Metrics for Toniolo and Linder, Equation (3a)

analyze134.0ms (1%)

Memory

-21.2MiB live, 259.5MiB 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)

sample2.1s (15.4%)

Memory

57.3MiB live, 3 941.1MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 392.0ms (31.9% of total)

ival-pow2: 254.0ms (20.7% of total)

ival-div: 178.0ms (14.5% of total)

ival-mult: 165.0ms (13.4% of total)

ival-sqrt: 112.0ms (9.1% of total)

ival-add: 110.0ms (9% of total)

exact: 8.0ms (0.7% of total)

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

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

Bogosity

preprocess330.0ms (2.4%)

Memory

-17.8MiB live, 441.9MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs l)

(abs Om)

(abs kx)

(abs ky)

(sort kx ky)

explain508.0ms (3.6%)

Memory

7.9MiB live, 802.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
27	0	-	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))))))`
14	0	-	1	(1.0012420198559994e+23 6.750454856278213e-13 2.126137516165622e-175 4.3730689862602004e-156)	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	1	(8.492365538860343e+36 5.1319654877653155e-287 5.9088904665111056e-288 9.719131775981405e+177)	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)))))))`
0	0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	0	-	0	-	`Om`
0	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	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) l)`
0	0	-	0	-	`(sin.f64 ky)`
0	0	-	0	-	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
0	0	-	0	-	`kx`
0	0	-	0	-	`ky`
0	0	-	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	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	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
0	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	-	0	-	`(sin.f64 kx)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	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	-	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	27	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	27
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	28
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	overflow	54
↳	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`	overflow	54
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	62
`*.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**	1	0
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	28
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	62
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	110
↳	`(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 -
+	2	2
-	31	221

Precision

0.06060606060606061

Recall

0.5

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	2
-	31	0	221

Precision?

0.06060606060606061

Recall?

0.5

Freqs

test

number	freq
0	223
1	33

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: 77.0ms

ival-sin: 25.0ms (32.7% of total)

ival-pow2: 15.0ms (19.6% of total)

ival-div: 13.0ms (17% of total)

ival-mult: 9.0ms (11.8% of total)

ival-add: 7.0ms (9.1% of total)

ival-sqrt: 7.0ms (9.1% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% 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)

prune3.0ms (0%)

Memory

-36.6MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) 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

▶

98.6%

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

simplify206.0ms (1.5%)

Memory

38.7MiB live, 315.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
✓	cost-diff	6208	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize97.0ms (0.7%)

Memory

-15.2MiB live, 150.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
✓	accuracy	95.0%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	90.1%	(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))))))

Samples

58.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sqrt: 12.0ms (26.9% of total)

ival-sin: 11.0ms (24.6% of total)

ival-pow2: 8.0ms (17.9% of total)

ival-div: 5.0ms (11.2% of total)

ival-mult: 4.0ms (9% of total)

ival-add: 3.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series93.0ms (0.7%)

Memory

-2.7MiB live, 184.2MiB allocated

Counts

8 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite480.0ms (3.4%)

Memory

24.3MiB live, 812.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 435

Calls

Call 1

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

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

simplify526.0ms (3.8%)

Memory

-26.8MiB live, 863.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval110.0ms (0.8%)

Memory: 12.6MiB live, 241.8MiB allocated
Compiler: Compiled 37 637 to 4 217 computations (88.8% saved)

prune87.0ms (0.6%)

Memory

-5.9MiB live, 195.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

99.9%

Counts

712 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
▶	85.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om))))))))
▶	46.8%	(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)))))))
▶	64.8%	(sqrt.f64 #s(literal 1 binary64))
▶	53.5%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 206 to 156 computations (24.3% saved)

simplify646.0ms (4.6%)

Memory

18.3MiB live, 852.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

20 988×	`accelerator-lowering-fma.f32`
20 988×	`accelerator-lowering-fma.f64`
5 554×	`+-lowering-+.f64`
5 554×	`+-lowering-+.f32`
4 972×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	586
1	120	564
2	335	546
3	1505	546
4	4009	546
5	6323	546
6	6462	546
7	6533	546
8	6572	546
9	6580	546
0	9325	485

