Memory

27.3MiB live, 731.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
37	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
10	-	-	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
5	-	-	`(/.f64 #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	37	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	32
↳	`(*.f64 #s(literal 2 binary64) l)`	overflow	1
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	37
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	overflow	69
↳	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	69
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	74
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	*ou**	2	0
↳	`(*.f64 #s(literal 2 binary64) l)`	overflow	1
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	37
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	74
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	106
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	15
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	15
`*.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**	2	0

Confusion

	Predicted +	Predicted -
+	4	3
-	37	212

Precision

0.0975609756097561

Recall

0.5714285714285714

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	3
-	37	0	212

Precision?

0.0975609756097561

Recall?

0.5714285714285714

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

149.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sin: 22.0ms (32.3% of total)

ival-pow2: 13.0ms (19.1% of total)

ival-div: 10.0ms (14.7% of total)

ival-mult: 8.0ms (11.7% of total)

ival-add: 7.0ms (10.3% of total)

ival-sqrt: 7.0ms (10.3% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Status

Accuracy

Program

▶

97.3%

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify216.0ms (1.4%)

Memory

10.0MiB live, 322.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) 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	128	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(.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	6208	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))

Rules

5 280×	`-lowering-.f32`
5 280×	`-lowering-.f64`
3 044×	`/-lowering-/.f32`
3 044×	`/-lowering-/.f64`
2 794×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	198
1	48	194
2	105	194
3	426	194
4	1730	194
5	3054	194
6	3578	194
7	3814	194
8	4322	194
9	5682	194
10	6674	194
0	10109	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize122.0ms (0.8%)

Memory

-20.9MiB live, 124.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
✓	accuracy	96.3%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	86.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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

47.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 11.0ms (33% of total)

ival-pow2: 7.0ms (21% of total)

ival-div: 5.0ms (15% of total)

ival-mult: 4.0ms (12% of total)

ival-add: 3.0ms (9% of total)

ival-sqrt: 3.0ms (9% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series91.0ms (0.6%)

Memory

-13.0MiB live, 138.4MiB allocated

Counts

8 → 276

Calls

Call 1

Inputs
#<alt (pow (/ (* 2 l) Om) 2)>
#<alt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (/ 1 2)>
#<alt (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (pow (sin ky) 2)>

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

Calls

69 calls:

Time	Variable		Point	Expression
9.0ms	ky	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
8.0ms	Om	@	-inf	(/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
5.0ms	kx	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
4.0ms	kx	@	0	(sqrt (* (/ 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))))))))

rewrite487.0ms (3.1%)

Memory

32.2MiB live, 842.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 134×	`accelerator-lowering-fma.f32`
9 134×	`accelerator-lowering-fma.f64`
6 050×	`-lowering-.f32`
6 050×	`-lowering-.f64`
2 970×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
1	119	119
2	929	119
0	8646	115

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 435

Calls

Call 1

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

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

simplify638.0ms (4%)

Memory

-2.5MiB live, 840.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 874×	`-lowering-.f32`
6 874×	`-lowering-.f64`
6 432×	`accelerator-lowering-fma.f32`
6 432×	`accelerator-lowering-fma.f64`
4 588×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	13608
1	2644	13264
2	7601	13258
0	8028	12617

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

Outputs
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (*.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)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (-.f64 (.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)) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)))))
(+ 1 (* (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))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (-.f64 (.f64 (.f64 l l) (.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)) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (.f64 (.f64 l l) (+.f64 (.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)) #s(literal -12 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) (/.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 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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#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)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
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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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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2)))
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(* 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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(+ 1 (* -2 (/ (* (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 ky) 2)) (pow Om 2))))))
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(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 l l)) (.f64 Om Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 binary64))))) (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om))))) (+.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 binary64))))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 2 binary64)))) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))))))) (/.f64 (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 Om Om)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 binary64))))))) (.f64 (.f64 Om Om) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om))))))) (/.f64 (.f64 #s(literal 16/3 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 3 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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 l l) (.f64 Om Om)))))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/3 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 ky ky) #s(literal 2/45 binary64))))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 ky ky) #s(literal -1/315 binary64))))))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

eval112.0ms (0.7%)

Memory: 34.2MiB live, 260.8MiB allocated
Compiler: Compiled 37 637 to 4 217 computations (88.8% saved)

prune372.0ms (2.4%)

Memory

-191.0MiB live, 227.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	706	5	711
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	707	5	712

Accuracy

100.0%

Counts

712 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	89.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
▶	50.7%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
▶	61.6%	(sqrt.f64 #s(literal 1 binary64))
▶	57.5%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 232 to 172 computations (25.9% saved)

simplify750.0ms (4.7%)

Memory

18.2MiB live, 1 130.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	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) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
✓	cost-diff	6400	(sqrt.f64 #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))

Rules

25 106×	`accelerator-lowering-fma.f32`
25 106×	`accelerator-lowering-fma.f64`
4 360×	`+-lowering-+.f64`
4 360×	`+-lowering-+.f32`
4 092×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	701
1	97	665
2	256	633
3	1197	633
4	4489	633
5	5909	633
6	6256	633
7	6367	633
8	6368	633
9	6368	633
0	8264	548

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize422.0ms (2.7%)

Memory

14.7MiB live, 646.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.3%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
✓	accuracy	85.6%	(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal -1/2 binary64))
✓	accuracy	81.2%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	69.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
✓	accuracy	97.9%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	85.2%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	96.3%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
✓	accuracy	86.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
✓	accuracy	81.2%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	69.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))

Samples

131.0ms	90×	2	valid
90.0ms	98×	1	valid
31.0ms	68×	0	valid

Compiler

Compiled 668 to 47 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-cos: 43.0ms (24.9% of total)

ival-mult: 30.0ms (17.4% of total)

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

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

ival-add: 18.0ms (10.4% of total)

adjust: 13.0ms (7.5% of total)

ival-pow: 13.0ms (7.5% of total)

ival-sin: 13.0ms (7.5% of total)

ival-hypot: 5.0ms (2.9% of total)

...in/eval/compile.rkt:110:19: 1.0ms (0.6% of total)

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

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

series252.0ms (1.6%)

Memory

-16.1MiB live, 345.1MiB allocated

Counts

20 → 696

Calls

Call 1

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

Outputs
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 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))))) (* -1/2 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
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#<alt (sqrt 2)>
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#<alt (+ (sqrt 2) (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (pow l 2) (- (* -1/2 (+ (* 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 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))) (sqrt 2))))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -1/32 (/ (pow Om 2) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) (pow l 3))))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) l)) (* -1/32 (/ (pow Om 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))>
#<alt 1>
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#<alt (+ 1 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* Om (- (* 1/2 (* Om (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))))) (* 1/32 (/ 1 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))>
#<alt (sqrt 2)>
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#<alt (sqrt 2)>
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#<alt 1>
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#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))>
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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))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))>
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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>
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#<alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) l))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))>
#<alt (* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))>
#<alt (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))>
#<alt (+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (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))))))))))>
#<alt (+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (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))))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))>

Calls

174 calls:

Time	Variable		Point	Expression
38.0ms	ky	@	0	(pow (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) -1/2)
18.0ms	ky	@	0	(* (/ 1 2) (+ 1 (/ 1 (* (/ (* 2 l) Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))))
8.0ms	l	@	0	(sqrt (+ 1 (pow (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) -1/2)))
7.0ms	ky	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) 1/2))
6.0ms	Om	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) 1/2))

rewrite593.0ms (3.8%)

Memory

2.6MiB live, 767.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 700×	`/-lowering-/.f32`
4 700×	`/-lowering-/.f64`
3 850×	`-lowering-.f32`
3 850×	`-lowering-.f64`
3 098×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	418
1	265	324
2	2627	306
0	8645	251

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 769

Calls

Call 1

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

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

simplify977.0ms (6.2%)

Memory

17.6MiB live, 1 036.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 234×	`-lowering-.f32`
8 234×	`-lowering-.f64`
6 698×	`accelerator-lowering-fma.f32`
6 698×	`accelerator-lowering-fma.f64`
4 560×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1693	38419
1	5675	37470
0	8605	34730

