Metrics for Toniolo and Linder, Equation (3a)

analyze138.0ms (1%)

Memory

13.5MiB live, 292.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.0s (14.3%)

Memory

20.3MiB live, 3 169.8MiB allocated

Samples

1.6s

8 256×

valid

Precisions

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

ival-sin: 398.0ms (30% of total)

ival-pow2: 258.0ms (19.5% of total)

ival-div: 205.0ms (15.5% of total)

ival-mult: 177.0ms (13.4% of total)

ival-add: 157.0ms (11.8% of total)

ival-sqrt: 111.0ms (8.4% of total)

exact: 8.0ms (0.6% of total)

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

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

Bogosity

preprocess314.0ms (2.2%)

Memory

-6.8MiB live, 385.0MiB 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)

explain383.0ms (2.7%)

Memory

1.4MiB live, 792.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
40	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))))))`
11	0	-	-	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
4	1	(120571273534721460.0 6.762697075618307e-307 2.751084317262865e-265 2.0667028257730323e+307)	-	`(/.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	0	-	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	0	-	-	`Om`
0	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	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) l)`
0	0	-	-	`(sin.f64 ky)`
0	0	-	-	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
0	0	-	-	`kx`
0	0	-	-	`ky`
0	0	-	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	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	0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	-	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
0	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	0	-	-	`(sin.f64 kx)`
0	0	-	-	`#s(literal 2 binary64)`
0	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	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	40	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`	overflow	29
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	33
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	overflow	69
↳	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`	overflow	69
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	77
`*.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**	5	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	*ou**	2	0
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	33
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	77
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	106
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	16
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	16

Confusion

	Predicted +	Predicted -
+	3	1
-	44	208

Precision

0.06382978723404255

Recall

0.75

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	1
-	44	0	208

Precision?

0.06382978723404255

Recall?

0.75

Freqs

test

number	freq
0	209
1	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

108.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

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

ival-sin: 28.0ms (34.7% of total)

ival-pow2: 15.0ms (18.6% of total)

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

ival-add: 10.0ms (12.4% of total)

ival-mult: 8.0ms (9.9% of total)

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

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify318.0ms (2.2%)

Memory

12.2MiB live, 212.3MiB 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

localize84.0ms (0.6%)

Memory

1.6MiB live, 116.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.0%	(/.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	95.8%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	85.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Samples

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: 13.0ms (31.3% of total)

ival-div: 8.0ms (19.3% of total)

ival-pow2: 7.0ms (16.9% of total)

ival-mult: 6.0ms (14.4% 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)

series85.0ms (0.6%)

Memory

-24.3MiB live, 62.2MiB 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 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (pow (sin ky) 2)>

Outputs
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt (* 4 (/ (pow l 2) (pow Om 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 4))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) l)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 64 (* (pow l 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (pow Om 6))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))>
#<alt (+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))>
#<alt (+ (* -1 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))>
#<alt (+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))))>
#<alt 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))>
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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))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>

Calls

69 calls:

Time	Variable		Point	Expression
17.0ms	l	@	inf	(/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
10.0ms	Om	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
7.0ms	ky	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
5.0ms	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))))))))

rewrite565.0ms (4%)

Memory

32.3MiB live, 497.7MiB 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)))
(/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(pow (sin ky) 2)

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

simplify512.0ms (3.6%)

Memory

1.9MiB live, 789.1MiB 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	7931	10184
0	8041	9659

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(fma.f64 (.f64 l l) (-.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))))) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 Om (.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) #s(literal -1/32 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 Om #s(literal 6 binary64)) #s(literal -3/256 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 Om (pow.f64 l #s(literal 5 binary64))))) (fma.f64 Om (.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (*.f64 l l))) #s(literal -1/32 binary64)) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))))
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(+ 1 (+ (* -2 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2))) (* 4 (* (pow l 4) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2)))) (pow Om 4)))))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* -1/2 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 (.f64 ky ky) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 ky ky) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 (.f64 ky ky) (fma.f64 (.f64 l l) (.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 Om Om) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64))))) (fma.f64 #s(literal 16/3 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 ky (.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 ky (.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

eval148.0ms (1%)

Memory: 2.7MiB live, 392.1MiB allocated
Compiler: Compiled 46 115 to 5 335 computations (88.4% saved)

prune152.0ms (1.1%)

Memory

15.6MiB live, 305.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	907	8	915
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	908	8	916

Accuracy

100.0%

Counts

916 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.0%	(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)))
▶	72.8%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	35.4%	(sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.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))))
▶	81.7%	(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)))
	50.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
▶	92.7%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
	61.2%	(sqrt.f64 #s(literal 1 binary64))
▶	57.6%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 482 to 304 computations (36.9% saved)

simplify324.0ms (2.3%)

Memory

0.7MiB live, 500.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 ky ky))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (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))
✓	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	0	(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)))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	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	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	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

11 088×	`accelerator-lowering-fma.f32`
11 088×	`accelerator-lowering-fma.f64`
5 118×	`-lowering-.f32`
5 118×	`-lowering-.f64`
2 690×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1127
1	139	1067
2	477	1015
3	2152	1015
4	5402	1015
5	6457	1015
6	6876	1015
0	8080	954

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

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

localize667.0ms (4.7%)

Memory

9.6MiB live, 895.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	82.2%	(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
✓	accuracy	81.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	67.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	66.7%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.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)))
✓	accuracy	85.4%	(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)))
✓	accuracy	82.2%	(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
✓	accuracy	81.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	67.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	89.6%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	83.8%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	83.8%	(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	95.2%	(.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	85.4%	(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	81.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	67.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

192.0ms	88×	2	valid
123.0ms	65×	1	valid
108.0ms	51×	3	valid
27.0ms	11×	4	valid
21.0ms	38×	0	valid
7.0ms	3×	5	exit

