Metrics for Toniolo and Linder, Equation (3a)

analyze238.0ms (1.5%)

Memory

-18.8MiB live, 296.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.3s (14.2%)

Memory

71.1MiB live, 3 465.4MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sin: 582.0ms (39.1% of total)

ival-pow2: 262.0ms (17.6% of total)

ival-div: 210.0ms (14.1% of total)

ival-add: 156.0ms (10.5% of total)

ival-mult: 147.0ms (9.9% of total)

ival-sqrt: 115.0ms (7.7% of total)

exact: 8.0ms (0.5% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

preprocess283.0ms (1.8%)

Memory

8.0MiB live, 322.6MiB 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 (fma.f64 (/.f64 (*.f64 l (*.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))

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)

explain430.0ms (2.7%)

Memory

4.8MiB live, 634.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`	oflow-rescue	34	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	25
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	30
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	59
↳	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	59
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	64
`*.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 -
+	1	3
-	35	217

Precision

0.027777777777777776

Recall

0.25

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	3
-	35	0	217

Precision?

0.027777777777777776

Recall?

0.25

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

139.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-sqrt: 30.0ms (27.7% of total)

ival-pow2: 28.0ms (25.8% of total)

ival-sin: 24.0ms (22.1% of total)

ival-div: 10.0ms (9.2% of total)

ival-mult: 8.0ms (7.4% of total)

ival-add: 7.0ms (6.5% of total)

ival-true: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Status

Accuracy

Program

▶

98.4%

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

simplify212.0ms (1.3%)

Memory

-7.9MiB live, 246.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

5 280×	`-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 (fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(* (/ 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 (fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/ 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 (fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
(sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow (/ (* 2 l) Om) 2)
(/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 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

localize87.0ms (0.5%)

Memory

-13.9MiB live, 181.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
✓	accuracy	99.3%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	97.2%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	87.5%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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

55.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sin: 14.0ms (33.5% of total)

ival-div: 8.0ms (19.1% of total)

ival-pow2: 8.0ms (19.1% of total)

ival-mult: 4.0ms (9.6% of total)

ival-add: 3.0ms (7.2% of total)

ival-sqrt: 3.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory

20.4MiB live, 134.1MiB allocated

Counts

8 → 276

Calls

Call 1

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

Calls

69 calls:

Time	Variable		Point	Expression
8.0ms	ky	@	inf	(* (/ 1 2) (+ 1 (/ 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))))))))
3.0ms	kx	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
3.0ms	ky	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
2.0ms	ky	@	-inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))

rewrite511.0ms (3.2%)

Memory

23.3MiB live, 847.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 134×	`accelerator-lowering-fma.f32`
9 134×	`accelerator-lowering-fma.f64`
6 008×	`-lowering-.f32`
6 008×	`-lowering-.f64`
2 908×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
1	114	113
2	909	113
0	8496	109

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 639

Calls

Call 1

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

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

simplify435.0ms (2.7%)

Memory

-37.5MiB live, 605.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 696×	`accelerator-lowering-fma.f32`
11 696×	`accelerator-lowering-fma.f64`
8 910×	`-lowering-.f32`
8 910×	`-lowering-.f64`
3 486×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	582	10419
1	1932	10186
2	7935	10184
0	8045	9659

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal 3 binary64)) (neg.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 (.f64 l l) #s(literal -1/4 binary64)) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (neg.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))) Om)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))))
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1
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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
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(fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -2 binary64)) (.f64 (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 ky ky) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (.f64 (.f64 ky ky) (fma.f64 (.f64 l l) (.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 Om Om) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))) (fma.f64 #s(literal 16/3 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))

eval431.0ms (2.7%)

Memory: -117.6MiB live, 298.8MiB allocated
Compiler: Compiled 46 115 to 5 336 computations (88.4% saved)

prune237.0ms (1.5%)

Memory

21.5MiB live, 218.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

916 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.1%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	67.5%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	78.1%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	93.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
	75.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))))))
▶	63.1%	(sqrt.f64 #s(literal 1 binary64))
▶	54.9%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 352 to 250 computations (29% saved)

simplify717.0ms (4.5%)

Memory

-36.4MiB live, 729.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	640	(sqrt.f64 #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓	cost-diff	384	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

21 786×	`accelerator-lowering-fma.f32`
21 786×	`accelerator-lowering-fma.f64`
5 268×	`-lowering-.f32`
5 268×	`-lowering-.f64`
3 932×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	572
1	125	552
2	387	536
3	1646	536
4	3996	536
5	6036	536
6	6543	536
7	6884	536
8	6929	536
9	6944	536
10	6944	536
0	8579	506

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize477.0ms (3%)

Memory

4.3MiB live, 564.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	94.5%	(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	88.3%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	80.9%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	93.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	81.2%	(.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
✓	accuracy	74.9%	(/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	96.8%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓	accuracy	87.5%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))
✓	accuracy	83.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	65.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

145.0ms	96×	1	valid
122.0ms	87×	2	valid
37.0ms	18×	3	valid
27.0ms	55×	0	valid

Compiler

Compiled 561 to 57 computations (89.8% saved)

Precisions

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

ival-cos: 77.0ms (27.5% of total)

ival-sqrt: 58.0ms (20.7% of total)

ival-mult: 35.0ms (12.5% of total)

ival-sin: 27.0ms (9.7% of total)

ival-add: 26.0ms (9.3% of total)

adjust: 23.0ms (8.2% of total)

ival-div: 19.0ms (6.8% of total)

ival-pow2: 11.0ms (3.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series185.0ms (1.2%)