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

Inputs
(+ 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 (* 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)))))
(+ 1/2 (* -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 (* 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 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 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))))) (* -1/2 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -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))))) (* -1/2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -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))))) (* -1/2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -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))))) (* 1/4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))
(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 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* -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 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)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 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))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 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 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)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))))) (* -1/2 (* (/ (* (pow l 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 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)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 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 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* -1/2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (- (* -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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* 1/2 (* (* (pow ky 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))))) (* -1/2 (* (/ (* (pow l 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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (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 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (+ (* -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 (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))))))) (* (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 (+ (* 1/2 (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 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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 kx))))) (pow Om 2))))))))
(+ 1/2 (+ (* -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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ 1/2 (+ (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* (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 (+ (* 1/2 (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 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1/2 (* (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)))))))))
(+ 1/2 (* (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))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 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 (* (/ (+ (* -1/64 (/ (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 (* (/ (+ (* -1/64 (/ (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)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (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)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
(* -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 (/ (+ (* -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 (/ (+ (* -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)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (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))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
(* 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)))))))))))
(* 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)))))))))
(* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1/2 (+ (* -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)))))
(+ 1/2 (+ (* -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
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1/2 (+ (* -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)))))
(+ 1/2 (+ (* -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 (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 (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))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
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1/2
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1/2
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1/2
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(/ (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ (pow l 3) Om)))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
(/ (+ (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (pow (sqrt 1/2) 2))))) (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
(/ (+ (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ 1 (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt 1/2) 2))))) (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ 1 (* (pow Om 5) l))) (/ 1 (pow (sqrt 1/2) 4))))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/128 (* (/ (* Om (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 4))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2)))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))
(+ (* -1/8 (* (/ (* Om (* (pow kx 2) (sqrt 1/2))) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/4 (/ (* Om (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))) l)) (* -1/8 (/ (* Om (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (* l (* (pow (sin ky) 3) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))
(+ (* -1/8 (* (/ (* Om (* (pow ky 2) (sqrt 1/2))) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))) (* (pow ky 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))) (* (pow ky 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/4 (/ (* Om (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) l)) (* -1/8 (/ (* Om (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))) (* l (* (pow (sin kx) 3) (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ 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 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))))) (pow l 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ 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))))) (* -1 (/ (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ 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))))) (* -1 (/ (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow kx 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* -1 (* (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow ky 2) (+ (* -1 (* (/ (* (pow l 2) (sqrt 1/2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt 2)
(+ (sqrt 2) (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))))
(+ (sqrt 2) (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))))))
(+ (sqrt 2) (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (pow l 2) (- (* -1/2 (+ (* 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 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (- (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))) (sqrt 2))))))))
1
(+ 1 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1 (+ (* -1/32 (/ (pow Om 2) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(+ 1 (+ (* -1/32 (/ (pow Om 2) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) (pow l 3))))))
1
(+ 1 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (pow Om 2) (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) l)) (* -1/32 (/ (pow Om 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) l)) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
1
(+ 1 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1 (* Om (+ (* -1/32 (/ Om (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(+ 1 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* Om (- (* 1/2 (* Om (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))))) (* 1/32 (/ 1 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
(sqrt 2)
(+ (sqrt 2) (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))))
(+ (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))) (* (pow Om 4) (sqrt 2))))))
(+ (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))) (* (pow Om 4) (sqrt 2)))) (* 1/2 (/ (- (* -1/2 (+ (* 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))))) (* -1 (/ (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow Om 6) (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))))
(+ (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))) (* (pow Om 4) (sqrt 2))))))
(+ (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))) (* (pow Om 4) (sqrt 2)))) (* 1/2 (/ (- (* -1/2 (+ (* 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))))) (* -1 (/ (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))) (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow Om 6) (sqrt 2)))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))
(+ (sqrt (+ 1 (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 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))))
(+ (sqrt (+ 1 (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 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))
(+ (sqrt (+ 1 (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 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))
(+ (sqrt (+ 1 (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 (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* 1/2 (* (* (pow ky 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 2 (* (pow l 2) (+ (* -2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 2 (* (pow l 2) (+ (* -2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ 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)))))) (* -1/2 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1 (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(+ 1 (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
1
(+ 1 (* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1 (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(+ 1 (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l)))
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1 (* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(+ 1 (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 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))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 2 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))) (* -2 (* (/ (* (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 (+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (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 (+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 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 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 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) (+ 1/2 (* -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 (* 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)))))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ (* 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))))))))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(+ (* 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 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))))))
(+ (* 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))))))))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (/ (* l (sin ky)) Om))
(+ (* 2 (/ (* l (sin ky)) Om)) (/ (* (pow kx 2) l) (* Om (sin ky))))
(+ (* 2 (/ (* l (sin ky)) Om)) (* (pow kx 2) (+ (* -1 (/ (* (pow kx 2) (* l (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))))) (* Om (sin ky)))) (/ l (* Om (sin ky))))))
(+ (* 2 (/ (* l (sin ky)) Om)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1 (/ (* l (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* Om (sin ky)))) (/ (* (pow kx 2) (* l (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2)))))) (* Om (sin ky))))) (/ l (* Om (sin ky))))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (/ (* l (sin kx)) Om))
(+ (* 2 (/ (* l (sin kx)) Om)) (/ (* (pow ky 2) l) (* Om (sin kx))))
(+ (* 2 (/ (* l (sin kx)) Om)) (* (pow ky 2) (+ (* -1 (/ (* (pow ky 2) (* l (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))))) (* Om (sin kx)))) (/ l (* Om (sin kx))))))
(+ (* 2 (/ (* l (sin kx)) Om)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1 (/ (* l (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* Om (sin kx)))) (/ (* (pow ky 2) (* l (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))))) (* Om (sin kx))))) (/ l (* Om (sin kx))))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ 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)))))) (* -1/2 (+ (* -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))))))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) l)
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) l))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 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 (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 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))))))
(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)))))) (* -2 (* (/ (* (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))))))
(+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (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))))))))))
(+ (sqrt (/ 1 (+ 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 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (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))))))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))

Outputs
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (*.f64 kx kx))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal -1/3 binary64))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (*.f64 ky ky)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 ky ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 2/45 binary64) (.f64 ky ky)) #s(literal -1/3 binary64)))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
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(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -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))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
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(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
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(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
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(* Om (+ (* 1/4 (* (/ 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)))))))))
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(* 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))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
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(+ 1/2 (+ (* -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))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
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(+ (* -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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om)))))
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(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om)))))
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(* 1/2 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(sqrt 1/2)
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(sqrt 1/2)
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(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1/32 binary64) l) (/.f64 (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/128 binary64) (.f64 (.f64 Om (*.f64 Om Om)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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)))))) l)) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(+ (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)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 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))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/128 (* (/ (* Om (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.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))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (.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))))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
(.f64 (pow.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 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.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 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2))))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.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 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l))))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (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 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal 1/2 binary64)))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 4))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))))
(.f64 Om (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (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 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal 1/2 binary64))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.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 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l))))) (.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (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)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.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 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 Om l)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))
(.f64 Om (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 (pow.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 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2)))))))))
(.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 (pow.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 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (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 1/4 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))))
(.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (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 1/4 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 (pow.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 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (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)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))))) (neg.f64 Om))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))
(+ (* -1/8 (* (/ (* Om (* (pow kx 2) (sqrt 1/2))) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 kx kx) Om) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))) (.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 Om (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) l) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))))))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/4 (/ (* Om (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))) l)) (* -1/8 (/ (* Om (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (* l (* (pow (sin ky) 3) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))
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(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))) (* (pow ky 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (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 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (sqrt 2)))) (* (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 (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))))))))))))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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(sqrt 2)
(sqrt.f64 #s(literal 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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(sqrt 2)
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(sqrt 2)
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2
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1
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1
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1
#s(literal 1 binary64)
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(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
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(pow ky 2)
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(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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1
#s(literal 1 binary64)
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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))))))))
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(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
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(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(.f64 l (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 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 (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))))))))))
(.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) Om))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))) (neg.f64 l))
(* -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 #s(literal 0 binary64) (.f64 l (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) 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)
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(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))))
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1
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1
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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))
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(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 l l) (.f64 Om Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om)))) (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64))))))))))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 l l) (.f64 Om Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64))))) (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om)))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 2 binary64))))))) (.f64 (.f64 Om Om) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))))) (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))))))) (.f64 (.f64 Om Om) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om)))))) (/.f64 (.f64 #s(literal 16/3 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 l l))) (.f64 Om Om))) #s(literal 3 binary64)))))))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))))

eval475.0ms (3%)

Memory: 17.4MiB live, 678.2MiB allocated
Compiler: Compiled 103 410 to 8 837 computations (91.5% saved)

prune303.0ms (1.9%)

Memory

17.2MiB live, 612.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 984	9	1 993
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 988	10	1 998

Accuracy

100.0%

Counts

1 998 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
▶	50.7%	(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 #s(literal 1/2 binary64)))
	50.7%	(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
	82.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))) #s(literal 1/2 binary64)))
▶	89.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
▶	89.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
▶	49.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))
	34.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 kx))))))
✓	57.5%	(sqrt.f64 #s(literal 1/2 binary64))
▶	61.6%	#s(literal 1 binary64)

Compiler

Compiled 444 to 314 computations (29.3% saved)

simplify521.0ms (3.3%)

Memory

-5.4MiB live, 816.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

15 658×	`accelerator-lowering-fma.f32`
15 658×	`accelerator-lowering-fma.f64`
6 278×	`-lowering-.f32`
6 278×	`-lowering-.f64`
1 900×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	593
1	114	587
2	331	587
3	1238	587
4	3417	587
5	4893	587
6	6119	587
7	6244	587
8	6300	587
9	6308	587
10	6967	587
11	7127	587
12	7874	587
0	8380	523

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize250.0ms (1.6%)

Memory

-24.0MiB live, 530.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 l Om))
✓	accuracy	97.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	90.8%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
✓	accuracy	96.4%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	accuracy	86.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
✓	accuracy	81.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.8%	(*.f64 l (sin.f64 ky))
✓	accuracy	98.1%	(/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))
✓	accuracy	90.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))
✓	accuracy	96.4%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
✓	accuracy	86.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
✓	accuracy	81.3%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))

Samples

61.0ms	137×	0	valid
39.0ms	45×	1	valid
27.0ms	57×	0	invalid
25.0ms	17×	2	valid

Compiler

Compiled 560 to 51 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-cos: 22.0ms (19.7% of total)

ival-mult: 20.0ms (17.9% of total)

ival-div: 18.0ms (16.1% of total)

ival-add: 16.0ms (14.3% of total)

ival-sqrt: 14.0ms (12.5% of total)

ival-sin: 12.0ms (10.7% of total)

adjust: 4.0ms (3.6% of total)

ival-hypot: 4.0ms (3.6% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series178.0ms (1.1%)