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize533.0ms (3.8%)

Memory

4.4MiB live, 434.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	96.2%	(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	accuracy	89.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om)))))
✓	accuracy	75.2%	(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.3%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
✓	accuracy	89.2%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	95.0%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
✓	accuracy	90.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
✓	accuracy	83.1%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	74.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))

Samples

205.0ms	99×	2	valid
84.0ms	74×	0	valid
71.0ms	83×	1	valid

Compiler

Compiled 559 to 55 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-cos: 72.0ms (31% of total)

ival-add: 41.0ms (17.7% of total)

ival-mult: 35.0ms (15.1% of total)

ival-div: 24.0ms (10.3% of total)

ival-sqrt: 21.0ms (9% of total)

ival-sin: 15.0ms (6.5% of total)

adjust: 13.0ms (5.6% of total)

ival-hypot: 6.0ms (2.6% of total)

ival-pow2: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series234.0ms (1.7%)

Memory

5.2MiB live, 170.7MiB allocated

Counts

23 → 720

Calls

Call 1

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

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

180 calls:

Time	Variable		Point	Expression
32.0ms	ky	@	0	(* (/ 1 2) (+ 1 (/ 1 (* (/ (* 2 l) Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))))
21.0ms	Om	@	inf	(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (/ (* 4 (* (* l l) (pow (sin ky) 2))) (* Om Om))))))))
16.0ms	kx	@	-inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) 1/2))
6.0ms	Om	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) 1/2))
5.0ms	ky	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) 1/2))

rewrite468.0ms (3.4%)

Memory

30.7MiB live, 529.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 878×	`/-lowering-/.f32`
3 878×	`/-lowering-/.f64`
3 490×	`-lowering-.f32`
3 490×	`-lowering-.f64`
2 692×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	401
1	313	316
2	3098	306
0	8572	259

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 698

Calls

Call 1

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

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

simplify599.0ms (4.3%)

Memory

3.5MiB live, 1 186.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 902×	`-lowering-.f32`
7 902×	`-lowering-.f64`
6 300×	`accelerator-lowering-fma.f32`
6 300×	`accelerator-lowering-fma.f64`
4 516×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1658	27756
1	5557	27122
0	8283	25262