Memory

2.4MiB live, 245.3MiB allocated

Counts

22 → 648

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
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#<alt (sqrt 1/2)>
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#<alt 1>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow l 7) (pow (sin ky) 7)))) (* 3/256 (/ 1 (* (pow l 5) (pow (sin ky) 5)))))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))>
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#<alt (+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
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#<alt (+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow l 2) (pow (sin ky) 6)) (pow Om 6))) (* -16 (/ (pow (sin ky) 4) (pow Om 4))))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))>
#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))>
#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
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#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))>
#<alt 1>
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#<alt (+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
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#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
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#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow l 6) (pow (sin ky) 6)))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow l 8) (pow (sin ky) 8)))) (* 1/64 (/ 1 (* (pow l 6) (pow (sin ky) 6)))))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt 1>
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#<alt (- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt 1>
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#<alt (- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (pow kx 2)>
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#<alt (pow ky 2)>
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#<alt (+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))>
#<alt (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))>
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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)))))))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))>
#<alt (/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)>
#<alt 1>
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#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))>
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#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
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#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)>
#<alt (+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))>
#<alt (+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))>
#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))>
#<alt (+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))>
#<alt (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow kx 2) (pow l 2)) (pow Om 2))>
#<alt (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow kx 2) (pow l 2))>
#<alt (* (pow kx 2) (+ (* -1/3 (* (pow kx 2) (pow l 2))) (pow l 2)))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow kx 2) (pow l 2))))) (pow l 2)))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (pow l 2)) (* (pow kx 2) (+ (* -1/315 (* (pow kx 2) (pow l 2))) (* 2/45 (pow l 2)))))) (pow l 2)))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt (* (pow l 2) (pow (sin kx) 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow Om 2))))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/315 (/ (pow ky 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>
#<alt (/ (pow (sin ky) 2) (pow Om 2))>

Calls

162 calls:

Time	Variable		Point	Expression
26.0ms	ky	@	inf	(+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)
19.0ms	ky	@	-inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)))) 1/2))
12.0ms	kx	@	0	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* 4 (/ (* (* l l) (pow (sin kx) 2)) (* Om Om))) 1)))) 1/2))
9.0ms	kx	@	inf	(+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)
6.0ms	l	@	inf	(+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)

rewrite487.0ms (3%)

Memory

12.7MiB live, 956.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 664×	`-lowering-.f32`
5 664×	`-lowering-.f64`
3 370×	`accelerator-lowering-fma.f32`
3 370×	`accelerator-lowering-fma.f64`
3 188×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	365
1	309	321
2	3024	313
0	9016	289

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 087

Calls

Call 1

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

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

simplify544.0ms (3.4%)

Memory

1.5MiB live, 1 083.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 900×	`accelerator-lowering-fma.f32`
8 900×	`accelerator-lowering-fma.f64`
6 724×	`-lowering-.f32`
6 724×	`-lowering-.f64`
5 964×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1522	19187
1	5069	18854
0	8386	17689

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

eval314.0ms (2%)

Memory: 32.4MiB live, 698.1MiB allocated
Compiler: Compiled 97 871 to 9 880 computations (89.9% saved)

prune251.0ms (1.6%)

Memory

5.2MiB live, 395.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 723	12	1 735
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	1 729	13	1 742

Accuracy

100.0%

Counts

1 742 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64)))
	41.4%	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	69.7%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 l (/.f64 l Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	65.0%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	46.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	45.4%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	56.2%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	78.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))))
	93.2%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
	77.2%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
▶	93.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
✓	54.9%	(sqrt.f64 #s(literal 1/2 binary64))
▶	63.1%	#s(literal 1 binary64)

Compiler

Compiled 626 to 448 computations (28.4% saved)

simplify294.0ms (1.8%)

Memory

-13.0MiB live, 553.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

11 606×	`accelerator-lowering-fma.f32`
11 606×	`accelerator-lowering-fma.f64`
4 378×	`-lowering-.f32`
4 378×	`-lowering-.f64`
1 938×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	676
1	134	656
2	418	620
3	1707	620
4	5011	620
0	8089	576

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize351.0ms (2.2%)

Memory

-14.0MiB live, 551.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(fma.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 l (/.f64 l Om))) #s(literal 1 binary64))
✓	accuracy	93.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 l (/.f64 l Om))) #s(literal 1 binary64))))
✓	accuracy	86.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 l (/.f64 l Om)))
✓	accuracy	75.7%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	93.0%	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64)))
✓	accuracy	85.8%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l l) (.f64 Om Om)))
✓	accuracy	84.0%	(/.f64 (.f64 l l) (.f64 Om Om))
✓	accuracy	75.7%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(/.f64 Om (*.f64 l (sin.f64 ky)))
✓	accuracy	99.8%	(*.f64 l (sin.f64 ky))
✓	accuracy	94.8%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	accuracy	97.2%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓	accuracy	94.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	87.5%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))
✓	accuracy	75.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

101.0ms	63×	2	valid
52.0ms	55×	1	valid
41.0ms	90×	0	invalid
22.0ms	46×	0	valid
4.0ms	2×	3	valid

Compiler

Compiled 658 to 58 computations (91.2% saved)

Precisions

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

ival-mult: 41.0ms (23.8% of total)

ival-cos: 33.0ms (19.2% of total)

ival-add: 33.0ms (19.2% of total)

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

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

adjust: 15.0ms (8.7% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

series92.0ms (0.6%)

Memory

3.2MiB live, 121.4MiB allocated

Counts

24 → 780

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))>
#<alt (+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))>
#<alt 1/2>
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#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))>
#<alt 1/2>
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#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))>
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#<alt (+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))>
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#<alt (+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (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 (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))>
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#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))>
#<alt (pow kx 2)>
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#<alt (sqrt 1/2)>
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#<alt (+ (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))))))))>
#<alt (+ (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))))))))>
#<alt (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))>
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#<alt (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4)))))>
#<alt (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))>
#<alt (* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))>
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#<alt (* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1)))))))>
#<alt (* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))>
#<alt (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))>
#<alt (/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)>
#<alt (/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)>
#<alt (/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))))))>
#<alt (sqrt 1/2)>
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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 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))>
#<alt 1>
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#<alt 1/2>
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#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))>
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#<alt (/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))) Om)>
#<alt 1>
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#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))>
#<alt (/ (* (pow kx 2) (pow l 2)) Om)>
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#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))>
#<alt (* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))>
#<alt (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))>
#<alt (* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow kx 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))>
#<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))))))>
#<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))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))>
#<alt (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))>
#<alt (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)>
#<alt (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)>
#<alt (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) l)>
#<alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))>
#<alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) l))>