Memory

12.4MiB live, 402.8MiB allocated

Counts

23 → 852

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4)))))))))>
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#<alt 1>
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#<alt (* l (sin ky))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))>
#<alt (* (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 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>

Calls

213 calls:

Time	Variable		Point	Expression
39.0ms	ky	@	0	(sqrt (+ 1/2 (* 1/2 (/ (* 1/2 Om) (* l (sin ky))))))
5.0ms	ky	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) 1/2))
5.0ms	kx	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) 1/2))
5.0ms	kx	@	-inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) 1/2))
3.0ms	Om	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) 1/2))

rewrite405.0ms (2.6%)

Memory

60.3MiB live, 865.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 020×	`/-lowering-/.f32`
4 020×	`/-lowering-/.f64`
3 564×	`-lowering-.f32`
3 564×	`-lowering-.f64`
2 630×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	400
1	315	370
2	3071	350
0	8587	311

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 772

Calls

Call 1

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

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

simplify712.0ms (4.5%)

Memory

-21.1MiB live, 1 442.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 586×	`+-lowering-+.f64`
7 586×	`+-lowering-+.f32`
7 450×	`accelerator-lowering-fma.f32`
7 450×	`accelerator-lowering-fma.f64`
6 336×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1988	32758
1	5454	31556
0	9007	29606

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 852

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))))) (* -1/2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))) (* 1/4 (/ (pow l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))) (* 1/4 (/ (pow l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (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 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3))))))))) (* -1/2 (* (/ (* (pow l 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))) (* 1/4 (/ (pow l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2)))))))))
(+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2))))))))) (* -1/2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2)))) 3)))))))
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1
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1/2
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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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1/2
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1/2
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1/2
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1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
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(* 2 (* (/ l Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
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(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))))
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(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))) Om)
1
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1
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2)))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
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(* 1/4 (/ Om (* l (sin ky))))
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(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* 1/24 (/ Om l)) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (* -1/4 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))))))) ky)
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(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(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 (- (* 1/1024 (/ 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))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
(* 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)))))))
(* 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))))))))
(* -1 (* (sqrt (/ Om (* l (sin ky)))) (* (sqrt -1) (sqrt -1/4))))
(* -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))))))
(* -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)))))))
(* -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))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin 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)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin ky) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))))))))) l)
(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))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(* 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) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
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(* 1/4 (/ Om (* l (sin ky))))
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
1/2
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1/2
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(* 1/2 (/ Om (* l (sin ky))))
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(* 1/2 (/ Om (* l (sin ky))))
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(* 1/2 (/ Om (* l (sin ky))))
(* 1/2 (/ Om (* ky l)))
(/ (+ (* 1/12 (/ (* Om (pow ky 2)) l)) (* 1/2 (/ Om l))) ky)
(/ (+ (* 1/2 (/ Om l)) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/12 (/ Om l))))) ky)
(/ (+ (* 1/2 (/ Om l)) (* (pow ky 2) (+ (* 1/12 (/ Om l)) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (* -1/2 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))))))) ky)
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(* 1/2 (/ Om (* l (sin ky))))
(* 1/2 (/ Om (* l (sin ky))))
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
(+ 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))))))))
1/2
(+ 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)))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 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))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
(/ (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ (pow l 3) Om)))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
(/ (+ (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (pow (sqrt 1/2) 2))))) (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
(/ (+ (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ 1 (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt 1/2) 2))))) (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ 1 (* (pow Om 5) l))) (/ 1 (pow (sqrt 1/2) 4))))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/128 (* (/ (* Om (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 4))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2)))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))
(+ (* -1/8 (* (/ (* Om (* (pow kx 2) (sqrt 1/2))) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/4 (/ (* Om (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))) l)) (* -1/8 (/ (* Om (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (* l (* (pow (sin ky) 3) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))
(+ (* -1/8 (* (/ (* Om (* (pow ky 2) (sqrt 1/2))) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))) (* (pow ky 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (sqrt 1/2)))
(/ (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ (pow l 3) Om)) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (sqrt 1/2)))) l)
(/ (+ (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (pow (sqrt 1/2) 3))))) (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (/ 1 (sqrt 1/2))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (sqrt 1/2)))) l)
(/ (+ (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (/ 1 (sqrt 1/2))))) (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ 1 (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt 1/2) 3))))) (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ 1 (* (pow Om 5) l))) (/ 1 (pow (sqrt 1/2) 5))))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (sqrt 1/2)))) l)
1
(+ 1 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1 (+ (* -1/32 (/ (pow Om 2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/128 (* (/ (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
(+ 1 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow Om 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (pow Om 3) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
1
(+ 1 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1 (* Om (+ (* -1/32 (/ Om (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ 1 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (- (* 1/128 (* (/ Om (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/32 (/ 1 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (sqrt 1/2)))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (sqrt 1/2)))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (sqrt 1/2))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (sqrt 1/2)))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/2)))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/2))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/2)))))))))
(sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))
(+ (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))) (* -1/8 (* (/ (* Om (pow kx 2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))
(+ (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))) (* (pow kx 2) (+ (* -1/8 (* (/ Om (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))
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(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx))))))
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(+ (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx)))))) (* (pow ky 2) (+ (* -1/8 (* (/ Om (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))))
(+ (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx)))))) (* (pow ky 2) (+ (* -1/8 (* (/ Om (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))) (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))))))) (* 1/2 (* (* (pow ky 2) (- (* -1/4 (/ (* Om (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) l)) (* -1/8 (/ (* Om (- (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))) (* l (* (pow (sin kx) 3) (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin kx))))))))))))))
(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(/ (+ l (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)
(/ (+ l (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)
(/ (+ l (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
1
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ 1 (* 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))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (/ 1 Om)))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (/ 1 Om)))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (/ 1 Om)))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* Om (- (* -1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (/ 1 Om))))
(* -1 (* Om (- (* -1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (/ 1 Om))))
(* -1 (* Om (- (* -1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (/ 1 Om))))
(+ 1 (* 1/2 (/ Om (* l (sin ky)))))
(+ 1 (+ (* -1/4 (/ (* Om (pow kx 2)) (* l (pow (sin ky) 3)))) (* 1/2 (/ Om (* l (sin ky))))))
(+ 1 (+ (* 1/2 (/ Om (* l (sin ky)))) (* (pow kx 2) (+ (* -1/4 (/ Om (* l (pow (sin ky) 3)))) (* 1/4 (/ (* Om (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) l))))))
(+ 1 (+ (* 1/2 (/ Om (* l (sin ky)))) (* (pow kx 2) (+ (* -1/4 (/ Om (* l (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (/ (* Om (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) l)) (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l))))))))
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1 (* 1/2 (/ Om (* l (sin kx)))))
(+ 1 (+ (* -1/4 (/ (* Om (pow ky 2)) (* l (pow (sin kx) 3)))) (* 1/2 (/ Om (* l (sin kx))))))
(+ 1 (+ (* 1/2 (/ Om (* l (sin kx)))) (* (pow ky 2) (+ (* -1/4 (/ Om (* l (pow (sin kx) 3)))) (* 1/4 (/ (* Om (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) l))))))
(+ 1 (+ (* 1/2 (/ Om (* l (sin kx)))) (* (pow ky 2) (+ (* -1/4 (/ Om (* l (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (/ (* Om (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) l)) (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l))))))))
(+ 1 (* 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))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (/ Om (* l (sin ky))))
(+ (* -1/4 (/ (* Om (pow kx 2)) (* l (pow (sin ky) 3)))) (* 1/2 (/ Om (* l (sin ky)))))
(+ (* 1/2 (/ Om (* l (sin ky)))) (* (pow kx 2) (+ (* -1/4 (/ Om (* l (pow (sin ky) 3)))) (* 1/4 (/ (* Om (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) l)))))
(+ (* 1/2 (/ Om (* l (sin ky)))) (* (pow kx 2) (+ (* -1/4 (/ Om (* l (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (/ (* Om (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) l)) (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (/ Om (* l (sin kx))))
(+ (* -1/4 (/ (* Om (pow ky 2)) (* l (pow (sin kx) 3)))) (* 1/2 (/ Om (* l (sin kx)))))
(+ (* 1/2 (/ Om (* l (sin kx)))) (* (pow ky 2) (+ (* -1/4 (/ Om (* l (pow (sin kx) 3)))) (* 1/4 (/ (* Om (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) l)))))
(+ (* 1/2 (/ Om (* l (sin kx)))) (* (pow ky 2) (+ (* -1/4 (/ Om (* l (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (/ (* Om (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) l)) (* 1/4 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* 2 ky)))) (pow kx 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* 2 kx)))) (pow ky 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))
(+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (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))))))
(+ (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (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))))))))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2)))
(+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2))))
(+ (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (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))))))
(+ (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (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))))))))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* ky l)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
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 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))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow ky 2) (pow l 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)))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 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)))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))
(* 1/2 (/ Om l))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))))))))
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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 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
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1
#s(literal 1 binary64)
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1
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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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(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) l)
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(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))
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(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))) l))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) l))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(.f64 Om (+.f64 (.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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) l))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (.f64 Om Om) (+.f64 (.f64 (.f64 #s(literal -5/4096 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 7 binary64))))) (.f64 #s(literal 3/512 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))) (pow.f64 l #s(literal 5 binary64))))))))))
1/2
#s(literal 1/2 binary64)
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(* 2 (* (/ l Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(.f64 l (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
(.f64 l (+.f64 (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om)) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
(.f64 (neg.f64 l) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))))
(.f64 (neg.f64 l) (+.f64 (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om)) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (*.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (*.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))
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(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* 1/24 (/ Om l)) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (* -1/4 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))))))) ky)
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(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
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(* 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 (/.f64 #s(literal 1 binary64) 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 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))))))
(* 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))))))))
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(* -1 (* (sqrt (/ Om (* l (sin ky)))) (* (sqrt -1) (sqrt -1/4))))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (neg.f64 (*.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) (+.f64 (.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 (/.f64 #s(literal 1 binary64) 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)))))))
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(* -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))))))))
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(* 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)
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(sqrt 1/2)
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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))))))
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(* 1/2 (sqrt (/ Om (* ky l))))
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) 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))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
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))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
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1
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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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1
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1/2
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1
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1
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1/2
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(/ (+ (* -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)
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(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(* -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))
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(* -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))
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(* -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))
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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))))))))))
(.f64 Om (+.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) l))))
(* 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)))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))))))))
(* 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)))))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (.f64 Om Om) (+.f64 (.f64 (.f64 #s(literal -5/4096 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 7 binary64))))) (.f64 #s(literal 3/512 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))) (pow.f64 l #s(literal 5 binary64))))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om)))
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1
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(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
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(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
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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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(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
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(/ (+ (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ 1 (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt 1/2) 2))))) (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ 1 (* (pow Om 5) l))) (/ 1 (pow (sqrt 1/2) 4))))))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (pow (sqrt 1/2) 2)))) l)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
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(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 l (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/128 binary64) (.f64 (.f64 Om (*.f64 Om Om)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) l)) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/128 (* (/ (* Om (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 Om l)) #s(literal 1/2 binary64)))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) #s(literal 1/2 binary64)))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (+.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal 1/2 binary64))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 4))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) #s(literal 1/2 binary64)))) (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal 1/2 binary64))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 Om l)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))
(.f64 (neg.f64 Om) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2)))))))))
(.f64 (neg.f64 Om) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (+.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))))
(-.f64 #s(literal 0 binary64) (.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))
(+ (* -1/8 (* (/ (* Om (* (pow kx 2) (sqrt 1/2))) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 Om (.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))) (.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (.f64 l (sin.f64 ky)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om (.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) l) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 ky))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/4 (/ (* Om (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))) l)) (* -1/8 (/ (* Om (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))) (* l (* (pow (sin ky) 3) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin kx)))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (sqrt 1/2)))
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(/ (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ (pow l 3) Om)) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (* Om l)) (sqrt 1/2)))) l)
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(+ 1 (+ (* -1/32 (/ (pow Om 2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(+ 1 (+ (* -1/32 (/ (pow Om 2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/128 (* (/ (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 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1 (* -1 (/ (+ (* -1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/32 (/ (pow Om 2) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1/32 binary64) l) (/.f64 (.f64 Om Om) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) l))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow Om 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (pow Om 3) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 Om (.f64 Om Om)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) l)) l))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(+ 1 (* Om (+ (* -1/32 (/ Om (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(+ 1 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (- (* 1/128 (* (/ Om (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/32 (/ 1 (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
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(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (sqrt 1/2)))
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(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (sqrt 1/2)))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (sqrt.f64 #s(literal 1/2 binary64))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (sqrt 1/2))))))
(.f64 Om (+.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ 1 (sqrt 1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (sqrt 1/2)))))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/2)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 (.f64 (sqrt.f64 (/.f64 Om l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/2)))))))
(.f64 (neg.f64 Om) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/2))))))))
(.f64 (neg.f64 Om) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (+.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))))))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/2)))))))))
(.f64 (neg.f64 Om) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (+.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om l))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))))))))
(sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))
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(* 1/2 (* (/ Om 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)))))) (/ 1 Om)))
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(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) l))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(.f64 ky (+.f64 l (.f64 (.f64 ky ky) (.f64 l (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(.f64 ky (+.f64 l (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) l) (.f64 (.f64 ky ky) (.f64 l (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))))))))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 ky ky))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 2/45 binary64) (.f64 ky ky)) #s(literal -1/3 binary64)))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (.f64 ky ky)))) #s(literal -1/3 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(.f64 #s(literal 4 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (*.f64 Om Om))))
(* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 #s(literal -4/3 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))))))
(* (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)))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 #s(literal 8/45 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (*.f64 Om Om))))))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 #s(literal -4/315 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))))))))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)