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

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

Outputs
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (*.f64 kx kx))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal -1/3 binary64))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (*.f64 ky ky)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 ky ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 2/45 binary64) (.f64 ky ky)) #s(literal -1/3 binary64)))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -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))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))) (.f64 Om Om))))) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))))))))
(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))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
(+ (sqrt 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)))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l l) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 #s(literal 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 (+ (* -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)))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l l) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l (*.f64 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 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
(+ (sqrt 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)))
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(sqrt 1/2)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) l)
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(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
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(* -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))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) l))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))
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(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(.f64 Om (+.f64 (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) l))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
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(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
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1/2
#s(literal 1/2 binary64)
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (.f64 #s(literal 1/128 binary64) (.f64 (.f64 Om (.f64 Om Om)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l (*.f64 l l))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/32 (/ (* (pow Om 2) (sqrt 1/2)) (* l (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 l (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow Om 2) (sqrt 1/2)) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* 1/128 (* (/ (* (pow Om 3) (sqrt 1/2)) l) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/4 (* (* Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 Om Om) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/128 binary64) (.f64 (.f64 Om (*.f64 Om Om)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) l)) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (* (/ (* Om (sqrt 1/2)) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/32 (/ (* Om (sqrt 1/2)) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/4 (* (/ (sqrt 1/2) l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (+ (* -1/32 (/ (sqrt 1/2) (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/128 (* (/ (* Om (sqrt 1/2)) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
(* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (pow (sqrt 1/2) 2)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l))))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2))))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l))))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal 1/2 binary64)))))
(* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ 1 (pow (sqrt 1/2) 2))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ 1 (pow (sqrt 1/2) 4))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (pow (sqrt 1/2) 2)))))))
(.f64 Om (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal 1/2 binary64))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l))))) (.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 (.f64 (sqrt.f64 (/.f64 Om l)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(* -1 (* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 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 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2)))))))))
(.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/8 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 3))))) (+ (* 1/16 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (* (sqrt -1) (sqrt 1/2)) (pow (sqrt -1/2) 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (* (sqrt -1) (sqrt 1/2)) (sqrt -1/2))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 1/2))))))))))
(.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) l)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))))) (neg.f64 Om))
(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(+ (* -1/8 (* (/ (* Om (* (pow kx 2) (sqrt 1/2))) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 kx kx) Om) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))))
(+ (* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ Om (* l (sin ky))))))) (* (pow kx 2) (+ (* -1/8 (* (/ (* Om (sqrt 1/2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (* (sqrt 1/2) (- (* 1/4 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/64 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1 (* 1/2 (/ Om (* l (sin ky)))))))))))) (sqrt (/ 1 (+ 1 (* 1/2 (/ Om (* l (sin ky))))))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))) (.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 Om (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 Om (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) l) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
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1
#s(literal 1 binary64)
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(sqrt 1/2)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow l 7) (pow (sin ky) 7)))) (* 3/256 (/ 1 (* (pow l 5) (pow (sin ky) 5)))))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
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1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal -1/3 binary64))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
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(+ 1/2 (* -1/2 (cos (* 2 kx))))
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(+ 1/2 (* -1/2 (cos (* 2 kx))))
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(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 ky ky))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))
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(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
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(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
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(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
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(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
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(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
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(+ 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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(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (/ (* l (sin ky)) Om))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (sin.f64 ky))) Om)
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(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (/ (* l (sin kx)) Om))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (sin.f64 kx))) Om)
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(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* 2 (* (/ l Om) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(sin ky)
(sin.f64 ky)
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(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(.f64 #s(literal 4 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (*.f64 Om Om))))
(* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 #s(literal -4/3 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))
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(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -4/315 binary64))))))))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow ky 2) (pow l 2))
(.f64 (.f64 ky ky) (*.f64 l l))
(* (pow ky 2) (+ (* -1/3 (* (pow ky 2) (pow l 2))) (pow l 2)))
(.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 ky ky))) (.f64 l l)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow ky 2) (pow l 2))))) (pow l 2)))
(.f64 (.f64 ky ky) (+.f64 (.f64 l l) (.f64 (.f64 ky ky) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 2/45 binary64) (*.f64 ky ky)) #s(literal -1/3 binary64))))))
(* (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)))
(.f64 (.f64 ky ky) (+.f64 (.f64 l l) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l)) (.f64 (.f64 ky ky) (.f64 (.f64 l l) (+.f64 #s(literal 2/45 binary64) (.f64 (*.f64 ky ky) #s(literal -1/315 binary64)))))))))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* (pow l 2) (pow (sin ky) 2))
(.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 ky ky))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 2/45 binary64) (.f64 ky ky)) #s(literal -1/3 binary64)))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 ky ky) #s(literal -1/315 binary64)))) #s(literal -1/3 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))

eval276.0ms (2%)

Memory: 2.3MiB live, 557.9MiB allocated
Compiler: Compiled 62 693 to 6 728 computations (89.3% saved)

prune169.0ms (1.2%)

Memory

-6.5MiB live, 386.9MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 409	9	1 418
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 413	10	1 423

Accuracy

99.9%

Counts

1 423 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 l l)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))))
▶	48.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
	47.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om)))
▶	46.8%	(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	92.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
	92.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
▶	44.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
	43.9%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
✓	53.5%	(sqrt.f64 #s(literal 1/2 binary64))
▶	64.8%	#s(literal 1 binary64)

Compiler

Compiled 416 to 306 computations (26.4% saved)

simplify417.0ms (3%)

Memory

4.7MiB live, 679.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

12 038×	`accelerator-lowering-fma.f32`
12 038×	`accelerator-lowering-fma.f64`
5 354×	`-lowering-.f32`
5 354×	`-lowering-.f64`
2 378×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	523
1	109	523
2	313	517
3	1207	517
4	3909	517
5	5524	517
6	6098	517
7	6217	517
8	6292	517
9	6314	517
10	6317	517
11	7794	517
0	8259	467