Compiler

Compiled 1 110 to 59 computations (94.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-cos: 105.0ms (30% of total)

ival-mult: 71.0ms (20.3% of total)

ival-div: 38.0ms (10.9% of total)

ival-sqrt: 34.0ms (9.7% of total)

ival-add: 32.0ms (9.1% of total)

ival-pow2: 30.0ms (8.6% of total)

adjust: 27.0ms (7.7% of total)

ival-sub: 6.0ms (1.7% of total)

ival-sin: 5.0ms (1.4% of total)

exact: 2.0ms (0.6% of total)

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

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

series228.0ms (1.6%)

Memory

3.0MiB live, 352.6MiB allocated

Counts

20 → 660

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

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

Calls

165 calls:

Time	Variable		Point	Expression
29.0ms	Om	@	inf	(+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin kx) 2) (* Om Om))) 1)))) 1/2)
19.0ms	ky	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ (* (/ (* 4 (* l l)) (* Om Om)) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) 1))) 1/2))
12.0ms	kx	@	inf	(+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)
8.0ms	l	@	inf	(/ (- (* (/ 1 (+ (* (/ (* 4 (* l l)) (* Om Om)) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) 1)) 1/4) 1/4) (- (/ 1/2 (sqrt (+ (* (/ (* 4 (* l l)) (* Om Om)) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) 1))) 1/2))
6.0ms	l	@	0	(/ (- (* (/ 1 (+ (* (/ (* 4 (* l l)) (* Om Om)) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) 1)) 1/4) 1/4) (- (/ 1/2 (sqrt (+ (* (/ (* 4 (* l l)) (* Om Om)) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) 1))) 1/2))

rewrite417.0ms (2.9%)

Memory

10.0MiB live, 687.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 650×	`/-lowering-/.f32`
3 650×	`/-lowering-/.f64`
3 106×	`-lowering-.f32`
3 106×	`-lowering-.f64`
2 480×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	401
1	347	374
2	3705	346
0	8543	314

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 797

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

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))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om))))
(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)))))))
(exp.f64 (neg.f64 (.f64 (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)))) #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 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 (pow.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)) #s(literal 2 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 (/.f64 (*.f64 l #s(literal 4 binary64)) Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 l Om) (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) #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 (/.f64 (*.f64 l #s(literal 4 binary64)) Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) (*.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 l Om) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) Om) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 (*.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) Om) #s(literal 1 binary64)) #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 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(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 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) Om) (/.f64 (.f64 l #s(literal 4 binary64)) Om) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) Om) (.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) Om) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 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))
(fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(fma.f64 (.f64 l (.f64 l #s(literal 4 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 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(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))
(fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.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 (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 #s(literal 4 binary64) Om) (.f64 (/.f64 (.f64 l 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 #s(literal 4 binary64) Om) (.f64 (/.f64 (.f64 l l) Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (/.f64 l Om) #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 l (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) Om) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) Om) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (.f64 l (.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))
(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))) #s(literal 4 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om)) #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 #s(literal 4 binary64) Om)) (/.f64 (.f64 l l) Om) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) Om) (/.f64 l Om)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 l l) (.f64 Om Om)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (.f64 (/.f64 l Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
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(pow.f64 (/.f64 Om (*.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))))) #s(literal -1 binary64))
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(*.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))))
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(.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) Om))
(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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 #s(literal -1 binary64) (neg.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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 Om (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om))))
(/.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))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (neg.f64 (neg.f64 (.f64 Om (neg.f64 Om)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om))) (neg.f64 (neg.f64 Om)))
(/.f64 (neg.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 (neg.f64 Om)))
(pow.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 kx) Om) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 Om Om) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 Om (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) Om)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 Om Om)))
(.f64 (sin.f64 kx) (.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (*.f64 Om Om))))
(.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) (.f64 Om Om)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (/.f64 #s(literal 1 binary64) (*.f64 Om (neg.f64 Om))))
(.f64 (/.f64 #s(literal 1 binary64) (.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)))
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(+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (.f64 l l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 Om Om)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
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(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (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 1/2 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)) (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 (+.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 #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 1/2 binary64))
(.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/4 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)))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.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 #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 (fma.f64 (pow.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)) #s(literal -3/2 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 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 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.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))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (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 (/.f64 #s(literal 1/4 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))) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (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)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 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))) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (/.f64 #s(literal 1/4 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))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (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 (/.f64 (+.f64 (/.f64 #s(literal 1/4 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))) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1/4 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))) #s(literal -1/4 binary64))) (+.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 #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 (/.f64 (+.f64 (/.f64 #s(literal 1/4 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))) #s(literal -1/4 binary64)) (fma.f64 (pow.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)) #s(literal -3/2 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 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 1/4 binary64) (sqrt.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))))))
(.f64 (pow.f64 (/.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 #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 1/64 binary64) (pow.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)) #s(literal -3 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.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)) #s(literal -2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/16 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 (pow.f64 (/.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 #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 1/16 binary64) (pow.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)) #s(literal -2 binary64)) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 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))))))

simplify681.0ms (4.8%)

Memory

-13.5MiB live, 974.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 656×	`-lowering-.f32`
7 656×	`-lowering-.f64`
5 568×	`accelerator-lowering-fma.f32`
5 568×	`accelerator-lowering-fma.f64`
3 282×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1699	35495
1	5659	35315
0	8105	32763

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval681.0ms (4.8%)

Memory: -123.3MiB live, 636.7MiB allocated
Compiler: Compiled 132 216 to 8 014 computations (93.9% saved)

prune245.0ms (1.7%)

Memory

-7.1MiB live, 513.5MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	2 083	9	2 092
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	2 089	11	2 100

Accuracy

100.0%

Counts

2 100 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
▶	42.6%	(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)))
▶	35.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	33.3%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	91.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64)))
▶	81.3%	(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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	50.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
▶	92.2%	(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)))))))
	70.6%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	57.6%	(sqrt.f64 #s(literal 1/2 binary64))
▶	61.2%	#s(literal 1 binary64)