eval252.0ms (1.6%)

Memory: 7.4MiB live, 421.0MiB allocated
Compiler: Compiled 65 646 to 6 519 computations (90.1% saved)

prune217.0ms (1.4%)

Memory

4.2MiB live, 415.6MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 634	5	1 639
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	1 636	13	1 649

Accuracy

100.0%

Counts

1 649 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	44.3%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))))
	50.7%	(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	49.0%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	78.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))) #s(literal 1/2 binary64)))
▶	40.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal 1/2 binary64)))
▶	82.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))) #s(literal 1/2 binary64)))
✓	89.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
✓	89.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
▶	89.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
	34.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 kx))))))
✓	57.5%	(sqrt.f64 #s(literal 1/2 binary64))
✓	61.6%	#s(literal 1 binary64)

Compiler

Compiled 505 to 364 computations (27.9% saved)

simplify339.0ms (2.1%)

Memory

-50.5MiB live, 493.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))) #s(literal 1/2 binary64)))
✓	cost-diff	128	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (*.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om))
✓	cost-diff	6656	(fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
✓	cost-diff	0	(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) Om)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	6400	(exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))

Rules

8 456×	`accelerator-lowering-fma.f32`
8 456×	`accelerator-lowering-fma.f64`
5 666×	`-lowering-.f32`
5 666×	`-lowering-.f64`
2 436×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	784
1	148	774
2	380	736
3	1108	736
4	3238	724
5	6292	724
0	8107	673

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2))
(+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2)
(/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2)))
1/2
(exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))
(* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2)
(log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l)))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(* -1/2 (cos (* 2 ky)))
-1/2
(cos (* 2 ky))
(* 2 ky)
2
ky
(/ Om (* (/ 4 (/ Om l)) l))
Om
(* (/ 4 (/ Om l)) l)
(/ 4 (/ Om l))
4
(/ Om l)
l
(sqrt (+ (/ (* 1/4 Om) (* l (sin ky))) 1/2))
(+ (/ (* 1/4 Om) (* l (sin ky))) 1/2)
(/ (* 1/4 Om) (* l (sin ky)))
(* 1/4 Om)
1/4
Om
(* l (sin ky))
l
(sin ky)
ky
1/2
(sqrt (- 1 (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om))))
(- 1 (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om)))
1
(/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om))
(* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* l l)
l
(+ 1/2 (* -1/2 (cos (* 2 ky))))
1/2
(* -1/2 (cos (* 2 ky)))
-1/2
(cos (* 2 ky))
(* 2 ky)
2
ky
(* Om Om)
Om
(sqrt (+ (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) 1/2))
(+ (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) 1/2)
(/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
1/2
(* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* 2 (/ l Om))
2
(/ l Om)
l
Om
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(* -1/2 (cos (* 2 ky)))
-1/2
(cos (* 2 ky))
(* 2 ky)
ky
(sqrt (+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2))
(+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2)
(/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om))))))
1/2
(sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))
(+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om))))
1
(+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))
(/ (sin ky) (/ (/ Om l) (* l 4)))
(sin ky)
ky
(/ (/ Om l) (* l 4))
(/ Om l)
Om
l
(* l 4)
4
(/ (sin ky) Om)
(* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om))
(/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4)))
(- 1 (cos (* 2 kx)))
(cos (* 2 kx))
(* 2 kx)
2
kx
(/ 1/2 Om)

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

localize323.0ms (2%)

Memory

38.1MiB live, 550.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (*.f64 l #s(literal 4 binary64))))
✓	accuracy	98.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64))))
✓	accuracy	97.5%	(fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))
✓	accuracy	91.3%	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
✓	accuracy	96.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	accuracy	90.8%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal 1/2 binary64)))
✓	accuracy	89.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))))
✓	accuracy	98.5%	(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	accuracy	92.4%	(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
✓	accuracy	89.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(*.f64 l (sin.f64 ky))
✓	accuracy	98.2%	(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
✓	accuracy	90.8%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	accuracy	99.3%	(/.f64 #s(literal 4 binary64) (/.f64 Om l))
✓	accuracy	98.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))
✓	accuracy	98.0%	(/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))
✓	accuracy	89.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))

Samples

78.0ms	155×	0	invalid
39.0ms	37×	1	valid
38.0ms	24×	2	valid
28.0ms	24×	1	invalid
8.0ms	16×	0	valid

Compiler

Compiled 776 to 63 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 31.0ms (22.2% of total)

ival-cos: 29.0ms (20.7% of total)

ival-mult: 28.0ms (20% of total)

ival-sqrt: 15.0ms (10.7% of total)

ival-add: 12.0ms (8.6% of total)

ival-sin: 8.0ms (5.7% of total)

adjust: 6.0ms (4.3% of total)

ival-exp: 3.0ms (2.1% of total)

ival-sub: 3.0ms (2.1% of total)

ival-log1p: 3.0ms (2.1% of total)

...in/eval/compile.rkt:110:19: 1.0ms (0.7% of total)

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

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

series142.0ms (0.9%)