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize278.0ms (2%)

Memory

-17.5MiB live, 453.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 l Om))
✓	accuracy	91.1%	(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
✓	accuracy	96.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 l l))
✓	accuracy	83.5%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
✓	accuracy	81.5%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky)))))
✓	accuracy	99.7%	(*.f64 l (sin.f64 ky))
✓	accuracy	97.6%	(/.f64 Om (*.f64 l (sin.f64 ky)))
✓	accuracy	91.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))
✓	accuracy	95.0%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
✓	accuracy	90.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
✓	accuracy	83.5%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))

Samples

79.0ms	45×	1	valid
76.0ms	143×	0	valid
22.0ms	53×	0	invalid
16.0ms	15×	2	valid

Compiler

Compiled 505 to 48 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-mult: 63.0ms (40% of total)

ival-cos: 21.0ms (13.3% of total)

ival-hypot: 19.0ms (12.1% of total)

ival-div: 16.0ms (10.2% of total)

ival-sin: 13.0ms (8.3% of total)

ival-add: 12.0ms (7.6% of total)

ival-sqrt: 9.0ms (5.7% of total)

adjust: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series163.0ms (1.2%)

Memory

2.2MiB live, 280.4MiB allocated

Counts

22 → 840

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (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)) (cos (* 2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))))) (* -1/2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))) (* 1/2 (* (* (pow kx 2) (- (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3)))))))) (* 1/4 (/ (pow l 4) (* (pow Om 4) (* (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))) 3))))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))))))))>
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#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2)))>
#<alt (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2))))>
#<alt (+ (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 kx)))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* ky l)>
#<alt (* ky (+ l (* -1/6 (* (pow ky 2) l))))>
#<alt (* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))>
#<alt (* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (+ 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)))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (* 1/2 (/ Om l))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>

Calls

210 calls:

Time	Variable		Point	Expression
37.0ms	ky	@	inf	(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
10.0ms	kx	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) 1/2))
5.0ms	l	@	-inf	(+ 1 (/ (* -1/2 (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (* l l))) (* Om Om)))
5.0ms	ky	@	0	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) 1/2))
3.0ms	kx	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) 1/2))

rewrite434.0ms (3.1%)

Memory

4.5MiB live, 679.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 326×	`-lowering-.f32`
6 326×	`-lowering-.f64`
4 020×	`/-lowering-/.f32`
4 020×	`/-lowering-/.f64`
2 542×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	356
1	285	356
2	2690	346
0	9571	309

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 580

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) #s(literal -1/4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 3/2 binary64))) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 3/2 binary64))) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) #s(literal -1/4 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))) #s(literal -1/4 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l)))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 Om (.f64 (/.f64 #s(literal 4 binary64) (/.f64 Om l)) l))))))))) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx)))))) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (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 #s(literal 2 binary64) ky)))) (.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky))))))) (.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(pow.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) ky)) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (cos.f64 (.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 #s(literal 2 binary64) ky)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.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) ky))))))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 kx ky)) #s(literal 2 binary64))) (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 kx ky)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 kx ky)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) ky) (*.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 2 binary64))) (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 kx ky)) #s(literal 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 #s(literal 2 binary64) ky)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) kx))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (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 #s(literal 2 binary64) ky)))))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 kx ky)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 kx ky)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 l Om) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 l Om)))
(/.f64 #s(literal 1/2 binary64) (/.f64 l Om))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l Om) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l Om) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 l Om)))
(/.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 #s(literal 1 binary64) Om))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l Om) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) Om)) (-.f64 #s(literal 0 binary64) l))
(pow.f64 (/.f64 (/.f64 l Om) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 l Om) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 Om l))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (/.f64 Om l) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 Om l)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) Om) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) Om)
(.f64 (.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) Om))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64))))
(pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 1/4 binary64)))

simplify625.0ms (4.5%)