Calls

195 calls:

Time	Variable		Point	Expression
16.0ms	kx	@	inf	(+ (* 4 (* (- 1/2 (* 1/2 (cos (+ kx kx)))) (/ (* l l) (* Om Om)))) 1)
3.0ms	Om	@	0	(* (- 1/2 (* 1/2 (cos (+ kx kx)))) (/ (* l l) (* Om Om)))
2.0ms	Om	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ (* 4 (* (- 1/2 (* 1/2 (cos (+ kx kx)))) (/ (* l l) (* Om Om)))) 1))) 1/2))
2.0ms	l	@	0	(sqrt (+ (/ 1/2 (sqrt (+ (* 4 (* (- 1/2 (* 1/2 (cos (+ kx kx)))) (/ (* l l) (* Om Om)))) 1))) 1/2))
2.0ms	kx	@	-inf	(sqrt (+ (/ 1/2 (sqrt (+ (* 4 (* (- 1/2 (* 1/2 (cos (+ kx kx)))) (/ (* l l) (* Om Om)))) 1))) 1/2))

rewrite394.0ms (2.5%)

Memory

33.1MiB live, 497.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 478×	`/-lowering-/.f32`
3 478×	`/-lowering-/.f64`
3 102×	`-lowering-.f32`
3 102×	`-lowering-.f64`
2 454×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	413
1	335	292
2	3739	272
0	8531	259

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 929

Calls

Call 1

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

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

simplify792.0ms (4.9%)

Memory

22.5MiB live, 764.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 722×	`-lowering-.f32`
8 722×	`-lowering-.f64`
6 982×	`accelerator-lowering-fma.f32`
6 982×	`accelerator-lowering-fma.f64`
5 240×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1403	22386
1	4575	22135
0	8635	20454

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

Inputs
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(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))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4)))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1)))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(* (sqrt (/ Om (* ky l))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow ky 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om ky) l)) (sqrt -1/4))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* -1/48 (* (sqrt (/ (* Om ky) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4))))))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4)))) (* ky (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) ky))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* ky l))) (/ 1 (sqrt -1/4))))))))) ky)
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
1/2
(+ 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))))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(* -1 (* 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 (+ (* -1/24 (/ Om l)) (* 1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ 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)))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ (+ (* 1/6 (/ (* Om (pow ky 2)) l)) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* ky l)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
1
(+ 1 (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (* 2 kx))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
(- 1/2 (* 1/2 (cos (neg (* -2 kx)))))
1
(+ 1 (* -1/2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow kx 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6))))) (* -1/2 (/ (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (- 1/2 (* 1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow kx 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/4 (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 5))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
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1
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(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
1
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1
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1
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1
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(sqrt 1/2)
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1
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1
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1
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1
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(sqrt 1/2)
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
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(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/4 (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
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1
(+ 1 (* -1 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (pow l 2) (pow Om 2))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
1
(+ 1 (* 2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow kx 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(* -2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))
(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
(/ (* (pow kx 2) (pow l 2)) Om)
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) Om)) (/ (pow l 2) Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) Om)) (* 2/45 (/ (* (pow kx 2) (pow l 2)) Om)))) (/ (pow l 2) Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) (pow l 2)) Om)) (* 2/45 (/ (pow l 2) Om)))))) (/ (pow l 2) Om)))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 64 (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow kx 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 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 (+ 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 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 64 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) l)
(* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) l))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))) #s(literal 4 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
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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
#s(literal 1 binary64)
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(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1/4 binary64)))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))
(.f64 Om (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (*.f64 l (sin.f64 ky))))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4)))))
(.f64 Om (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (*.f64 l (sin.f64 ky)))))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))
(.f64 Om (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))
(neg.f64 (.f64 Om (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1/4 binary64)))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (sin.f64 ky)) Om)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 l Om) (sin.f64 ky))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 Om (.f64 Om Om)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 l Om) (sin.f64 ky))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (.f64 l (pow.f64 Om #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))))
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(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -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)))
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(* (sqrt (/ Om (* ky l))) (sqrt -1/4))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow ky 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om ky) l)) (sqrt -1/4))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 ky (.f64 ky ky))) Om)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 ky Om) l)))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* -1/48 (* (sqrt (/ (* Om ky) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4))))))) ky)
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(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4)))) (* ky (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) ky))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* ky l))) (/ 1 (sqrt -1/4))))))))) ky)
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(* -1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal -1/4 binary64) (.f64 l (sin.f64 ky)))))
(* -1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l (sin.f64 ky)))
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(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
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(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))) (/.f64 #s(literal -1/2 binary64) Om)) (neg.f64 Om))
(* -1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal -1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
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(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (sin.f64 ky)) (*.f64 l #s(literal 1/2 binary64))) l)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(* -1/4 (/ Om (* ky l)))
(.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l ky)))
(/ (+ (* -1/4 (/ Om l)) (* 1/2 ky)) ky)
(/.f64 (fma.f64 ky #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 Om l))) ky)
(/ (+ (* -1/4 (/ Om l)) (* ky (+ 1/2 (* -1/24 (/ (* Om ky) l))))) ky)
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(/ (+ (* -1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/24 (/ Om l)) (* 1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))))) ky)
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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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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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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
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1
#s(literal 1 binary64)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
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1
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
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(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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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
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1
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
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(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -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))))))
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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))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
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(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
(neg.f64 (.f64 l (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) (/.f64 (.f64 Om Om) l)) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 kx kx)) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 l (*.f64 kx kx)) Om) (/.f64 l Om))))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 l Om) (.f64 #s(literal 2/45 binary64) (/.f64 (.f64 l (*.f64 kx kx)) Om))) (/.f64 l Om))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 l (*.f64 ky ky)) Om) (/.f64 l Om))))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) Om) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (/.f64 l Om) (/.f64 (.f64 #s(literal 2/45 binary64) (.f64 l (*.f64 ky ky))) Om)) (/.f64 l Om))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 ky (.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (pow l 2) (pow Om 2))
(/.f64 (.f64 l l) (.f64 Om Om))
(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om))
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal -1/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om))))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal 2/45 binary64) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l)) (.f64 Om Om))) (/.f64 (.f64 l l) (.f64 Om Om))))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))
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(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
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(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
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(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
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(+ 1 (* 2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 kx kx)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
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(+ 1 (* (pow kx 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal 8/45 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))))) (.f64 Om Om)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 1 binary64))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))))))
(fma.f64 (.f64 l l) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* 2 (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))))
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(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(.f64 l (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(.f64 l (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
(* -2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
(neg.f64 (.f64 l (fma.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (neg.f64 l))
(* 2 (* (/ l Om) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) Om)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (.f64 Om Om) l)) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) Om)
(/.f64 (fma.f64 (.f64 Om Om) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) l) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) Om)
(/ (+ (* 2 (* l (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))) Om)
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) l))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 Om Om))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 Om Om)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 Om Om))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 Om Om)))))
(/ (* (pow kx 2) (pow l 2)) Om)
(.f64 (.f64 kx kx) (/.f64 (*.f64 l l) Om))
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) (pow l 2)) Om)) (/ (pow l 2) Om)))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 l l) Om)) (/.f64 (.f64 l l) Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) Om)) (* 2/45 (/ (* (pow kx 2) (pow l 2)) Om)))) (/ (pow l 2) Om)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 l l) Om)) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l)) Om)) (/.f64 (*.f64 l l) Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ (pow l 2) Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) (pow l 2)) Om)) (* 2/45 (/ (pow l 2) Om)))))) (/ (pow l 2) Om)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/315 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 l l) Om)) (.f64 #s(literal 2/45 binary64) (/.f64 (.f64 l l) Om))) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l)) Om)) (/.f64 (.f64 l l) Om)))
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(/ (* (pow l 2) (- 1/2 (* 1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
(* 1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))
(.f64 Om (fma.f64 (.f64 (/.f64 (.f64 Om Om) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) #s(literal -1/16 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) l))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 5)))))))))))
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(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l)
(/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 Om (pow.f64 l #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 Om (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) l)
(/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 Om #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 Om (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om (pow.f64 l #s(literal 4 binary64))))) l)
(* -1/2 (* (/ Om l) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))) l))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 Om (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) l))
(/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (.f64 Om (pow.f64 l #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 Om (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))) l))
(/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 Om #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 Om (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 Om (pow.f64 l #s(literal 4 binary64))))) (neg.f64 l))