Compiler

Compiled 468 to 350 computations (25.2% saved)

simplify99.0ms (0.7%)

Memory

5.4MiB live, 159.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 154×	`-lowering-.f32`
2 154×	`-lowering-.f64`
1 532×	`accelerator-lowering-fma.f32`
1 532×	`accelerator-lowering-fma.f64`
866×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	533
1	128	525
2	324	503
3	883	503
4	1944	503
5	2568	503
6	2661	503
7	2675	503
8	2691	503
9	2691	503
10	2691	503
11	2708	503
12	2708	503
0	2708	468

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize289.0ms (2%)

Memory

-11.7MiB live, 503.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))
✓	accuracy	92.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))
✓	accuracy	84.9%	(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	81.7%	(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	accuracy	96.6%	(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	85.3%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	82.9%	(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
✓	accuracy	81.7%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(*.f64 l (sin.f64 kx))
✓	accuracy	93.8%	(/.f64 Om (*.f64 l (sin.f64 kx)))
✓	accuracy	79.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	accuracy	98.1%	(.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	96.2%	(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
✓	accuracy	85.3%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))
✓	accuracy	81.7%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

108.0ms	178×	0	valid
39.0ms	27×	2	valid
32.0ms	38×	1	valid
6.0ms	13×	0	invalid

Compiler

Compiled 502 to 57 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-div: 45.0ms (30.8% of total)

ival-mult: 28.0ms (19.1% of total)

ival-cos: 24.0ms (16.4% of total)

ival-add: 23.0ms (15.7% of total)

ival-sqrt: 16.0ms (10.9% of total)

adjust: 4.0ms (2.7% of total)

ival-sin: 4.0ms (2.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series157.0ms (1.1%)

Memory

0.4MiB live, 270.6MiB allocated

Counts

26 → 780

Calls

Call 1

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

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

Calls

195 calls:

Time	Variable		Point	Expression
39.0ms	ky	@	-inf	(sqrt (+ (* (* 1/4 (/ Om l)) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))
7.0ms	kx	@	0	(sqrt (+ (* (* 1/4 (/ Om l)) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))
4.0ms	ky	@	0	(sqrt (+ (* (* 1/4 (/ Om l)) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))
3.0ms	l	@	0	(sqrt (+ (/ 1/2 (sqrt (+ (* (/ (* 4 (* l l)) (* Om Om)) (+ (* -1/2 (cos (* ky -2))) 1/2)) 1))) 1/2))
3.0ms	l	@	-inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (/ (* l (+ (* -1/2 (cos (* ky -2))) 1/2)) Om)) 1)))))

rewrite360.0ms (2.5%)

Memory

36.8MiB live, 544.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 990×	`-lowering-.f32`
4 990×	`-lowering-.f64`
4 198×	`/-lowering-/.f32`
4 198×	`/-lowering-/.f64`
3 286×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	383
1	298	370
2	2531	350
0	9028	321

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 616

Calls

Call 1

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

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

simplify515.0ms (3.6%)

Memory

-2.9MiB live, 902.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 774×	`-lowering-.f32`
8 774×	`-lowering-.f64`
6 646×	`accelerator-lowering-fma.f32`
6 646×	`accelerator-lowering-fma.f64`
5 020×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1458	21541
1	4668	21290
0	8624	19713

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

Inputs
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow l 2) (+ (* -1 (/ (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (* (pow Om 2) (sqrt 2)))) (* (pow l 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow l 2) (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (pow l 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) l)) (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) l)) (* 1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/2 (* Om (* (sqrt 1/2) (- (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (* (pow Om 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2)))) (* (pow Om 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/2 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow Om 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow ky 2) (* (pow l 2) (sqrt 1/2))) (* (pow Om 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1 (/ (* (pow l 2) (sqrt 1/2)) (* (pow Om 2) (sqrt 2)))) (* 1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (/ (pow l 4) (* (pow Om 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1 (/ (* (pow l 2) (sqrt 1/2)) (* (pow Om 2) (sqrt 2)))) (* (pow ky 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (/ (pow l 4) (* (pow Om 4) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (- (* -1/2 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1 (/ (* (pow l 2) (- (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (/ (pow l 4) (* (pow Om 4) (pow (sqrt 2) 2))))) (* (pow Om 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(* (sqrt 1/2) (sqrt (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(* 1/2 (sqrt (/ Om (* l (sin kx)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin kx)))))) (* 1/2 (sqrt (/ (* l (sin kx)) (pow Om 3))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin kx)))))) (* 1/2 (sqrt (/ (* l (sin kx)) (pow Om 3)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin kx)))))) (* 1/2 (sqrt (/ (* l (sin kx)) (pow Om 3))))))))
(* -1 (* (sqrt (/ Om (* l (sin kx)))) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ Om (* l (sin kx)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin kx)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin kx)) Om)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin kx)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* l (pow (sin kx) 3)) (pow Om 3)))) (* 1/2 (sqrt (/ (sin kx) (* Om l))))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin kx)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin kx) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin kx) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin kx) 5) (* (pow Om 5) l))))))))) l)
(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))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* (sin kx) (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* l (* (pow (sin kx) 3) (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* (sin kx) (sqrt 1/2))))) l)))
(* 1/2 (sqrt (/ Om (* kx l))))
(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* 1/2 (sqrt (/ (* (pow kx 3) l) Om)))) kx)
(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* (pow kx 2) (+ (* 1/24 (sqrt (/ (* Om kx) l))) (* 1/2 (sqrt (/ l (* Om kx))))))) kx)
(/ (+ (* 1/2 (sqrt (/ (* Om kx) l))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ l (* Om kx)))) (* kx (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) kx)))) (* 1/24 (sqrt (/ Om (* kx l))))))))) kx)
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(* 1/4 (/ Om (* l (sin kx))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin kx))))))
(* 1/4 (/ Om (* l (sin kx))))
(* Om (+ (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* l (sin kx)))) (* 1/2 (/ 1 Om))))
(* 1/4 (/ Om (* l (sin kx))))
(/ (+ (* 1/4 (/ Om (sin kx))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin kx))) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om (sin kx))) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(* 1/4 (/ Om (* kx l)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 kx)) kx)
(/ (+ (* 1/4 (/ Om l)) (* kx (+ 1/2 (* 1/24 (/ (* Om kx) l))))) kx)
(/ (+ (* 1/4 (/ Om l)) (* kx (+ 1/2 (* kx (+ (* -1/4 (* (pow kx 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))))) kx)
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* kx l))
(/ (+ (* 1/6 (/ (* Om (pow kx 2)) l)) (/ Om l)) kx)
(/ (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) kx)
(/ (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) kx)
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* kx l)
(* kx (+ l (* -1/6 (* (pow kx 2) l))))
(* kx (+ l (* (pow kx 2) (+ (* -1/6 l) (* 1/120 (* (pow kx 2) l))))))
(* kx (+ l (* (pow kx 2) (+ (* -1/6 l) (* (pow kx 2) (+ (* -1/5040 (* (pow kx 2) l)) (* 1/120 l)))))))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
(* l (sin kx))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))) (* -1/16 (* (/ (* Om (pow kx 2)) l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om l) (sqrt (/ 1 (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))) (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/8 (* (/ (* Om (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* -1/16 (* (/ (* Om (- (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))) (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))) (* l (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
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1/2
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1/2
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1/2
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(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
(/ Om l)
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(/ Om l)
(/ Om l)
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(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))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
1
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(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow ky 2) l)
(* (pow ky 2) (+ l (* -1/3 (* (pow ky 2) l))))
(* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* 2/45 (* (pow ky 2) l))))))
(* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) l)) (* 2/45 l)))))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(* 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 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (pow kx 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (pow ky 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* -1/2 (* (pow ky 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* 1/2 (* (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(+ 1 (cos (* -2 ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ 1 (cos (* -2 kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))