Memory

15.7MiB live, 1 068.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 500×	`-lowering-.f32`
9 500×	`-lowering-.f64`
7 384×	`accelerator-lowering-fma.f32`
7 384×	`accelerator-lowering-fma.f64`
5 504×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1531	27806
1	4893	27680
0	9190	25905

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2) (pow Om 4))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))) (.f64 Om Om))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))))))))
(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))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
(+ (sqrt 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)))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/512 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l (*.f64 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 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (/.f64 (.f64 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 #s(literal 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 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))
(+ (sqrt 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))))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) Om) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 l (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 (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 Om (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 l (.f64 l l)))) #s(literal 1/512 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 Om Om)))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))))))) (pow Om 6))))))
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(/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l)
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(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))) l)
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(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) l)
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(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))
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(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))) l))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))) l))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* Om (pow l 6))) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) l))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))
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(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)))) (pow Om 4)))))
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1/2
#s(literal 1/2 binary64)
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(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(.f64 l (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) Om))) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
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(* -2 (* (/ l Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))
(.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) Om))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))))
(-.f64 #s(literal 0 binary64) (.f64 l (+.f64 (+.f64 (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))) (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) Om))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) l)) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) #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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64)))))))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (*.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)) (pow Om 6))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)))) (pow.f64 Om #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (*.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (* -1/2 (+ (cos (* 2 kx)) (cos (* 2 ky))))) 3)) (pow Om 6))))))
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(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 Om Om))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (* -1/2 (+ 1 (cos (* 2 ky)))))) (pow Om 2)))))))))
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(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
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(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) Om) (.f64 (.f64 l (.f64 l l)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (*.f64 Om Om)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3)))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (*.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))))
(.f64 Om (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64))))))))
(* -1 (* (sqrt (/ Om (* l (sin ky)))) (* (sqrt -1) (sqrt -1/4))))
(.f64 (.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -1/4 binary64))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4)))))))
(-.f64 #s(literal 0 binary64) (.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))))) (neg.f64 Om))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin ky)) Om)))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky))) (sqrt.f64 (.f64 (.f64 l (*.f64 l l)) (/.f64 (sin.f64 ky) Om))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3)))) (* 1/2 (sqrt (/ (sin ky) (* Om l))))))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 Om (.f64 Om Om))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (sin.f64 ky) Om) l)))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin ky) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))))))))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (sin.f64 ky) Om) l))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (*.f64 l (pow.f64 Om #s(literal 5 binary64))))))))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2)))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
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(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 Om (/.f64 ky l))) (sqrt.f64 (.f64 (.f64 ky (*.f64 ky ky)) (/.f64 l Om))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(* 1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (sin.f64 ky)) (.f64 l #s(literal 1/2 binary64))) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (sin.f64 ky)) (.f64 l #s(literal 1/2 binary64))) l)
(/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) (sin.f64 ky)) (.f64 l #s(literal 1/2 binary64))) l)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
(* 1/4 (/ Om (* ky l)))
(.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (.f64 ky #s(literal 1/2 binary64))) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* 1/24 (/ (* Om ky) l))))) ky)
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (.f64 ky (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 Om (/.f64 ky l)) #s(literal 1/24 binary64))))) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))))) ky)
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (.f64 ky (+.f64 #s(literal 1/2 binary64) (.f64 ky (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 ky ky)) (.f64 (/.f64 Om l) #s(literal -7/360 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) Om) l)))))) ky)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 Om Om) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 (/.f64 Om (.f64 l l)) (/.f64 (*.f64 Om Om) l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1/128 binary64) (.f64 l (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 Om Om) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (/.f64 (+.f64 (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 Om Om) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) l)) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) Om) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 Om (+.f64 (.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 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 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)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))))
(* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l Om)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 Om #s(literal 5 binary64))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l Om))))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (*.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 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(-.f64 #s(literal 0 binary64) (.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.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) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.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 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.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) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64))))))) (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.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) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))))))) (neg.f64 Om))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))) (* -1/16 (* (/ (* Om (pow kx 2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 kx kx)) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (*.f64 l (sin.f64 ky))))))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (- (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 Om l) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 Om (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) l)) (.f64 (/.f64 (.f64 Om Om) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))) #s(literal -1/256 binary64)))))))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))) (- (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/8 (/ (* Om (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))) l)) (* -1/16 (/ (* Om (- (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))) (* l (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))))))
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1/2
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(.f64 ky (+.f64 l (.f64 #s(literal -1/6 binary64) (.f64 l (.f64 ky ky)))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(.f64 ky (+.f64 l (.f64 (.f64 ky ky) (+.f64 (.f64 l #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 l (*.f64 ky ky)))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(.f64 ky (+.f64 l (.f64 (.f64 ky ky) (+.f64 (.f64 l #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 l (.f64 ky ky))) (.f64 l #s(literal 1/120 binary64))))))))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(+ 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) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (.f64 (*.f64 kx kx) #s(literal -2 binary64))))
(+ 1 (+ (cos (* 2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (*.f64 kx kx) #s(literal 2/3 binary64)) #s(literal -2 binary64)))))
(+ 1 (+ (cos (* 2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 kx kx) #s(literal -4/45 binary64)))) #s(literal -2 binary64))))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ 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) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 (*.f64 ky ky) #s(literal -2 binary64))))
(+ 1 (+ (cos (* 2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/3 binary64)) #s(literal -2 binary64)))))
(+ 1 (+ (cos (* 2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 ky ky) #s(literal -4/45 binary64)))) #s(literal -2 binary64))))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(+ (cos (* 2 kx)) (cos (* 2 ky)))
(+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(* 1/2 (/ Om l))
(/.f64 (*.f64 #s(literal 1/2 binary64) Om) l)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (.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) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (sin.f64 ky)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.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) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