eval427.0ms (2.7%)

Memory: -7.7MiB live, 383.5MiB allocated
Compiler: Compiled 66 971 to 7 472 computations (88.8% saved)

prune214.0ms (1.3%)

Memory

15.9MiB live, 372.0MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 757	7	1 764
Fresh	3	4	7
Picked	3	2	5
Done	0	1	1
Total	1 763	14	1 777

Accuracy

100.0%

Counts

1 777 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.5%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
	44.9%	(sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64)))
	41.4%	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	65.0%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	78.2%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	46.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	45.4%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	68.5%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (.f64 l (/.f64 l Om)) (/.f64 #s(literal 4 binary64) Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	71.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (*.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) #s(literal 1 binary64)))))))
▶	93.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om) #s(literal 1 binary64)))))))
	93.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
▶	77.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
✓	54.9%	(sqrt.f64 #s(literal 1/2 binary64))
✓	63.1%	#s(literal 1 binary64)

Compiler

Compiled 641 to 456 computations (28.9% saved)

simplify459.0ms (2.9%)

Memory

-10.5MiB live, 635.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

18 084×	`accelerator-lowering-fma.f32`
18 084×	`accelerator-lowering-fma.f64`
5 178×	`-lowering-.f32`
5 178×	`-lowering-.f64`
4 122×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	848
1	180	840
2	566	840
3	2003	840
4	4607	840
5	6273	840
6	7019	840
7	7319	840
8	7394	840
9	7418	840
0	8646	780

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize551.0ms (3.4%)

Memory

19.4MiB live, 1 051.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.3%	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 ky ky))) #s(literal 1 binary64))
✓	accuracy	84.4%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))
✓	accuracy	79.7%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 ky ky))) #s(literal 1 binary64)))
✓	accuracy	65.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	95.9%	(.f64 (.f64 l (/.f64 l Om)) (/.f64 #s(literal 4 binary64) Om))
✓	accuracy	93.0%	(sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (.f64 l (/.f64 l Om)) (/.f64 #s(literal 4 binary64) Om)) #s(literal 1 binary64)))
✓	accuracy	87.6%	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (.f64 l (/.f64 l Om)) (/.f64 #s(literal 4 binary64) Om)) #s(literal 1 binary64))
✓	accuracy	65.4%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 (*.f64 kx #s(literal -2 binary64)))
✓	accuracy	81.2%	(.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	74.9%	(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om))
✓	accuracy	65.4%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	81.9%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	79.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	73.8%	(/.f64 (.f64 ky ky) (.f64 Om Om))
✓	accuracy	99.0%	(+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))
✓	accuracy	97.6%	(/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om)
✓	accuracy	87.5%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))) l) Om) #s(literal 1 binary64)))
✓	accuracy	85.2%	(fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l)

Samples

221.0ms	128×	2	valid
83.0ms	51×	1	valid
40.0ms	16×	3	valid
33.0ms	55×	0	valid
12.0ms	4×	4	valid
8.0ms	2×	5	exit

Compiler

Compiled 807 to 70 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-cos: 91.0ms (28.6% of total)

ival-mult: 69.0ms (21.7% of total)

ival-add: 61.0ms (19.2% of total)

adjust: 38.0ms (12% of total)

ival-div: 30.0ms (9.4% of total)

ival-sqrt: 28.0ms (8.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series270.0ms (1.7%)

Memory

3.9MiB live, 509.2MiB allocated

Counts

33 → 1 128

Calls

Call 1

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

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

Calls

282 calls:

Time	Variable		Point	Expression
39.0ms	kx	@	0	(* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (/ (+ (* l (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2))))) l) Om)) 1)))))
25.0ms	l	@	0	(sqrt (+ (/ 1/2 (sqrt (+ (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (* l (/ l Om)) (/ 4 Om))) 1))) 1/2))
5.0ms	Om	@	inf	(sqrt (+ (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (* l (/ l Om)) (/ 4 Om))) 1))
5.0ms	Om	@	0	(+ (/ 1/2 (sqrt (+ (* (+ (* -1/2 (cos (+ kx kx))) 1/2) (* (* l (/ l Om)) (/ 4 Om))) 1))) 1/2)
4.0ms	l	@	-inf	(+ (* (* (/ l Om) 4) (/ (+ (* l (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2))))) l) Om)) 1)

rewrite376.0ms (2.3%)

Memory

0.3MiB live, 606.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 600×	`-lowering-.f32`
4 600×	`-lowering-.f64`
3 654×	`accelerator-lowering-fma.f32`
3 654×	`accelerator-lowering-fma.f64`
3 388×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	600
1	433	576
2	4001	548
0	8408	501

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 728

Calls

Call 1

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

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

simplify634.0ms (4%)

Memory

3.4MiB live, 1 109.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 242×	`-lowering-.f32`
7 242×	`-lowering-.f64`
4 764×	`accelerator-lowering-fma.f32`
4 764×	`accelerator-lowering-fma.f64`
4 668×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2473	39281
1	7094	39229
0	8038	36550