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

eval204.0ms (1.4%)

Memory: 24.1MiB live, 443.3MiB allocated
Compiler: Compiled 49 262 to 4 491 computations (90.9% saved)

prune186.0ms (1.3%)

Memory

-20.4MiB live, 315.0MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 421	5	1 426
Fresh	0	5	5
Picked	2	3	5
Done	0	1	1
Total	1 423	14	1 437

Accuracy

100.0%

Counts

1 437 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.7%	(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
	46.8%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
▶	42.7%	(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
	42.1%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
✓	35.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
▶	33.3%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
▶	81.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	91.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64)))
▶	92.2%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	81.3%	(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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	50.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
	70.6%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	57.6%	(sqrt.f64 #s(literal 1/2 binary64))
✓	61.2%	#s(literal 1 binary64)

Compiler

Compiled 555 to 415 computations (25.2% saved)

simplify302.0ms (2.1%)

Memory

19.2MiB live, 448.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	320	(*.f64 Om #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	384	(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 l (sin.f64 kx))
✓	cost-diff	0	(.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 l (sin.f64 kx))
✓	cost-diff	0	(/.f64 Om (*.f64 l (sin.f64 kx)))
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	384	(fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64))

Rules

10 832×	`accelerator-lowering-fma.f32`
10 832×	`accelerator-lowering-fma.f64`
4 420×	`-lowering-.f32`
4 420×	`-lowering-.f64`
3 154×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	529
1	146	529
2	449	529
3	1562	525
4	2942	521
5	3946	513
6	4595	513
7	5379	513
8	6220	513
9	7211	513
0	8007	487

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (+ (/ 1/2 (sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1))) 1/2))
(+ (/ 1/2 (sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1))) 1/2)
(/ 1/2 (sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1)))
1/2
(sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1))
(+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1)
(/ (* l 4) Om)
(* l 4)
l
4
Om
(* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))
(+ (* -1/2 (cos (* ky -2))) 1/2)
-1/2
(cos (* ky -2))
(* ky -2)
ky
-2
(/ l Om)
1
(sqrt (+ (* -1/4 (/ Om (* l (sin kx)))) 1/2))
(+ (* -1/4 (/ Om (* l (sin kx)))) 1/2)
-1/4
(/ Om (* l (sin kx)))
Om
(* l (sin kx))
l
(sin kx)
kx
1/2
(+ (* (/ Om (* (* l (sin kx)) (sqrt 1/2))) -1/8) (sqrt 1/2))
(/ Om (* (* l (sin kx)) (sqrt 1/2)))
Om
(* (* l (sin kx)) (sqrt 1/2))
(* l (sin kx))
l
(sin kx)
kx
(sqrt 1/2)
1/2
-1/8
(sqrt (+ (/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)) 1/2))
(+ (/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)) 1/2)
(/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1))
1/2
(+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)
2
(/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))
(* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2))
(* l l)
l
(+ (* -1/2 (cos (* -2 ky))) 1/2)
-1/2
(cos (* -2 ky))
(* -2 ky)
-2
ky
(* Om Om)
Om
1
(sqrt (+ (* (/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)))) 1/4) 1/2))
(+ (* (/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)))) 1/4) 1/2)
(/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1))))
(* Om 1)
Om
1
(* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)))
l
(sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1))
(+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)
-1/2
(+ (cos (* ky -2)) (cos (* -2 kx)))
(cos (* ky -2))
(* ky -2)
ky
-2
(cos (* -2 kx))
(* -2 kx)
kx
1/4
1/2

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

localize281.0ms (2%)

Memory

-4.4MiB live, 431.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
✓	accuracy	99.6%	(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.2%	(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
✓	accuracy	95.1%	(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	98.1%	(.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))
✓	accuracy	95.0%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
✓	accuracy	94.1%	(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
✓	accuracy	100.0%	(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(*.f64 l (sin.f64 kx))
✓	accuracy	99.9%	(/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(*.f64 l (sin.f64 kx))
✓	accuracy	99.9%	(/.f64 Om (*.f64 l (sin.f64 kx)))
✓	accuracy	99.6%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64))))
✓	accuracy	96.9%	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om))
✓	accuracy	95.0%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	88.7%	(sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))