Memory

-17.8MiB live, 251.0MiB allocated

Counts

30 → 948

Calls

Call 1

Inputs
#<alt (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))>
#<alt (sqrt (+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2))>
#<alt (+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2)>
#<alt (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2)))>
#<alt (sqrt (+ (/ (* 1/4 Om) (* l (sin ky))) 1/2))>
#<alt (+ (/ (* 1/4 Om) (* l (sin ky))) 1/2)>
#<alt (/ (* 1/4 Om) (* l (sin ky)))>
#<alt (* 1/4 Om)>
#<alt (sqrt (- 1 (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om))))>
#<alt (- 1 (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om)))>
#<alt (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om))>
#<alt (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (sqrt (+ (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) 1/2))>
#<alt (+ (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) 1/2)>
#<alt (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))>
#<alt (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om))>
#<alt (sqrt (+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2))>
#<alt (+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2)>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (/ Om (* (/ 4 (/ Om l)) l))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l)))>
#<alt (/ 4 (/ Om l))>
#<alt (* l (sin ky))>
#<alt (sin ky)>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4)))>
#<alt (/ (sin ky) (/ (/ Om l) (* l 4)))>

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 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))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 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)))))))))>
#<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))))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))>
#<alt (+ (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)))))))))))>
#<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>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))>
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#<alt 1/2>
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#<alt 1/2>
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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 (+ (* -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 1/2>
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#<alt 1/2>
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#<alt (+ 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))))))))))>
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#<alt (* -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))>
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#<alt (* 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))))))))>
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#<alt (* 1/4 Om)>
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#<alt 1>
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#<alt (* (* l (sqrt -1)) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* -1/16 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
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#<alt 1>
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#<alt (+ 1 (* (pow l 2) (+ (* -1/8 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))) (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))) (* -1/8 (* (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) (- (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))) (* 1/64 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))))))) (* 1/2 (- (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))) (* 1/64 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* -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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (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)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 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))))))))) (* -1/2 (* (/ (* (pow l 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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (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))))))) (* (pow Om 2) (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))))))))))>
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#<alt (+ 1/2 (+ (* 1/2 (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))))))))))>
#<alt (+ 1/2 (+ (* 1/2 (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (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 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))))))))))))>
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#<alt 1/2>
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#<alt (+ 1/2 (* Om (+ (* 1/2 (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2))))))) (* (pow Om 2) (+ (* -1/4 (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)))) (* 3/16 (* (pow Om 2) (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 5))))))))))>
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#<alt (+ 1 (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (+ (* -1/4 (/ (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))) (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)) (pow Om 6))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (+ (* -1/4 (/ (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))) (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)) (pow Om 6))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (* (pow l 2) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))))) (* -1/4 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/4 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))) (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3)))) (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))>
#<alt (+ 1/2 (+ (* -1/4 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))))>
#<alt (+ 1/2 (+ (* -1/4 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (+ (* 3/16 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 5))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 (* (/ 1 (pow l 2)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (* 1/2 (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 (* (/ 1 (pow l 2)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (+ (* 3/16 (* (/ 1 (pow l 4)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 5))))) (* 1/2 (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))) l)))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ 1/2 (+ (* -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 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (+ (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (* (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 (+ (* 1/2 (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 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 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 (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 1/4 (/ (pow Om 2) (pow l 2)))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))>
#<alt (* (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 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* 4 (/ l Om))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* ky l)>
#<alt (* ky (+ l (* -1/6 (* (pow ky 2) l))))>
#<alt (* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))>
#<alt (* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* 2 (pow kx 2))>
#<alt (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (* 8 (/ (* (pow kx 2) (pow l 2)) Om))>
#<alt (* (pow kx 2) (+ (* -8/3 (/ (* (pow kx 2) (pow l 2)) Om)) (* 8 (/ (pow l 2) Om))))>
#<alt (* (pow kx 2) (+ (* 8 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/3 (/ (pow l 2) Om)) (* 16/45 (/ (* (pow kx 2) (pow l 2)) Om))))))>
#<alt (* (pow kx 2) (+ (* 8 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/3 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/315 (/ (* (pow kx 2) (pow l 2)) Om)) (* 16/45 (/ (pow l 2) Om))))))))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))>
#<alt (* 4 (/ (* ky (pow l 2)) Om))>
#<alt (* ky (+ (* -2/3 (/ (* (pow ky 2) (pow l 2)) Om)) (* 4 (/ (pow l 2) Om))))>
#<alt (* ky (+ (* 4 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) Om)) (* 1/30 (/ (* (pow ky 2) (pow l 2)) Om))))))>
#<alt (* ky (+ (* 4 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) (pow l 2)) Om)) (* 1/30 (/ (pow l 2) Om))))))))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>
#<alt (* 4 (/ (* (pow l 2) (sin ky)) Om))>

Calls

237 calls:

Time	Variable		Point	Expression
17.0ms	l	@	0	(/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
5.0ms	l	@	-inf	(/ (sin ky) (/ (/ Om l) (* l 4)))
5.0ms	ky	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2))
3.0ms	kx	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2))
3.0ms	ky	@	0	(+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2)

rewrite572.0ms (3.6%)

Memory

53.1MiB live, 595.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 428×	`-lowering-.f32`
4 428×	`-lowering-.f64`
3 622×	`/-lowering-/.f32`
3 622×	`/-lowering-/.f64`
3 610×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	487
1	365	474
2	3622	474
0	8304	448

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 714

Calls

Call 1

Inputs
(exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))
(sqrt (+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2))
(+ (/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2))) 1/2)
(/ 1/2 (exp (* (log (+ 1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l))))) 1/2)))
(sqrt (+ (/ (* 1/4 Om) (* l (sin ky))) 1/2))
(+ (/ (* 1/4 Om) (* l (sin ky))) 1/2)
(/ (* 1/4 Om) (* l (sin ky)))
(* 1/4 Om)
(sqrt (- 1 (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om))))
(- 1 (/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om)))
(/ (* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* Om Om))
(* (* l l) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(sqrt (+ (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) 1/2))
(+ (/ 1/2 (* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) 1/2)
(* (* 2 (/ l Om)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))
(* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om))
(sqrt (+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2))
(+ (/ 1/2 (sqrt (+ 1 (+ (* (/ (sin ky) (/ (/ Om l) (* l 4))) (/ (sin ky) Om)) (* (/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4))) (/ 1/2 Om)))))) 1/2)
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(/ Om (* (/ 4 (/ Om l)) l))
(/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (/ Om (* (/ 4 (/ Om l)) l)))
(/ 4 (/ Om l))
(* l (sin ky))
(sin ky)
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(- 1 (cos (* 2 kx)))
(/ (- 1 (cos (* 2 kx))) (/ (/ Om l) (* l 4)))
(/ (sin ky) (/ (/ Om l) (* l 4)))

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 1 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))) #s(literal 1/4 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))))))) #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) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 3/2 binary64))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1 binary64))) #s(literal -1/4 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))))) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 3/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))) #s(literal 1 binary64))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))))) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l))))))) #s(literal 1/2 binary64))
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(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 l l)) (*.f64 Om Om))
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(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) (/.f64 (.f64 l l) Om))
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(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) (/.f64 Om l)) (.f64 #s(literal 4 binary64) l) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))))
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(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) #s(literal 1 binary64)) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) Om) (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) (-.f64 #s(literal 0 binary64) (/.f64 Om l))) (.f64 l #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) (/.f64 Om (.f64 l l))) #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 #s(literal 1/2 binary64) Om))) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) (.f64 (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) (.f64 (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))) (.f64 (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) Om))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)) (.f64 (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 Om #s(literal 1/2 binary64))))) (.f64 (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) (.f64 Om (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 Om (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)) Om) (.f64 Om (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))) (*.f64 Om Om))
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(/.f64 (+.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) Om) (/.f64 Om (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))) (.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (/.f64 Om (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))))
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(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) Om))
(/.f64 #s(literal 1/2 binary64) (.f64 Om (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
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(/.f64 #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) Om) (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
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(/.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
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(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 kx kx) (+.f64 kx kx)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 kx kx) (+.f64 kx kx)) #s(literal 2 binary64)))))
(+.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1 binary64)))
(-.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l)))
(fma.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 #s(literal 4 binary64) (/.f64 l (/.f64 Om l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 l Om) l) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 l (/.f64 #s(literal 4 binary64) (/.f64 Om l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 l Om) (.f64 #s(literal 4 binary64) l) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 l Om) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 l Om) (pow.f64 (/.f64 #s(literal 1/4 binary64) l) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (.f64 #s(literal 4 binary64) l) (/.f64 l Om) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 (.f64 l l) Om) #s(literal 4 binary64) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 1 binary64) Om) (.f64 #s(literal 4 binary64) (.f64 l l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 1 binary64) Om) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 l l))) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 1 binary64) Om) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (.f64 #s(literal 4 binary64) l)) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 l l) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 4 binary64) Om) (/.f64 l (/.f64 #s(literal 1 binary64) l)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 4 binary64) Om) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) l) #s(literal 1 binary64)) (/.f64 l Om) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 Om l))) (.f64 l #s(literal -4 binary64)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 Om l))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 l #s(literal -4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) l) (-.f64 #s(literal 0 binary64) Om)) (-.f64 #s(literal 0 binary64) l) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) l) #s(literal -1 binary64)) (/.f64 l Om) (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (.f64 l #s(literal -4 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (/.f64 Om l) (.f64 l #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64))) (.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx))))) (.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) (/.f64 Om l)) (/.f64 #s(literal 1/4 binary64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 l l)) (.f64 Om (.f64 Om Om))) #s(literal 64 binary64)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (+.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)) #s(literal 2 binary64)) (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))))))
(/.f64 (-.f64 (.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)) #s(literal 2 binary64))) (+.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64))) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx))))) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (*.f64 #s(literal 4 binary64) l)) (/.f64 Om l))
(pow.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l)))
(.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))
(.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64)))
(.f64 (/.f64 l Om) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4 binary64) l) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) (/.f64 Om l)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 Om l) (*.f64 l #s(literal -4 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 Om l)) (*.f64 #s(literal 4 binary64) l))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) (/.f64 Om l)) #s(literal 4 binary64)) l)
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) (/.f64 Om l)) l) #s(literal 4 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) Om) (.f64 #s(literal 4 binary64) (.f64 l l)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1 binary64)) (/.f64 l (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 0 binary64) (/.f64 Om l))) (*.f64 l #s(literal -4 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 Om (*.f64 l l))) #s(literal 4 binary64))
(.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l) (sin.f64 ky))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (*.f64 l #s(literal -4 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (/.f64 Om l) (*.f64 l #s(literal -4 binary64))))
(/.f64 (/.f64 (sin.f64 ky) (/.f64 Om l)) (/.f64 #s(literal 1/4 binary64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l) (sin.f64 ky))))
(/.f64 (.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l))
(/.f64 (.f64 (sin.f64 ky) (.f64 #s(literal 4 binary64) l)) (/.f64 Om l))
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 Om #s(literal 1/4 binary64)) l) l) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (/.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) l)))
(.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (sin.f64 ky))
(.f64 (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (sin.f64 ky) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))
(*.f64 (/.f64 l Om) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4 binary64) l) (/.f64 (sin.f64 ky) (/.f64 Om l)))
(.f64 (/.f64 (sin.f64 ky) Om) (.f64 #s(literal 4 binary64) (*.f64 l l)))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 Om l) (.f64 l #s(literal -4 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (/.f64 Om l)) (.f64 #s(literal 4 binary64) l))
(.f64 (.f64 (/.f64 (sin.f64 ky) (/.f64 Om l)) #s(literal 4 binary64)) l)
(.f64 (.f64 (/.f64 (sin.f64 ky) (/.f64 Om l)) l) #s(literal 4 binary64))
(.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 l (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)))
(.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (/.f64 Om l))) (.f64 l #s(literal -4 binary64)))
(.f64 (/.f64 (sin.f64 ky) (/.f64 Om (.f64 l l))) #s(literal 4 binary64))