eval208.0ms (1.5%)

Memory: 22.1MiB live, 359.4MiB allocated
Compiler: Compiled 56 655 to 4 970 computations (91.2% saved)

prune165.0ms (1.2%)

Memory

-40.5MiB live, 248.9MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 518	3	1 521
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	1 520	11	1 531

Accuracy

99.9%

Counts

1 531 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 l l)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))))
▶	48.3%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (.f64 Om Om)))
✓	48.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
▶	46.8%	(sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	92.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
▶	92.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
✓	44.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
▶	48.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))))
▶	43.9%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
✓	53.5%	(sqrt.f64 #s(literal 1/2 binary64))
✓	64.8%	#s(literal 1 binary64)

Compiler

Compiled 368 to 271 computations (26.4% saved)

simplify538.0ms (3.9%)

Memory

38.2MiB live, 506.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

14 698×	`accelerator-lowering-fma.f32`
14 698×	`accelerator-lowering-fma.f64`
4 860×	`-lowering-.f32`
4 860×	`-lowering-.f64`
2 616×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	461
1	112	461
2	337	455
3	1294	455
4	3367	455
5	5246	455
6	6783	455
7	7111	455
8	7176	455
9	7218	455
0	8150	402

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize259.0ms (1.9%)

Memory

11.1MiB live, 247.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.1%	(/.f64 #s(literal 1/4 binary64) (/.f64 l Om))
✓	accuracy	98.1%	(sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky)))))
✓	accuracy	99.8%	(/.f64 Om (*.f64 l (sin.f64 ky)))
✓	accuracy	99.8%	(*.f64 l (sin.f64 ky))
✓	accuracy	98.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
✓	accuracy	99.5%	(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	97.4%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))
✓	accuracy	93.2%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	accuracy	83.9%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (.f64 Om Om))
✓	accuracy	100.0%	(*.f64 l ky)
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))))
✓	accuracy	96.0%	(/.f64 Om (*.f64 l ky))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
✓	accuracy	96.9%	(.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
✓	accuracy	93.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
✓	accuracy	90.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))