Samples

90.0ms	155×	0	invalid
46.0ms	86×	0	valid
14.0ms	14×	1	valid
2.0ms	1×	2	valid

Compiler

Compiled 505 to 65 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 30.0ms (27.5% of total)

ival-cos: 28.0ms (25.7% of total)

ival-add: 16.0ms (14.7% of total)

ival-div: 13.0ms (11.9% of total)

ival-sqrt: 12.0ms (11% of total)

ival-sin: 7.0ms (6.4% of total)

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series97.0ms (0.7%)

Memory

14.7MiB live, 172.5MiB allocated

Counts

29 → 912

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
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#<alt 1>
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#<alt (+ 1 (+ (* -4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))) (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))))))>
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#<alt (/ (- (+ (* 1/16 (/ (pow Om 6) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (pow l 2))>
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#<alt (/ (- (+ (* 1/16 (/ (pow Om 6) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (pow l 2))>
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#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/16 (/ (pow Om 2) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/32 (/ (pow Om 2) (* (pow l 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4)))) (* 1/16 (/ 1 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt 1/2>
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#<alt 1/2>
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#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
#<alt Om>
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#<alt (* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))>
#<alt (* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))>
#<alt (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))>
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#<alt (/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)>
#<alt (/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)>
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#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))>
#<alt (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))>
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#<alt (+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* 1/2 (* (/ (* Om (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))>
#<alt (+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* Om (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))>
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#<alt 1>
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#<alt kx>
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#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
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#<alt (/ (* (pow ky 2) (pow l 2)) (pow Om 2))>
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#<alt (pow ky 2)>
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#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (pow kx 2)))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))>
#<alt (+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))>
#<alt (+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))>
#<alt (+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))>
#<alt (+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))>
#<alt (+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))>
#<alt (+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))>
#<alt (+ 1 (cos (* -2 kx)))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ 1 (cos (* -2 ky)))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>

Calls

228 calls:

Time	Variable		Point	Expression
16.0ms	l	@	inf	(/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1))
6.0ms	kx	@	0	(/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1))))
1.0ms	l	@	inf	(sqrt (+ (/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)) 1/2))
1.0ms	Om	@	0	(sqrt (+ (/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)) 1/2))
1.0ms	kx	@	inf	(+ (* (/ Om (* (* l (sin kx)) (sqrt 1/2))) -1/8) (sqrt 1/2))

rewrite445.0ms (3.1%)

Memory

2.2MiB live, 518.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 120×	`-lowering-.f32`
5 120×	`-lowering-.f64`
3 524×	`/-lowering-/.f32`
3 524×	`/-lowering-/.f64`
2 944×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	425
1	337	425
2	2686	425
0	8259	392

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 614

Calls

Call 1

Inputs
(+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1)
(sqrt (+ (/ 1/2 (sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1))) 1/2))
(+ (/ 1/2 (sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1))) 1/2)
(/ 1/2 (sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1)))
(sqrt (+ (* -1/4 (/ Om (* l (sin kx)))) 1/2))
(+ (* -1/4 (/ Om (* l (sin kx)))) 1/2)
(/ Om (* l (sin kx)))
(* l (sin kx))
(+ (* (/ Om (* (* l (sin kx)) (sqrt 1/2))) -1/8) (sqrt 1/2))
(/ Om (* (* l (sin kx)) (sqrt 1/2)))
(* (* l (sin kx)) (sqrt 1/2))
(+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)
(sqrt (+ (/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)) 1/2))
(+ (/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1)) 1/2)
(/ 1/2 (+ (* 2 (/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))) 1))
(* Om 1)
(sqrt (+ (* (/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)))) 1/4) 1/2))
(+ (* (/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)))) 1/4) 1/2)
(/ (* Om 1) (* l (sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1))))
(sqrt (+ (* (/ (* l 4) Om) (* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))) 1))
(+ (* -1/2 (cos (* ky -2))) 1/2)
(* (+ (* -1/2 (cos (* ky -2))) 1/2) (/ l Om))
(sin kx)
(/ (* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2)) (* Om Om))
(+ (* -1/2 (cos (* -2 ky))) 1/2)
(* (* l l) (+ (* -1/2 (cos (* -2 ky))) 1/2))
(+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1)
(sqrt (+ (* -1/2 (+ (cos (* ky -2)) (cos (* -2 kx)))) 1))
(+ (cos (* ky -2)) (cos (* -2 kx)))

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

simplify807.0ms (5.7%)

Memory

-33.9MiB live, 872.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 506×	`-lowering-.f32`
7 506×	`-lowering-.f64`
6 256×	`accelerator-lowering-fma.f32`
6 256×	`accelerator-lowering-fma.f64`
4 852×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1741	24037
1	5627	23138
0	8305	21551