simplify949.0ms (6%)

Memory

-17.4MiB live, 851.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 956×	`accelerator-lowering-fma.f32`
8 956×	`accelerator-lowering-fma.f64`
7 348×	`-lowering-.f32`
7 348×	`-lowering-.f64`
6 460×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1674	27333
1	5413	26865
0	8711	25219

Stop Event

1×	iter limit
1×	node limit

Counts

948 → 948

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 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))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -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
(+ 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 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
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 (/ (* (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))))))
1/2
(+ 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))
(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 (- (* 1/1024 (/ 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))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
(* 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)))))))
(* 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))))))))
(* -1 (* (sqrt (/ Om (* l (sin ky)))) (* (sqrt -1) (sqrt -1/4))))
(* -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))))))
(* -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)))))))
(* -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))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin 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)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin ky) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))))))))) l)
(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))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* (sin ky) (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(* 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) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(* 1/4 (/ Om (* l (sin ky))))
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* 1/24 (/ (* Om ky) l))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))))) ky)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/24 (/ (* Om (pow ky 2)) l)) (* 1/4 (/ Om l))) ky)
(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* 1/24 (/ Om l)) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (* -1/4 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))))))) ky)
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 1/4 (/ Om (* l (sin ky))))
(* 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
(+ 1 (* -1/2 (* (pow l 2) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))) (* -1/8 (* (pow l 2) (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 2))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))) (* (pow l 2) (+ (* -1/8 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 2)) (* -1/16 (* (pow l 2) (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 3))))))))
(* (* l (sqrt -1)) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* l (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))))
(* l (+ (* -1/8 (* (/ 1 (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 3))))) (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))))
(* l (+ (* -1/8 (* (/ 1 (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 3))))) (+ (* 1/16 (* (/ 1 (* (pow l 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 5))))) (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))))))
(* -1 (* (* l (sqrt -1)) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(* -1 (* l (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))))
(* -1 (* l (+ (* -1/8 (* (/ 1 (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 3))))) (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))))))
(* -1 (* l (+ (* -1/8 (* (/ 1 (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 3))))) (+ (* 1/16 (* (/ 1 (* (pow l 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 5))))) (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 1/4 (/ (pow l 4) (pow Om 4)))))) (* -1/2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* 2/45 (/ (pow l 2) (pow Om 2))) (* 1/2 (/ (* (pow l 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* -1/2 (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
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(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(/ (+ (* 1/2 (* (/ (pow Om 2) (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) Om)
(/ (+ (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow l 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (/ 1 (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
(/ (+ (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow l 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/16 (* (/ (pow Om 2) (* (pow l 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* -1/16 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/8 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* -1/16 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* -1 (* (pow l 2) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(+ 1 (* -1 (* (pow l 2) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(+ 1 (* -1 (* (pow l 2) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(* -1 (* (pow l 2) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* (pow l 2) (- (/ 1 (pow l 2)) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* (pow l 2) (- (/ 1 (pow l 2)) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* (pow l 2) (- (/ 1 (pow l 2)) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* -1 (* (pow l 2) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* (pow l 2) (- (/ 1 (pow l 2)) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* (pow l 2) (- (/ 1 (pow l 2)) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
(* (pow l 2) (- (/ 1 (pow l 2)) (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (- (* 1/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2)))))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -2/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/3 (/ (pow l 2) (pow Om 2))))) (/ (pow l 2) (pow Om 2)))))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/ (- (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow Om 2))
(/ (- (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow Om 2))
(/ (- (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow Om 2))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(/ (* (pow l 2) (+ 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 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)))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/24 (/ (* Om (pow ky 2)) l)) (* 1/4 (/ Om l))) ky)
(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* 7/1440 (/ (* Om (pow ky 2)) l)) (* 1/24 (/ Om l))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* (pow ky 2) (+ (* 1/24 (/ Om l)) (* (pow ky 2) (+ (* 31/60480 (/ (* Om (pow ky 2)) l)) (* 7/1440 (/ Om l))))))) ky)
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (* Om l))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -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)))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(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 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) 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 (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
(* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(* 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) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ Om (* (pow (sqrt 1/2) 3) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2))))))) (* 1/4 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/4 (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)))) (* -1/64 (* (/ 1 (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3))))))) (sqrt 1/2))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2))))))))))))
1
(+ 1 (* -1/8 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))
(+ 1 (+ (* -1/8 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))) (* 1/64 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4)))))
(+ 1 (+ (* -1/8 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))) (* 1/64 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))) (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3))) (* -1/8 (* (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (- (* -1/4 (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))) (* 1/64 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))))) (pow Om 6))))))
1
(+ 1 (* -1/8 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))
(+ 1 (+ (* -1/8 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))) (* 1/64 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4)))))
(+ 1 (+ (* -1/8 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))) (* 1/64 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))) (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3))) (* -1/8 (* (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (- (* -1/4 (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))) (* 1/64 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)))))) (pow Om 6))))))
1
(+ 1 (* -1/8 (* (pow l 2) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))
(+ 1 (* (pow l 2) (+ (* -1/8 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))) (* 1/64 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))))))))
(+ 1 (* (pow l 2) (+ (* -1/8 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))) (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))) (* -1/8 (* (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) (- (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))) (* 1/64 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))))))) (* 1/2 (- (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))) (* 1/64 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))
(- (+ (sqrt 1/2) (* 1/4 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))) (/ 1/32 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))
(- (+ (sqrt 1/2) (+ (* 1/4 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))) (* 1/2 (/ (- (* -1/4 (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3)))) (* -1/64 (* (/ 1 (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))) (* 1/32 (/ 1 (* l (* (pow (sqrt 1/2) 3) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* -1/4 (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3)))) (* -1/64 (* (/ 1 (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3)))))) (* l (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))) l)) (* 1/4 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))) l)))
(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))))))))) (* -1/2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (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 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* -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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 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))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (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)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 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))))))))) (* -1/2 (* (/ (* (pow l 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 l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (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))))))) (* (pow Om 2) (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 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 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))))
(+ 1/2 (+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))) (* 1/2 (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))))))))
(+ 1/2 (+ (* 1/2 (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))))))))))
(+ 1/2 (+ (* 1/2 (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (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 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2)))))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
1/2
(+ 1/2 (* 1/2 (* Om (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))))))
(+ 1/2 (* Om (+ (* -1/4 (* (pow Om 2) (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3))))) (* 1/2 (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2))))))))))
(+ 1/2 (* Om (+ (* 1/2 (sqrt (/ 1 (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2))))))) (* (pow Om 2) (+ (* -1/4 (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)))) (* 3/16 (* (pow Om 2) (sqrt (/ 1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 5))))))))))
1
(+ 1 (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))
(+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2)))))
(+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (+ (* -1/4 (/ (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))) (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)) (pow Om 6))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))))
1
(+ 1 (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))
(+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2)))))
(+ 1 (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (pow Om 4))) (+ (* -1/4 (/ (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2)) (* 1/4 (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 2))) (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))))) (pow (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) 3)) (pow Om 6))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (- 1 (cos (* 2 kx))))) (* 4 (* (pow l 2) (pow (sin ky) 2)))) (pow Om 2))))))
1
(+ 1 (* -1/4 (* (pow l 2) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))
(+ 1 (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))))) (* -1/4 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))
(+ 1 (* (pow l 2) (+ (* -1/4 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2))) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))) (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3)))) (* -1/4 (+ (* -1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)) (* 1/4 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 2)))))))))
1/2
(+ 1/2 (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))
(+ 1/2 (+ (* -1/4 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))))
(+ 1/2 (+ (* -1/4 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (+ (* 3/16 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 5))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))))
1/2
(+ 1/2 (* -1/2 (* (/ 1 l) (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/4 (* (/ 1 (pow l 2)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (* 1/2 (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/4 (* (/ 1 (pow l 2)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 3))))) (+ (* 3/16 (* (/ 1 (pow l 4)) (sqrt (/ 1 (pow (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))) 5))))) (* 1/2 (sqrt (/ 1 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))))) l)))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))
(+ 1/2 (+ (* -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 (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))))))) (* (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 (+ (* 1/2 (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 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (+ (* 2 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) (pow Om 2))) (* 4 (/ (* (pow l 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))))
(+ 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))))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(* 4 (/ (* (pow ky 2) (pow l 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)))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* 4 (/ l Om))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* ky l)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
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)
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))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* 2 (pow kx 2))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(* 8 (/ (* (pow kx 2) (pow l 2)) Om))
(* (pow kx 2) (+ (* -8/3 (/ (* (pow kx 2) (pow l 2)) Om)) (* 8 (/ (pow l 2) Om))))
(* (pow kx 2) (+ (* 8 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/3 (/ (pow l 2) Om)) (* 16/45 (/ (* (pow kx 2) (pow l 2)) Om))))))
(* (pow kx 2) (+ (* 8 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/3 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/315 (/ (* (pow kx 2) (pow l 2)) Om)) (* 16/45 (/ (pow l 2) Om))))))))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(* 4 (/ (* ky (pow l 2)) Om))