Samples

70.0ms	145×	0	valid
34.0ms	91×	0	invalid
14.0ms	20×	1	valid

Compiler

Compiled 445 to 52 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 20.0ms (24.9% of total)

ival-div: 15.0ms (18.7% of total)

ival-add: 11.0ms (13.7% of total)

ival-sin: 10.0ms (12.5% of total)

ival-cos: 9.0ms (11.2% of total)

ival-sqrt: 9.0ms (11.2% of total)

ival-hypot: 4.0ms (5% of total)

adjust: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series101.0ms (0.7%)

Memory

-13.3MiB live, 104.4MiB allocated

Counts

27 → 864

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))>
#<alt (+ (sqrt 1/2) (+ (* -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))))))))))>
#<alt (+ (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)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))>
#<alt (+ (sqrt 1/2) (* -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)))>
#<alt (+ (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)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))>
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#<alt (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (* 1/4 (/ Om l))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* ky l)>
#<alt (* (pow ky 2) (pow l 2))>
#<alt (* (pow ky 2) (+ (* -1/3 (* (pow ky 2) (pow l 2))) (pow l 2)))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow ky 2) (pow l 2))))) (pow l 2)))>
#<alt (* (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)))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt -1>
#<alt (- (pow ky 2) 1)>
#<alt (- (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) 1)>
#<alt (- (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) 1)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 ky))) 1/2)>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* ky l)>
#<alt (* ky (+ l (* -1/6 (* (pow ky 2) l))))>
#<alt (* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))>
#<alt (* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (* l (sin ky))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>

Calls

216 calls:

Time	Variable		Point	Expression
14.0ms	Om	@	0	(sqrt (+ 1/2 (* 1/4 (/ Om (* l ky)))))
11.0ms	l	@	-inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) 1/2))
3.0ms	l	@	0	(sqrt (+ 1/2 (* 1/4 (/ Om (* l ky)))))
3.0ms	ky	@	inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) 1/2))
2.0ms	ky	@	-inf	(sqrt (+ (/ 1/2 (sqrt (+ 1 (* (/ (* (/ l Om) 4) (/ Om l)) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) 1/2))

rewrite522.0ms (3.7%)

Memory

20.4MiB live, 568.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 186×	`/-lowering-/.f32`
4 186×	`/-lowering-/.f64`
3 548×	`-lowering-.f32`
3 548×	`-lowering-.f64`
2 660×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	342
1	306	298
2	2988	280
0	8490	248

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 929

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) Om) l)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l)))) #s(literal 3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l)))))) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))) #s(literal -1/4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l)))) #s(literal 3/2 binary64))))) (sqrt.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l)))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l)))) #s(literal 3/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 Om (.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) l))))))))))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky))))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky))))))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky))))))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky)))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) ky))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
(.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 l (sin.f64 ky))
(*.f64 (sin.f64 ky) l)
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)))))
(pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64)))

simplify928.0ms (6.6%)

Memory

-144.1MiB live, 1 086.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 788×	`-lowering-.f32`
8 788×	`-lowering-.f64`
6 656×	`accelerator-lowering-fma.f32`
6 656×	`accelerator-lowering-fma.f64`
4 936×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1481	18309
1	4605	18147
0	8553	17031