Stop Event

1×	iter limit
1×	node limit

Counts

912 → 912

Calls

Call 1

Inputs
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (- (* -1/128 (/ Om (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (- (* Om (- (* -1/1024 (/ Om (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin kx) (sqrt 1/2))))))))
(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4)))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))))
(* -1/2 (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1)))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1)))))))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))))
(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin kx)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin kx) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin kx) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
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(sqrt 1/2)
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(sqrt 1/2)
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(* (sqrt (/ Om (* kx l))) (sqrt -1/4))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
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(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin kx))))))
1/2
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1/2
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1/2
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(/ Om (* l (sin kx)))
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(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
(/ Om (* l (sin kx)))
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(* l (sin kx))
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(* l (sin kx))
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(* l (sin kx))
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(* l (sin kx))
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(* l (sin kx))
(* l (sin kx))
(sqrt 1/2)
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(* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2)))))
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(/ (+ (* -1/8 (/ Om (* (sin kx) (sqrt 1/2)))) (* l (sqrt 1/2))) l)
(/ (+ (* -1/8 (/ Om (* (sin kx) (sqrt 1/2)))) (* l (sqrt 1/2))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(sqrt 1/2)
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(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
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(/ (+ (* -1/8 (/ Om (* l (sqrt 1/2)))) (* kx (+ (sqrt 1/2) (* kx (+ (* -1/48 (/ Om (* l (sqrt 1/2)))) (* 1/8 (* (pow kx 2) (+ (* -1/36 (/ Om (* l (sqrt 1/2)))) (* 1/120 (/ Om (* l (sqrt 1/2)))))))))))) kx)
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(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
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(/ (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (/ Om (* l (sqrt 1/2)))) (* 1/120 (/ Om (* l (sqrt 1/2))))))) (* -1/6 (/ Om (* l (sqrt 1/2)))))) (/ Om (* l (sqrt 1/2)))) kx)
(/ (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (/ Om (* l (sqrt 1/2)))) (+ (* 1/720 (/ Om (* l (sqrt 1/2)))) (* 1/6 (+ (* -1/36 (/ Om (* l (sqrt 1/2)))) (* 1/120 (/ Om (* l (sqrt 1/2)))))))))) (+ (* -1/36 (/ Om (* l (sqrt 1/2)))) (* 1/120 (/ Om (* l (sqrt 1/2))))))) (* -1/6 (/ Om (* l (sqrt 1/2)))))) (/ Om (* l (sqrt 1/2)))) kx)
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
(/ Om (* l (* (sin kx) (sqrt 1/2))))
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(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
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(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
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(* l (* (sin kx) (sqrt 1/2)))
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(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
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(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
(* l (* (sin kx) (sqrt 1/2)))
1
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1
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(/ (+ (* 2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
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)
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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) (- (* -1/2 (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/2 (+ (* -2 (/ (* (pow l 2) (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 4/45 (/ (pow l 2) (pow Om 2))) (* 4/3 (/ (pow l 4) (pow Om 4)))))) (* -1/2 (/ (* (pow l 2) (- (* -1/2 (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/2 (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ (pow Om 2) (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* (pow Om 2) (+ (* -1/2 (/ (* (pow Om 2) (+ (* 1/64 (/ 1 (* (pow l 4) (* (pow (sqrt 1/2) 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* (pow Om 2) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* 1/64 (/ 1 (* (pow l 4) (* (pow (sqrt 1/2) 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (sqrt 1/2))) (* 1/2 (/ (* (pow Om 2) (- (* 1/16 (/ 1 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* -1/8 (/ (+ (* 1/64 (/ 1 (* (pow l 4) (* (pow (sqrt 1/2) 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* (pow l 2) (* (pow (sqrt 1/2) 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow l 2) (* (sqrt 1/2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -4 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -4 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))) (* 2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))
1/2
(+ 1/2 (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(+ 1/2 (+ (* -1/8 (/ (pow Om 4) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/8 (/ (pow Om 4) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (+ (* 1/16 (/ (pow Om 6) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
1/2
(+ 1/2 (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(+ 1/2 (+ (* -1/8 (/ (pow Om 4) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/8 (/ (pow Om 4) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (+ (* 1/16 (/ (pow Om 6) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow ky 2) (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* -2 (/ (* (pow l 2) (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 4/45 (/ (pow l 2) (pow Om 2))) (* 4/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
1/2
(+ 1/2 (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(+ 1/2 (* (pow Om 2) (+ (* -1/8 (/ (pow Om 2) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/16 (/ (pow Om 2) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4)))))
(+ 1 (+ (* -4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))) (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4)))))
(+ 1 (+ (* -4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))) (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))))))
1/2
(+ 1/2 (* -1 (* (pow l 2) (+ (* -1/2 (/ (cos (* -2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(+ 1/2 (* (pow l 2) (- (* 2 (/ (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -1/2 (/ (cos (* -2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))) (pow Om 2))) (+ (* -1/2 (/ (cos (* -2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(+ 1/2 (* (pow l 2) (- (* (pow l 2) (- (* -4 (/ (* (pow l 2) (* (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (+ (* -1/2 (/ (cos (* -2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))) (pow Om 4))) (* -2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -1/2 (/ (cos (* -2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2))))) (pow Om 2))))) (+ (* -1/2 (/ (cos (* -2 ky)) (pow Om 2))) (* 1/2 (/ 1 (pow Om 2)))))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(/ (+ (* -1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (pow l 2))
(/ (- (+ (* 1/16 (/ (pow Om 6) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (pow l 2))
(/ (- (+ (* -1/32 (/ (pow Om 8) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/16 (/ (pow Om 6) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(/ (+ (* -1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (pow l 2))
(/ (- (+ (* 1/16 (/ (pow Om 6) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (pow l 2))
(/ (- (+ (* -1/32 (/ (pow Om 8) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4)))) (* 1/4 (/ (pow Om 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/16 (/ (pow Om 6) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/8 (/ (pow Om 4) (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (pow l 2))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -2 (/ (pow l 4) (pow Om 4))) (* -1/3 (/ (pow l 2) (pow Om 2)))))) (/ (pow l 2) (pow Om 2)))))
(+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -2 (/ (* (pow l 2) (+ (* -2 (/ (pow l 4) (pow Om 4))) (* -1/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 2/45 (/ (pow l 2) (pow Om 2))) (* 2/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -2 (/ (pow l 4) (pow Om 4))) (* -1/3 (/ (pow l 2) (pow Om 2)))))) (/ (pow l 2) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ 1/2 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* (pow Om 2) (+ (* -1/8 (/ (pow Om 2) (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/16 (/ (pow Om 2) (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/32 (/ (pow Om 2) (* (pow l 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4)))) (* 1/16 (/ 1 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(- (+ 1/2 (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4)))) (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(- (+ 1/2 (* -4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6)))) (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(- (+ 1/2 (* 2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4)))) (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(- (+ 1/2 (* -4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6)))) (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))
(+ (* -1/2 (* (/ (* Om (pow ky 2)) l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))
(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* 1/2 (* (/ (* Om (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* Om (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/2 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))
(+ (* -1/2 (* (/ (* Om (pow kx 2)) l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))
(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* 1/2 (* (/ (* Om (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* Om (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow ky 2) (pow l 2)) (pow Om 2))
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (/ (pow l 2) (pow Om 2))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* 2/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))) (/ (pow l 2) (pow Om 2))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow ky 2) (pow l 2))
(* (pow ky 2) (+ (* -1/3 (* (pow ky 2) (pow l 2))) (pow l 2)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow ky 2) (pow l 2))))) (pow l 2)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) (pow l 2))) (* 2/45 (pow l 2)))))) (pow l 2)))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (pow ky 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (pow kx 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(+ 1 (cos (* -2 kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ 1 (cos (* -2 ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 Om Om)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal -4/3 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 Om Om)) #s(literal 8/45 binary64) (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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1