(* ky (+ (* -2/3 (/ (* (pow ky 2) (pow l 2)) Om)) (* 4 (/ (pow l 2) Om))))
(* ky (+ (* 4 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) Om)) (* 1/30 (/ (* (pow ky 2) (pow l 2)) Om))))))
(* ky (+ (* 4 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) (pow l 2)) Om)) (* 1/30 (/ (pow l 2) Om))))))))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(* 4 (/ (* (pow l 2) (sin ky)) Om))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) Om) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) Om))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (-.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (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)))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (/.f64 (.f64 (.f64 l l) (-.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))) (.f64 Om Om)) #s(literal -2 binary64)))) (-.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)
(/.f64 (+.f64 (.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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 (.f64 Om Om) (+.f64 (.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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))))))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 l l) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om)))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om)) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(.f64 l (+.f64 (.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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) Om))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(.f64 l (+.f64 (+.f64 (.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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(.f64 l (+.f64 (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (+.f64 (.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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) Om)) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(.f64 (+.f64 (.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) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) Om))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 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 (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)
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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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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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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
#s(literal 1/2 binary64)
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1/2
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1/2
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(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 Om (pow.f64 l #s(literal 4 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 Om Om) (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))) #s(literal -3/256 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om (pow.f64 l #s(literal 6 binary64))))))) (+.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) l)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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))
(/.f64 (+.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (neg.f64 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))
(/.f64 (+.f64 (+.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 Om (pow.f64 l #s(literal 4 binary64)))))) (neg.f64 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))
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 Om (pow.f64 l #s(literal 4 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 Om Om) (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))) #s(literal -3/256 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om (pow.f64 l #s(literal 6 binary64))))))) (+.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (neg.f64 l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (*.f64 l (sin.f64 ky)) (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))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 l l)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l (sin.f64 ky)) (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))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 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 (+.f64 (.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 l (*.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64))))))))
(* 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 (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (.f64 (.f64 l (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64)))))) (+.f64 (.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))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (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 (+.f64 (.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))))) (neg.f64 Om))
(* -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 (+.f64 (+.f64 (.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))))) (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (.f64 (.f64 l (.f64 l l)) (/.f64 (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))))))) (neg.f64 Om))
(* -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))))))))
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(* 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 (.f64 l l)) (/.f64 (sin.f64 ky) Om))) (sqrt.f64 (*.f64 Om (/.f64 l (sin.f64 ky)))))) 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)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 Om (/.f64 l (sin.f64 ky))))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (.f64 l (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om))))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin ky) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))))))))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 Om (/.f64 l (sin.f64 ky))))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 l (.f64 l l)) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (.f64 l (pow.f64 Om #s(literal 5 binary64))))))))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (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)))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 Om Om) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ (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))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 Om Om) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.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)))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* (sin ky) (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))) l)))
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(* l (+ (* -1/8 (* (/ 1 (* (pow l 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 3))))) (+ (* 1/16 (* (/ 1 (* (pow l 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))) 5))))) (+ (* 1/2 (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))) (* (sqrt -1) (sqrt (+ (* -1/2 (/ (cos (* 2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
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(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
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(sqrt (- 1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
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(* (/ (* l (sqrt -1)) Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))
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(/ (+ (* 1/2 (* (/ (pow Om 2) (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) Om)
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(/ (+ (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow l 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (/ 1 (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
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(/ (+ (* (* l (sqrt -1)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* l (sqrt -1))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow l 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/16 (* (/ (pow Om 2) (* (pow l 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
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1
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1
#s(literal 1 binary64)
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(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
(.f64 (/.f64 (.f64 l l) Om) (/.f64 (*.f64 ky ky) Om))
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
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(* (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))))
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(* (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))))
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(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
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(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
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(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
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(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
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(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
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(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))
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(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 Om Om))) (.f64 l (.f64 l l)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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)))))))))))) 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 ky)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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))))))))))
(+.f64 (.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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) (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 ky)))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(+.f64 (+.f64 (.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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sqrt.f64 #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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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 ky)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/128 binary64) l) (/.f64 (/.f64 (.f64 Om Om) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) 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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 (.f64 Om Om) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))) l)) 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 ky)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) Om) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 Om (+.f64 (.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 Om (.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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))))
(* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l Om)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 Om #s(literal 5 binary64))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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)))))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))))))))
(* -1 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 Om l)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (+.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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))))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #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)))))))))) (neg.f64 Om))
(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 ky l))))
(/ (+ (* 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) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (.f64 ky Om) l))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sqrt.f64 (/.f64 (.f64 ky Om) l)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 ky Om))))))) ky)
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(* (pow l 2) (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow Om 2))) (* 4 (/ (pow (sin ky) 2) (pow Om 2)))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1/2
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(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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(* 1/4 (/ (pow Om 2) (pow l 2)))
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(* 1/4 (/ (pow Om 2) (pow l 2)))
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(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 1/4 (/ (pow Om 2) (pow l 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (*.f64 l l))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) Om)))
(* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))
(.f64 (.f64 ky ky) (+.f64 (.f64 (/.f64 #s(literal -4/3 binary64) Om) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) Om))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))))
(* (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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(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
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(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
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ky
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(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
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(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
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(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
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(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* 2 (pow kx 2))
(.f64 #s(literal 2 binary64) (.f64 kx kx))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
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(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
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(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
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(* 8 (/ (* (pow kx 2) (pow l 2)) Om))
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(* (pow kx 2) (+ (* -8/3 (/ (* (pow kx 2) (pow l 2)) Om)) (* 8 (/ (pow l 2) Om))))
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(* (pow kx 2) (+ (* 8 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/3 (/ (pow l 2) Om)) (* 16/45 (/ (* (pow kx 2) (pow l 2)) Om))))))
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(* (pow kx 2) (+ (* 8 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/3 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -8/315 (/ (* (pow kx 2) (pow l 2)) Om)) (* 16/45 (/ (pow l 2) Om))))))))
(.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (.f64 l l) Om)) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -8/3 binary64) (/.f64 (.f64 l l) Om)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 (.f64 kx kx) (/.f64 (.f64 l l) Om)) #s(literal -8/315 binary64)) (.f64 (/.f64 (.f64 l l) Om) #s(literal 16/45 binary64))))))))
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* (pow l 2) (- 1 (cos (* 2 kx)))) Om))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) Om)
(* 4 (/ (* ky (pow l 2)) Om))
(.f64 #s(literal 4 binary64) (.f64 ky (/.f64 (*.f64 l l) Om)))
(* ky (+ (* -2/3 (/ (* (pow ky 2) (pow l 2)) Om)) (* 4 (/ (pow l 2) Om))))
(.f64 ky (+.f64 (.f64 #s(literal -2/3 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) Om))) (.f64 #s(literal 4 binary64) (/.f64 (*.f64 l l) Om))))
(* ky (+ (* 4 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) Om)) (* 1/30 (/ (* (pow ky 2) (pow l 2)) Om))))))
(.f64 ky (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 l l) Om)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 l l) Om)) (.f64 (.f64 (.f64 ky ky) (/.f64 (*.f64 l l) Om)) #s(literal 1/30 binary64))))))
(* ky (+ (* 4 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) (pow l 2)) Om)) (* 1/30 (/ (pow l 2) Om))))))))
(.f64 ky (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 l l) Om)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 l l) Om)) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) Om)) #s(literal -1/1260 binary64)) (.f64 (/.f64 (*.f64 l l) Om) #s(literal 1/30 binary64))))))))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))
(* 4 (/ (* (pow l 2) (sin ky)) Om))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) (/.f64 (sin.f64 ky) Om)))

eval278.0ms (1.8%)