Stop Event

1×	iter limit
1×	node limit

Counts

1 128 → 1 128

Calls

Call 1

Inputs
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (pow Om 2))))
(+ 1 (* 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)))
(* (pow l 2) (+ (* 4 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (/ 1 (pow l 2))))
(* -4 (/ (* (pow l 2) (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)) (pow Om 2)))
(* (pow l 2) (+ (* -4 (/ (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -4 (/ (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* -4 (/ (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))
(/ (+ (* 4 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))) (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* l (+ l (* -1/2 (* l (+ 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)))))))
(+ 1 (+ (* 4 (/ (* l (+ l (* -1/2 (* l (+ 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)))))))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))
(+ 1 (+ (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))) (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* l (+ l (* -1/2 (* l (+ 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)))))))
(+ 1 (+ (* 4 (/ (* l (+ l (* -1/2 (* l (+ 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)))))))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -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 (* (pow l 2) (+ (* -1 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 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)))))) (* -1/4 (+ (* -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))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(+ 1/2 (+ (* -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 5))) (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
1/2
(+ 1/2 (* -1/2 (* (/ (* Om (sqrt -1/4)) l) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))))
(+ 1/2 (* -1 (/ (+ (* -1/64 (* (/ (pow Om 3) (* (pow l 2) (sqrt -1/4))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (* 1/2 (* (* Om (sqrt -1/4)) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/4 (* (/ (+ (* 1/1024 (/ (pow Om 6) (* (pow (sqrt -1/4) 2) (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3)))) (* 1/64 (/ (pow Om 6) (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3)))) (* Om (* (pow l 4) (sqrt -1/4)))) (sqrt (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))) (+ (* -1/64 (* (/ (pow Om 3) (* (pow l 2) (sqrt -1/4))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (* 1/2 (* (* Om (sqrt -1/4)) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))))) l)))
1/2
(+ 1/2 (* 1/4 (* Om (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (pow Om 2) (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))))) (* 1/4 (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) (* (pow Om 2) (+ (* -1/32 (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))) (* 3/512 (* (pow Om 2) (sqrt (/ 1 (* (pow l 5) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 5)))))))))))
1
(+ 1 (* -1 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))))) (* 64 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))))) (* 64 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))) (pow Om 6))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 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 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (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)) (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)) (cos (* -2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (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)) (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)) (cos (* -2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 2) (pow Om 4))))) (/ (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (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)) (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 (/ (* (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (- (* -1/2 (+ (* -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 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (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)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))))) (pow l 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* (/ (* Om (* (sqrt -1/4) (sqrt 1/2))) l) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (* (pow Om 2) (* (pow (sqrt -1/4) 2) (sqrt 1/2))) (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))) (* 1/2 (* (* Om (* (sqrt -1/4) (sqrt 1/2))) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/32 (* (/ (pow Om 3) (sqrt -1/4)) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (* -1/8 (* (* (pow Om 3) (pow (sqrt -1/4) 3)) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))))) l)) (* -1/8 (/ (* (pow Om 2) (* (pow (sqrt -1/4) 2) (sqrt 1/2))) (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))) l)) (* 1/2 (* (* Om (* (sqrt -1/4) (sqrt 1/2))) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/4 (* (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (sqrt 1/2))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))) (* -1/64 (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* l (* (sqrt 1/2) (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* l (* (sqrt 1/2) (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))) (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* l (* (sqrt 1/2) (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))) (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))))) (* 64 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))) (* -1 (/ (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (- (* -1/2 (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))) (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (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 (/ (* l (* (sqrt 1/2) (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* l (* (sqrt 1/2) (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))) (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* l (* (sqrt 1/2) (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))) (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))))) (* 64 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))) (* -1 (/ (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (- (* -1/2 (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))) (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))) (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))) (* (pow ky 2) (+ (* 1/2 (* (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))))) (* 1/2 (* (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))))) (* -1 (* (/ (* (pow l 2) (- (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))) (/ (pow l 4) (* (pow Om 4) (* (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))) (sqrt (/ 1 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))))
2
(+ 2 (* -2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (pow Om 2))))
(+ 2 (* (pow l 2) (+ (* -2 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -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)))))))))
(+ 2 (* (pow l 2) (+ (* -2 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 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 (+ (* -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
(+ 1 (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1 (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(+ 1 (+ (* -1 (* (/ (+ (* -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 5))) (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
1
(+ 1 (* -1 (* (/ (* Om (sqrt -1/4)) l) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))))
(+ 1 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (* (pow l 2) (sqrt -1/4))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (* (* Om (sqrt -1/4)) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))) l)))
(+ 1 (* -1 (/ (+ (* -1/2 (* (/ (+ (* 1/1024 (/ (pow Om 6) (* (pow (sqrt -1/4) 2) (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3)))) (* 1/64 (/ (pow Om 6) (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3)))) (* Om (* (pow l 4) (sqrt -1/4)))) (sqrt (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))) (+ (* -1/32 (* (/ (pow Om 3) (* (pow l 2) (sqrt -1/4))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (* (* Om (sqrt -1/4)) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))))) l)))
1
(+ 1 (* 1/2 (* Om (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ 1 (* Om (+ (* -1/16 (* (pow Om 2) (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))))) (* 1/2 (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))))
(+ 1 (* Om (+ (* 1/2 (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) (* (pow Om 2) (+ (* -1/16 (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))) (* 3/256 (* (pow Om 2) (sqrt (/ 1 (* (pow l 5) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 5)))))))))))
2
(+ 2 (* -2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 2 (+ (* -2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4)))))
(+ 2 (+ (* -2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))))) (* 64 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))) (pow Om 6))))))
2
(+ 2 (* -2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 2 (+ (* -2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4)))))
(+ 2 (+ (* -2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* l (* (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (+ (* -16 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))) (* 4 (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2))))))) (* 64 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))) (pow Om 6))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))) (* -2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))) (* (pow kx 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))) (* (pow kx 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))) (* -2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))))))
(+ 1 (+ (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
(+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6))))) (* -1/2 (/ (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (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 (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 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 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* ky (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) ky)) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om 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 (/ (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) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (pow ky 2) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
(* 1/2 (/ Om (* ky l)))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))) l)
(/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky)))) l)
(/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))))) l)
(* -1/2 (/ Om (* ky l)))
(* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))) l))
(* -1 (/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky)))) l))
(* -1 (/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))))) l))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(* 1/2 (/ Om (* ky l)))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))) ky)
(/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l)))) ky)
(/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))))) ky)
(* -1/2 (/ Om (* ky l)))
(* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))) ky))
(* -1 (/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l)))) ky))
(* -1 (/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))))) ky))
(* 1/2 (/ Om (* ky l)))
(* Om (+ (* -1/16 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/2 (/ 1 (* ky l)))))
(* Om (+ (* (pow Om 2) (- (* 3/256 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/16 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/2 (/ 1 (* ky l)))))
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow ky 7) (pow l 7)))) (* 3/256 (/ 1 (* (pow ky 5) (pow l 5)))))) (* 1/16 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/2 (/ 1 (* ky l)))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (- (* 16 (/ (* (pow ky 4) (pow l 2)) (pow Om 4))) (* 4 (/ (pow ky 2) (pow Om 2))))))
(+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow ky 6) (pow l 2)) (pow Om 6))) (* -16 (/ (pow ky 4) (pow Om 4))))) (* 4 (/ (pow ky 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 8) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 8) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))))) (pow l 2))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (- (* 16 (/ (* (pow ky 2) (pow l 4)) (pow Om 4))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -64 (/ (* (pow ky 2) (pow l 6)) (pow Om 6))) (* -16 (/ (pow l 4) (pow Om 4))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (pow ky 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4))))) (pow ky 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 6) (pow l 8)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))))) (pow ky 2))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (pow ky 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4))))) (pow ky 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 6) (pow l 8)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))))) (pow ky 2))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow ky 4) (pow l 4)))) (* 1/4 (/ 1 (* (pow ky 2) (pow l 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow ky 6) (pow l 6)))) (* 1/16 (/ 1 (* (pow ky 4) (pow l 4)))))) (* 1/4 (/ 1 (* (pow ky 2) (pow l 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow ky 8) (pow l 8)))) (* 1/64 (/ 1 (* (pow ky 6) (pow l 6)))))) (* 1/16 (/ 1 (* (pow ky 4) (pow l 4)))))) (* 1/4 (/ 1 (* (pow ky 2) (pow l 2))))))
1
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1
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1
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1
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1
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1
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(/ (* (pow kx 2) (pow l 2)) (pow Om 2))
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(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
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1
(+ 1 (* -1/2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
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(sqrt 1/2)
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
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(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
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1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (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
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1/2
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
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(* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
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1
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(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2)))))))))
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(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
(* (pow ky 2) (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow Om 2) (pow ky 2)))) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)))) (pow Om 6))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (* -1/4 (* (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))) (* 64 (/ (pow l 6) (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 4)))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))) (* 1/256 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))) (* 1/256 (/ (* (pow Om 6) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (* (pow Om 3) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))
(pow ky 2)
(+ (pow kx 2) (pow ky 2))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(pow ky 2)
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(* (pow ky 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 kx)) (pow ky 2))) (* 1/2 (/ 1 (pow ky 2))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(* -1 (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))
(* -1 (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))
(* -1 (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))
(* -1 (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))
(+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))
(+ l (+ (* -1/2 (* l (+ 1 (cos (* -2 ky))))) (* (pow kx 2) l)))
(+ l (+ (* -1/2 (* l (+ 1 (cos (* -2 ky))))) (* (pow kx 2) (+ l (* -1/3 (* (pow kx 2) l))))))
(+ l (+ (* -1/2 (* l (+ 1 (cos (* -2 ky))))) (* (pow kx 2) (+ l (* (pow kx 2) (+ (* -1/3 l) (* 2/45 (* (pow kx 2) l))))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))
(+ l (+ (* -1/2 (* l (+ 1 (cos (* -2 kx))))) (* (pow ky 2) l)))
(+ l (+ (* -1/2 (* l (+ 1 (cos (* -2 kx))))) (* (pow ky 2) (+ l (* -1/3 (* (pow ky 2) l))))))
(+ l (+ (* -1/2 (* l (+ 1 (cos (* -2 kx))))) (* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* 2/45 (* (pow ky 2) l))))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 2)) (pow Om 4))) (* 2 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) (pow Om 6))))))))
(* 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))))))))))))
(* -1 (* (/ (* l (sqrt -4)) Om) (sqrt (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))
(* -1 (* l (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -4))) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))) (* (/ (sqrt -4) Om) (sqrt (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))))
(* -1 (* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -4) 3))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -4))) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))) (* (/ (sqrt -4) Om) (sqrt (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)))))))
(* -1 (* l (+ (* -1/8 (* (/ (pow Om 3) (* (pow l 4) (pow (sqrt -4) 3))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 3))))) (+ (* 1/16 (* (/ (pow Om 5) (* (pow l 6) (pow (sqrt -4) 5))) (sqrt (/ 1 (pow (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1) 5))))) (+ (* 1/2 (* (/ Om (* (pow l 2) (sqrt -4))) (sqrt (/ 1 (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))) (* (/ (sqrt -4) Om) (sqrt (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1))))))))
(* 2 (* (/ 1 Om) (sqrt (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(/ (+ (* 1/4 (* (pow Om 2) (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))) (* 2 (sqrt (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) Om)
(/ (+ (* 2 (sqrt (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (pow Om 2) (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)))))) (* 1/4 (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))) Om)
(/ (+ (* 2 (sqrt (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* (pow Om 2) (+ (* 1/4 (sqrt (/ 1 (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) (* (pow Om 2) (+ (* -1/64 (sqrt (/ 1 (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3))))) (* 1/512 (* (pow Om 2) (sqrt (/ 1 (* (pow l 5) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 5))))))))))) Om)
1
(+ 1 (* 2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow Om 4))) (* 2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow Om 4))) (+ (* 2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (* 4 (/ (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow Om 4))) (* 2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 2)) (pow Om 4))) (+ (* 2 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2))) (* 4 (/ (* (pow l 3) (pow (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky))))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (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 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx))))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* l (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky))))))) (pow Om 2)))))
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (* l (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(* -1 (/ (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)) Om))
(* -1 (/ (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)) Om))
(* -1 (/ (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)) Om))
(* -1 (/ (* l (- (* 1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))) 1)) Om))
(/ (+ l (* -1/2 (* l (+ 1 (cos (* -2 ky)))))) Om)
(+ (* -1/2 (/ (* l (+ 1 (cos (* -2 ky)))) Om)) (+ (/ l Om) (/ (* (pow kx 2) l) Om)))
(+ (* -1/2 (/ (* l (+ 1 (cos (* -2 ky)))) Om)) (+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ l Om)))
(+ (* -1/2 (/ (* l (+ 1 (cos (* -2 ky)))) Om)) (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ l Om)))
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ 1 (cos (* -2 kx)))))) Om)
(+ (* -1/2 (/ (* l (+ 1 (cos (* -2 kx)))) Om)) (+ (/ l Om) (/ (* (pow ky 2) l) Om)))
(+ (* -1/2 (/ (* l (+ 1 (cos (* -2 kx)))) Om)) (+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ l Om)))
(+ (* -1/2 (/ (* l (+ 1 (cos (* -2 kx)))) Om)) (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ l Om)))
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(/ (+ l (* -1/2 (* l (+ (cos (* -2 kx)) (cos (* -2 ky)))))) Om)
(+ 1 (cos (* -2 ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ 1 (cos (* -2 kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(pow kx 2)
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(* (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))))
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1
(+ 1 (* -2 (pow kx 2)))
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
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(* (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))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
1
(+ 1 (* 4 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
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1
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(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
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1
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1
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1
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))
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1
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(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
1
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)) (pow Om 6))))))
1
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(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* -2 (* (/ (* (pow ky 2) (pow l 4)) (pow Om 4)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 4) (pow Om 4)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* 4 (* (/ (* (pow ky 2) (pow l 6)) (pow Om 6)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 5))))))))))
(* 2 (/ (* ky l) Om))
(* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))
(* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))
(* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))
(* -2 (/ (* ky l) Om))
(* -1 (* ky (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))
(* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om))))))
(* -1 (* ky (+ (* -1/64 (/ (* (pow Om 3) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (* (pow Om 5) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ (* Om (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) l))) (* 2 (/ l Om)))))))
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* (pow ky 2) l) Om)
(+ (/ (* (pow kx 2) l) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* (pow ky 2) l) Om))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* (pow ky 2) l) Om))
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (pow ky 2)))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))
(* (pow ky 2) (+ (/ l Om) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* Om (pow ky 2)))))