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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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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
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1/2
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1/2
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(sqrt 1/2)
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(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
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(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))
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(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4)))))
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(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1/4))))))
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(* -1/2 (* (sqrt (/ Om (* l (sin kx)))) (sqrt -1)))
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(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin kx) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin kx) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin kx))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin kx)) (pow Om 3))) (sqrt -1))))))))
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(* (sqrt (/ Om (* l (sin kx)))) (sqrt -1/4))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 kx)))) (sqrt.f64 #s(literal -1/4 binary64)))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin kx)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin kx))) (sqrt -1/4))) l)
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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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(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin kx) 3) (pow (sqrt 1/2) 5))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin kx) (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
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(* (sqrt (/ Om (* kx l))) (sqrt -1/4))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 Om (.f64 l kx))))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow kx 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om kx) l)) (sqrt -1/4))) kx)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 kx (.f64 kx kx))) Om)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 Om kx) l)))) kx)
(/ (+ (* (sqrt (/ (* Om kx) l)) (sqrt -1/4)) (* (pow kx 2) (+ (* -1/48 (* (sqrt (/ (* Om kx) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om kx))) (/ 1 (sqrt -1/4))))))) kx)
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1
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1
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1
#s(literal 1 binary64)
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(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
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(sqrt (+ 1/2 (* 1/2 (/ 1 (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -4 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -4 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))) (* 1/2 (/ (- (* 2 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))) (* 2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ (pow Om 2) (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 (.f64 ky ky) (/.f64 (.f64 l l) (neg.f64 (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow ky 2) (+ (* -4 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))))))
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1/2
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1
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/32 (/ (pow Om 2) (* (pow l 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4)))) (* 1/16 (/ 1 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* 1/8 (/ 1 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))) (* 1/4 (/ 1 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
Om
(sqrt 1/2)
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(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
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(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
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(* Om (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))))))
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(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
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(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
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(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
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(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
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(* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ Om l))))
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(/ (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l))))) l)
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(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))))) l)))
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(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
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(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))
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(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* 1/2 (* (/ (* Om (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
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(+ (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* Om (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 Om (.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) l) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) l)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (/.f64 Om l)))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
(* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))
(.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))))))
(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 #s(literal -2 binary64) ky)) #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) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))
(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) ky)) #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) ky)) #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) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))) #s(literal 1 binary64))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(.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) ky)) #s(literal 1/2 binary64))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(.f64 l (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(.f64 l (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) ky)) #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 #s(literal -2 binary64) ky)) #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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(.f64 l (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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 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) ky)) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(.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) ky)) #s(literal 1/2 binary64))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 #s(literal -2 binary64) ky)) #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 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(.f64 (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) ky)) #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 #s(literal -2 binary64) ky)) #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 #s(literal -2 binary64) ky)) #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 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))
(.f64 (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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 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) ky)) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))))))) (neg.f64 l))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(.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) ky)) #s(literal 1/2 binary64))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/4 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) ky)) #s(literal 1/2 binary64)))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/.f64 (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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) l))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
(/.f64 (fma.f64 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) #s(literal -1/64 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) ky)) #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 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) l))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (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 ky))))) (pow Om 2)))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
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(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))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(+ 1/2 (* -1/2 (cos (* -2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
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(/ (* (pow ky 2) l) Om)
(/.f64 (.f64 l (.f64 ky ky)) Om)
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l 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)))
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(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
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(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
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kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
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(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
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(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
(/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))
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(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))
(sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(fma.f64 (.f64 ky ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))))) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx))))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(sqrt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))
(+ 1 (cos (* -2 kx)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 ky ky) (cos.f64 (.f64 #s(literal -2 binary64) kx))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/3 binary64) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -2 binary64) kx))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ 1 (cos (* -2 ky)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 kx kx) (cos.f64 (.f64 #s(literal -2 binary64) ky))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal 2/3 binary64) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -2 binary64) ky))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx)))