Memory: 44.6MiB live, 547.4MiB allocated
Compiler: Compiled 64 944 to 6 603 computations (89.8% saved)

prune204.0ms (1.3%)

Memory

-13.8MiB live, 397.2MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 743	3	1 746
Fresh	0	3	3
Picked	4	1	5
Done	0	5	5
Total	1 747	12	1 759

Accuracy

100.0%

Counts

1 759 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 #s(literal 1/2 binary64)))
	52.8%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 l Om) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) l) Om))))
	40.6%	(sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/2 binary64)))
	50.7%	(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	49.0%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	78.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))) #s(literal 1/2 binary64)))
	79.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 (.f64 kx kx) (/.f64 (*.f64 l l) Om))))))) #s(literal 1/2 binary64)))
✓	89.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
✓	89.4%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
	34.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) Om) (*.f64 l (sin.f64 kx))))))
✓	57.5%	(sqrt.f64 #s(literal 1/2 binary64))
✓	61.6%	#s(literal 1 binary64)

Compiler

Compiled 750 to 358 computations (52.3% saved)

regimes139.0ms (0.9%)

Memory

-21.1MiB live, 333.5MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

19 calls:

8.0ms	(sin.f64 ky)
8.0ms	Om
8.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
8.0ms	(*.f64 #s(literal 2 binary64) l)
8.0ms	ky

Results

Accuracy	Segments	Branch
97.3%	1	`l`
97.3%	1	`Om`
97.3%	1	`kx`
97.3%	1	`ky`
99.4%	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))))))))))`
99.4%	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)))))))))`
99.4%	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))))))))`
99.4%	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)))))))`
99.4%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
99.4%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
99.4%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
97.3%	1	`(*.f64 #s(literal 2 binary64) l)`
97.3%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
97.3%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
97.3%	1	`(sin.f64 kx)`
97.3%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
97.3%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes11.0ms (0.1%)

Memory

27.9MiB live, 27.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

(/.f64 (*.f64 #s(literal 2 binary64) l) Om)

Results

Accuracy	Segments	Branch
99.1%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes63.0ms (0.4%)

Memory

-24.0MiB live, 135.6MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

11.0ms	kx
8.0ms	l
8.0ms	(sin.f64 kx)
7.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
7.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
93.2%	2	`l`
93.0%	2	`Om`
89.6%	1	`kx`
92.7%	2	`ky`
93.2%	2	`(*.f64 #s(literal 2 binary64) l)`
89.6%	1	`(sin.f64 kx)`
92.7%	3	`(sin.f64 ky)`
98.7%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 48 to 39 computations (18.8% saved)

regimes7.0ms (0%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))

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

Calls

1 calls:

5.0ms

(/.f64 (*.f64 #s(literal 2 binary64) l) Om)

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0%)

Memory

-20.5MiB live, 17.6MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

(/.f64 (*.f64 #s(literal 2 binary64) l) Om)

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes28.0ms (0.2%)

Memory

30.7MiB live, 69.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

#s(literal 1 binary64)

Calls

6 calls:

5.0ms	(sin.f64 ky)
4.0ms	(sin.f64 kx)
4.0ms	kx
4.0ms	l
4.0ms	ky

Results

Accuracy	Segments	Branch
78.6%	1	`kx`
78.6%	1	`(sin.f64 kx)`
86.0%	4	`(sin.f64 ky)`
86.0%	3	`ky`
91.7%	3	`Om`
90.2%	3	`l`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes18.0ms (0.1%)

Memory

-3.8MiB live, 36.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	Om
3.0ms	ky
3.0ms	(sin.f64 ky)
3.0ms	l

Results

Accuracy	Segments	Branch
68.2%	3	`(sin.f64 ky)`
70.3%	5	`ky`
79.9%	2	`l`
82.6%	2	`Om`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes7.0ms (0%)

Memory

-20.2MiB live, 18.3MiB 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

4 calls:

3.0ms	l
1.0ms	kx
1.0ms	ky
1.0ms	Om

Results

Accuracy	Segments	Branch
61.6%	1	`ky`
61.6%	1	`l`
61.6%	1	`kx`
61.6%	1	`Om`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.105388392363502e+152	1.0244523197645273e+157

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3441017669288092e+38	1.494197404742702e+41

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3441017669288092e+38	1.494197404742702e+41

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3441017669288092e+38	1.494197404742702e+41

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3441017669288092e+38	1.494197404742702e+41

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch50.0ms (0.3%)

Memory

-8.7MiB live, 106.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.967038559712476e+151	4.24469607198328e+152
19.0ms	9.894574602925765e-134	3.4028275957344355e-133

Samples

34.0ms

176×

valid

Compiler

Compiled 437 to 342 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 9.0ms (32.1% of total)

ival-sin: 7.0ms (25% of total)

ival-pow2: 4.0ms (14.3% of total)

ival-mult: 3.0ms (10.7% of total)

ival-add: 2.0ms (7.1% of total)

ival-sqrt: 2.0ms (7.1% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

bsearch33.0ms (0.2%)

Memory

1.8MiB live, 80.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	5.7248832262096985e-30	4.1113108579244565e-23

Samples

23.0ms

144×

valid

Compiler

Compiled 153 to 146 computations (4.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 6.0ms (33.4% of total)

ival-pow2: 4.0ms (22.3% of total)

ival-div: 3.0ms (16.7% of total)

ival-add: 2.0ms (11.1% of total)

ival-mult: 2.0ms (11.1% of total)

ival-sqrt: 2.0ms (11.1% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

simplify13.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
34×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	248
1	138	248
2	142	248
3	144	248
4	145	248

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (*.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 Om #s(literal 2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (if (<=.f64 Om #s(literal 420000000000000033380757677273290089352167455508992351255846779441851483170486358146484695282494513417224755996317159248501885136279671869730309707661312 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 Om #s(literal 1248841731117715/178405961588244985132285746181186892047843328 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (*.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 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 (sin.f64 ky) (/.f64 (/.f64 Om l) (.f64 l #s(literal 4 binary64)))) (/.f64 (sin.f64 ky) Om) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (/.f64 (/.f64 Om l) (*.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) Om)))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 l Om)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (*.f64 l (/.f64 #s(literal 4 binary64) (/.f64 Om l))))))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 199999999999999995497619646912068059136 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 l Om)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 Om #s(literal 2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (if (<=.f64 Om #s(literal 420000000000000033380757677273290089352167455508992351255846779441851483170486358146484695282494513417224755996317159248501885136279671869730309707661312 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 Om #s(literal 2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (if (<=.f64 Om #s(literal 420000000000000033380757677273290089352167455508992351255846779441851483170486358146484695282494513417224755996317159248501885136279671869730309707661312 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 l l))) (.f64 Om Om)))))) #s(literal 1 binary64)))
(if (<=.f64 Om #s(literal 1248841731117715/178405961588244985132285746181186892047843328 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.0s (6.6%)

Memory

-35.5MiB live, 1 057.0MiB allocated

Rules

9 134×	`accelerator-lowering-fma.f32`
9 134×	`accelerator-lowering-fma.f64`
8 234×	`-lowering-.f32`
8 234×	`-lowering-.f64`
7 586×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	418
1	265	324
2	2627	306
0	8645	251
0	52	400
1	315	370
2	3071	350
0	8587	311
0	782	13608
1	2644	13264
2	7601	13258
0	8028	12617
0	1988	32758
1	5454	31556
0	9007	29606
0	1693	38419
1	5675	37470
0	8605	34730
0	23	124
1	119	119
2	929	119
0	8646	115

Stop Event

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

Compiler

Compiled 485 to 297 computations (38.8% saved)

preprocess128.0ms (0.8%)

Memory

6.3MiB live, 163.2MiB allocated

Remove

(sort kx ky)

(abs ky)

(abs kx)

Compiler

Compiled 1 172 to 626 computations (46.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze140.0ms (0.9%)

sample2.2s (14%)

preprocess286.0ms (1.8%)

explain469.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify216.0ms (1.4%)

localize122.0ms (0.8%)

series91.0ms (0.6%)

rewrite487.0ms (3.1%)

simplify638.0ms (4%)

eval112.0ms (0.7%)

prune372.0ms (2.4%)

simplify750.0ms (4.7%)

localize422.0ms (2.7%)

series252.0ms (1.6%)

rewrite593.0ms (3.8%)

simplify977.0ms (6.2%)

eval475.0ms (3%)

prune303.0ms (1.9%)

simplify521.0ms (3.3%)

localize250.0ms (1.6%)

series178.0ms (1.1%)

rewrite405.0ms (2.6%)

simplify712.0ms (4.5%)

eval252.0ms (1.6%)

prune217.0ms (1.4%)

simplify339.0ms (2.1%)

localize323.0ms (2%)

series142.0ms (0.9%)

rewrite572.0ms (3.6%)

simplify949.0ms (6%)

eval278.0ms (1.8%)

prune204.0ms (1.3%)

regimes139.0ms (0.9%)

regimes11.0ms (0.1%)

regimes63.0ms (0.4%)

regimes7.0ms (0%)

regimes8.0ms (0%)

regimes28.0ms (0.2%)

regimes18.0ms (0.1%)

regimes7.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch50.0ms (0.3%)

bsearch33.0ms (0.2%)

simplify13.0ms (0.1%)

soundness1.0s (6.6%)

preprocess128.0ms (0.8%)

end0.0ms (0%)

Profiling