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

eval308.0ms (1.9%)

Memory: 7.8MiB live, 712.7MiB allocated
Compiler: Compiled 74 793 to 7 321 computations (90.2% saved)

prune288.0ms (1.8%)

Memory

0.8MiB live, 542.0MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 881	6	1 887
Fresh	1	5	6
Picked	3	2	5
Done	0	3	3
Total	1 885	16	1 901

Accuracy

100.0%

Counts

1 901 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.5%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
	58.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)) #s(literal 1 binary64))
	41.4%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	44.9%	(sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64)))
	39.9%	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (fma.f64 (.f64 #s(literal -1/2 binary64) l) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) l)))) #s(literal 1/2 binary64)))
	78.2%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	46.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	49.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)) #s(literal 1/2 binary64)))
✓	45.4%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	72.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) ky) (/.f64 ky (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	71.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (*.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) #s(literal 1 binary64)))))))
✓	93.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) l) Om) #s(literal 1 binary64)))))))
	76.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 ky ky) l) Om) #s(literal 1 binary64)))))))
	93.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	54.9%	(sqrt.f64 #s(literal 1/2 binary64))
✓	63.1%	#s(literal 1 binary64)

Compiler

Compiled 1 106 to 492 computations (55.5% saved)

regimes223.0ms (1.4%)

Memory

13.7MiB live, 444.1MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

19 calls:

45.0ms	(sin.f64 ky)
16.0ms	(*.f64 #s(literal 2 binary64) l)
12.0ms	(sin.f64 kx)
11.0ms	ky
10.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))

Results

Accuracy	Segments	Branch
98.4%	1	`l`
98.4%	1	`Om`
98.4%	1	`kx`
98.4%	1	`ky`
100.0%	2	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
100.0%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
100.0%	2	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
100.0%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
100.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
98.4%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.4%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.4%	1	`(*.f64 #s(literal 2 binary64) l)`
98.4%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
98.4%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
98.4%	1	`(sin.f64 kx)`
98.4%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.4%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes174.0ms (1.1%)

Memory

-4.7MiB live, 406.8MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

19 calls:

12.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
11.0ms	(sin.f64 ky)
10.0ms	ky
10.0ms	(sin.f64 kx)
10.0ms	Om

Results

Accuracy	Segments	Branch
95.8%	2	`l`
93.9%	1	`Om`
93.9%	1	`kx`
98.9%	2	`ky`
98.5%	2	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
98.5%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
98.5%	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)))))))`
99.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
99.2%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
99.2%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
95.8%	2	`(*.f64 #s(literal 2 binary64) l)`
98.9%	2	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
93.9%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
93.9%	1	`(sin.f64 kx)`
98.9%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.9%	3	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes40.0ms (0.3%)

Memory

-31.9MiB live, 88.8MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

8.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
8.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
8.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
7.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
7.0ms	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

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

Compiler

Compiled 88 to 62 computations (29.5% saved)

regimes63.0ms (0.4%)

Memory

28.5MiB live, 146.3MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`ky`
98.2%	2	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
98.2%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.5%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
98.5%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.5%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 114 to 83 computations (27.2% saved)

regimes60.0ms (0.4%)

Memory

10.3MiB live, 129.9MiB 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 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) ky) (/.f64 ky (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 ky ky) l) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 (.f64 l (/.f64 l Om)) (/.f64 #s(literal 4 binary64) Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) Om) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 l (/.f64 l Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

12 calls:

6.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
5.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
5.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
5.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
5.0ms	ky

Results

Accuracy	Segments	Branch
91.5%	2	`ky`
88.6%	2	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
88.6%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
97.5%	2	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
97.5%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
97.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
97.5%	2	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
97.9%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
97.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
97.4%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
97.4%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 233 to 163 computations (30% saved)

regimes11.0ms (0.1%)

Memory

-11.3MiB live, 27.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
97.9%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
97.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes11.0ms (0.1%)

Memory

-23.2MiB live, 20.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

3.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
97.7%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
97.7%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
97.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes6.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
97.6%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
97.6%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
97.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes46.0ms (0.3%)

Memory

18.5MiB live, 57.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

19 calls:

21.0ms	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
1.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
1.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
1.0ms	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
1.0ms	(*.f64 #s(literal 2 binary64) l)

Results

Accuracy	Segments	Branch
63.1%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
63.1%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
63.1%	1	`ky`
63.1%	1	`Om`
63.1%	1	`kx`
63.1%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
63.1%	1	`(sin.f64 kx)`
63.1%	1	`l`
63.1%	1	`(*.f64 #s(literal 2 binary64) l)`
63.1%	1	`(sin.f64 ky)`
63.1%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
63.1%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
63.1%	1	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
63.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
63.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
63.1%	1	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
63.1%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
63.1%	1	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
63.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 275 to 198 computations (28% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2495777989202797e+96	2.873486582593173e+96

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	2.2495777989202797e+96	2.873486582593173e+96

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch31.0ms (0.2%)

Memory

-38.4MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2495777989202797e+96	2.873486582593173e+96

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.46954727312556255	35352.11853062183

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.46954727312556255	35352.11853062183

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.46954727312556255	35352.11853062183

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch17.0ms (0.1%)

Memory

34.5MiB live, 34.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.46954727312556255	35352.11853062183

Samples

10.0ms

144×

valid

Compiler

Compiled 153 to 147 computations (3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.8% of total)

ival-sqrt: 2.0ms (32.8% of total)

ival-add: 1.0ms (16.4% of total)

ival-mult: 1.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-14.6MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
20×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	285
1	126	285

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))) l) Om) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4278419646001971/1125899906842624 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Outputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (fma.f64 l (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))) l) Om) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4278419646001971/1125899906842624 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness1.6s (10%)

Memory

-15.8MiB live, 1 384.3MiB allocated

Rules

11 696×	`accelerator-lowering-fma.f32`
11 696×	`accelerator-lowering-fma.f64`
9 134×	`accelerator-lowering-fma.f32`
9 134×	`accelerator-lowering-fma.f64`
8 910×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1403	22386
1	4575	22135
0	8635	20454
0	582	10419
1	1932	10186
2	7935	10184
0	8045	9659
0	1522	19187
1	5069	18854
0	8386	17689
0	2473	39281
1	7094	39229
0	8038	36550
0	22	116
1	114	113
2	909	113
0	8496	109
0	67	600
1	433	576
2	4001	548
0	8408	501
0	54	365
1	309	321
2	3024	313
0	9016	289

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
1×	iter limit
1×	node limit

Compiler

Compiled 619 to 352 computations (43.1% saved)

preprocess98.0ms (0.6%)

Memory

31.6MiB live, 226.8MiB allocated

Remove

(sort kx ky)

(abs ky)

(abs kx)

Compiler

Compiled 2 044 to 1 158 computations (43.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze238.0ms (1.5%)

sample2.3s (14.2%)

preprocess283.0ms (1.8%)

explain430.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify212.0ms (1.3%)

localize87.0ms (0.5%)

series66.0ms (0.4%)

rewrite511.0ms (3.2%)

simplify435.0ms (2.7%)

eval431.0ms (2.7%)

prune237.0ms (1.5%)

simplify717.0ms (4.5%)

localize477.0ms (3%)

series185.0ms (1.2%)

rewrite487.0ms (3%)

simplify544.0ms (3.4%)

eval314.0ms (2%)

prune251.0ms (1.6%)

simplify294.0ms (1.8%)

localize351.0ms (2.2%)

series92.0ms (0.6%)

rewrite394.0ms (2.5%)

simplify792.0ms (4.9%)

eval427.0ms (2.7%)

prune214.0ms (1.3%)

simplify459.0ms (2.9%)

localize551.0ms (3.4%)

series270.0ms (1.7%)

rewrite376.0ms (2.3%)

simplify634.0ms (4%)

eval308.0ms (1.9%)

prune288.0ms (1.8%)

regimes223.0ms (1.4%)

regimes174.0ms (1.1%)

regimes40.0ms (0.3%)

regimes63.0ms (0.4%)

regimes60.0ms (0.4%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes46.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch31.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.6s (10%)

preprocess98.0ms (0.6%)

end0.0ms (0%)

Profiling