eval398.0ms (2.8%)

Memory: 50.3MiB live, 352.5MiB allocated
Compiler: Compiled 48 071 to 4 707 computations (90.2% saved)

prune259.0ms (1.8%)

Memory

-27.7MiB live, 312.6MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1 561	4	1 565
Fresh	1	4	5
Picked	1	4	5
Done	0	4	4
Total	1 563	16	1 579

Accuracy

100.0%

Counts

1 579 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.7%	(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
	46.8%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
	33.8%	(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) kx)
	42.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
	42.7%	(sqrt.f64 (fma.f64 (/.f64 Om (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	35.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	33.3%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	81.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	91.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	91.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64)))
✓	92.2%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	81.3%	(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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	50.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
	70.6%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	57.6%	(sqrt.f64 #s(literal 1/2 binary64))
✓	61.2%	#s(literal 1 binary64)

Compiler

Compiled 942 to 445 computations (52.8% saved)

regimes191.0ms (1.3%)

Memory

-11.4MiB live, 261.4MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 (/.f64 Om (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) 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:

25.0ms	l
20.0ms	(sin.f64 ky)
16.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
10.0ms	(.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))))
10.0ms	(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))))))))))

Results

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

regimes190.0ms (1.3%)

Memory

20.6MiB live, 329.5MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 (/.f64 Om (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

19 calls:

27.0ms	(/.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)))))))
25.0ms	(.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)))))))))
11.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
10.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
9.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
95.5%	2	`l`
95.1%	2	`Om`
92.7%	1	`kx`
96.8%	3	`ky`
99.0%	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))))))))))`
99.0%	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)))))))))`
99.0%	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))))))))`
99.0%	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)))))))`
99.6%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.6%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
98.9%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.9%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
95.5%	2	`(*.f64 #s(literal 2 binary64) l)`
96.8%	3	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
92.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
92.7%	1	`(sin.f64 kx)`
96.8%	3	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
96.7%	3	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes28.0ms (0.2%)

Memory

-11.5MiB live, 33.1MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
99.5%	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))))))`
99.5%	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)))))`
99.5%	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))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes20.0ms (0.1%)

Memory

5.8MiB live, 45.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) 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
99.0%	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))))))`
99.0%	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)))))`
99.0%	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))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes38.0ms (0.3%)

Memory

17.3MiB live, 94.6MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

9 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))))))
4.0ms	(.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)))))))))
4.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
4.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
4.0ms	(/.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
97.9%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
97.9%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.0%	2	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
98.0%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
98.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
98.0%	2	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
98.5%	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))))`

Compiler

Compiled 207 to 142 computations (31.4% saved)

regimes13.0ms (0.1%)

Memory

-9.4MiB live, 33.0MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 Om (.f64 (.f64 l (sin.f64 kx)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))

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

Calls

3 calls:

5.0ms

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

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)))))

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))))))

Results

Accuracy	Segments	Branch
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))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes28.0ms (0.2%)

Memory

1.3MiB live, 78.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

19 calls:

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))))))
2.0ms	ky
1.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
1.0ms	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
1.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
61.2%	1	`kx`
61.2%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
61.2%	1	`(sin.f64 kx)`
61.2%	1	`Om`
61.2%	1	`(sin.f64 ky)`
61.2%	1	`ky`
61.2%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
61.2%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
61.2%	1	`l`
61.2%	1	`(*.f64 #s(literal 2 binary64) l)`
61.2%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
61.2%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
61.2%	1	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
61.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
61.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
61.2%	1	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
61.2%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
61.2%	1	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
61.2%	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

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3217648957.4868584	183454488189.47748

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3797794517774028e+28	4.795987267165286e+39

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2439118171839643e+26	1.3797794517774028e+28

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2439118171839643e+26	1.3797794517774028e+28

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00019050964055744452	3217648957.4868584

Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify10.0ms (0.1%)

Memory

-11.2MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	274
1	105	274

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 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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 5000000000 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(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 19999999999999999166239473664 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 400000000000000019058917376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 400000000000000019058917376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 7378697629483821/36893488147419103232 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 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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 5000000000 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(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 5000000000 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) 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)))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(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 19999999999999999166239473664 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) 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)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 19999999999999999166239473664 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (/.f64 (.f64 l #s(literal 4 binary64)) 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)))))) (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 400000000000000019058917376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 400000000000000019058917376 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l 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 400000000000000019058917376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 400000000000000019058917376 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 l Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om))) #s(literal 1 binary64))))) (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 7378697629483821/36893488147419103232 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness1.2s (8.3%)

Memory

14.3MiB live, 1 404.3MiB 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	582	10419
1	1932	10186
2	7931	10184
0	8041	9659
0	63	425
1	337	425
2	2686	425
0	8259	392
0	22	116
1	114	113
2	909	113
0	8496	109
0	55	383
1	298	370
2	2531	350
0	9028	321
0	1458	21541
1	4668	21290
0	8624	19713
0	1699	35495
1	5659	35315
0	8105	32763
0	55	401
1	347	374
2	3705	346
0	8543	314

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 511 to 260 computations (49.1% saved)

preprocess117.0ms (0.8%)

Memory

-1.3MiB live, 288.9MiB allocated

Remove

(sort kx ky)

(abs ky)

(abs kx)

Compiler

Compiled 2 806 to 1 490 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (1%)

sample2.0s (14.3%)

preprocess314.0ms (2.2%)

explain383.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify318.0ms (2.2%)

localize84.0ms (0.6%)

series85.0ms (0.6%)

rewrite565.0ms (4%)

simplify512.0ms (3.6%)

eval148.0ms (1%)

prune152.0ms (1.1%)

simplify324.0ms (2.3%)

localize667.0ms (4.7%)

series228.0ms (1.6%)

rewrite417.0ms (2.9%)

simplify681.0ms (4.8%)

eval681.0ms (4.8%)

prune245.0ms (1.7%)

simplify99.0ms (0.7%)

localize289.0ms (2%)

series157.0ms (1.1%)

rewrite360.0ms (2.5%)

simplify515.0ms (3.6%)

eval204.0ms (1.4%)

prune186.0ms (1.3%)

simplify302.0ms (2.1%)

localize281.0ms (2%)

series97.0ms (0.7%)

rewrite445.0ms (3.1%)

simplify807.0ms (5.7%)

eval398.0ms (2.8%)

prune259.0ms (1.8%)

regimes191.0ms (1.3%)

regimes190.0ms (1.3%)

regimes28.0ms (0.2%)

regimes20.0ms (0.1%)

regimes38.0ms (0.3%)

regimes13.0ms (0.1%)

regimes28.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.2s (8.3%)

preprocess117.0ms (0.8%)

end0.0ms (0%)

Profiling