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 864

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4)))))))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) l)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) l))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))))
(* -1 (* (sqrt (/ Om (* ky l))) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* 1/2 (sqrt (/ (* ky (pow l 3)) Om)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* (pow ky 3) l) (pow Om 3)))) (* 1/2 (sqrt (/ ky (* Om l))))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* 1/2 (sqrt (/ ky (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow ky 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow ky 5) (* (pow Om 5) l))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* ky (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* l (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (* ky (pow l 3)) (pow Om 3)))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) (pow ky 3))))) (* 1/4 (sqrt (/ (pow l 5) (* (pow Om 5) ky))))))))) ky)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* l (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3)))))) ky)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* ky (* (pow l 3) (pow (sqrt 1/2) 5)))))) ky)) (* -1/8 (/ Om (* l (sqrt 1/2))))) ky)))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(* 1/4 (/ Om (* ky l)))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* -1/2 (* (pow ky 2) (pow l 2)))
(* (pow ky 2) (+ (* -1/2 (pow l 2)) (* 1/6 (* (pow ky 2) (pow l 2)))))
(* (pow ky 2) (+ (* -1/2 (pow l 2)) (* (pow ky 2) (+ (* -1/45 (* (pow ky 2) (pow l 2))) (* 1/6 (pow l 2))))))
(* (pow ky 2) (+ (* -1/2 (pow l 2)) (* (pow ky 2) (+ (* 1/6 (pow l 2)) (* (pow ky 2) (+ (* -1/45 (pow l 2)) (* 1/630 (* (pow ky 2) (pow l 2)))))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
1
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1
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1
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1
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(* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/6 (/ (pow l 2) (pow Om 2)))))))
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(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(sqrt 1/2)
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(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4)))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))
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(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))))
(+ (sqrt 1/2) (+ (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* -1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* -1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* 1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(* (sqrt (/ Om (* ky l))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow ky 3) l) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om ky) l)) (sqrt -1/4))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* -1/48 (* (sqrt (/ (* Om ky) l)) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4))))))) ky)
(/ (+ (* (sqrt (/ (* Om ky) l)) (sqrt -1/4)) (* (pow ky 2) (+ (* 1/4 (* (sqrt (/ l (* Om ky))) (/ 1 (sqrt -1/4)))) (* ky (+ (* -1/32 (* (sqrt (/ (pow l 3) (* (pow Om 3) ky))) (/ 1 (pow (sqrt -1/4) 3)))) (* -1/48 (* (sqrt (/ Om (* ky l))) (/ 1 (sqrt -1/4))))))))) ky)
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* -1/4 (/ Om (* l (sin ky))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(* -1/4 (/ Om (* l (sin ky))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (- (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* -1/4 (/ Om (* l (sin ky))))
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(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* 1/4 (/ 1 (* l (sin ky)))) (* 1/2 (/ 1 Om)))))
(* -1/4 (/ Om (* l (sin ky))))
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
(/ (+ (* -1/4 (/ Om (sin ky))) (* 1/2 l)) l)
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
1/2
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(* -1/4 (/ Om (* ky l)))
(/ (+ (* -1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* -1/4 (/ Om l)) (* ky (+ 1/2 (* -1/24 (/ (* Om ky) l))))) ky)
(/ (+ (* -1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/24 (/ Om l)) (* 1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))))) ky)
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* -1/4 (/ Om (* l (sin ky)))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* ky l)))
(/ (+ (* -1/4 (/ Om l)) (* -1/24 (/ (* Om (pow ky 2)) l))) ky)
(/ (+ (* -1/4 (/ Om l)) (* (pow ky 2) (+ (* -1/24 (/ Om l)) (* 1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) ky)
(/ (+ (* -1/4 (/ Om l)) (* (pow ky 2) (+ (* -1/24 (/ Om l)) (* (pow ky 2) (+ (* 1/4 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (* 1/4 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))))))) ky)
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(* -1/4 (/ Om (* l (sin ky))))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* ky l))
(/ (+ (* 1/6 (/ (* Om (pow ky 2)) l)) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (* Om l))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 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 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
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(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))) (* (pow ky 2) (+ (* -1/16 (* (/ Om (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (- (* 1/8 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))) (* (pow ky 2) (+ (* -1/16 (* (/ Om (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))) (- (* 1/8 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))))))))) (* 1/2 (* (* (pow ky 2) (- (* -1/8 (/ (* Om (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) l)) (* -1/16 (/ (* Om (- (* 1/8 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))) (* l (* (pow (sin kx) 3) (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 l)) l)
1/2
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1/2
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1/2
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/2 (/ 1 Om)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))
(+ 1/2 (+ (* -1/8 (/ (* Om (pow ky 2)) (* l (pow (sin kx) 3)))) (* 1/4 (/ Om (* l (sin kx))))))
(+ 1/2 (+ (* 1/4 (/ Om (* l (sin kx)))) (* (pow ky 2) (+ (* -1/8 (/ Om (* l (pow (sin kx) 3)))) (* 1/8 (/ (* Om (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) l))))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (+ (* 1/4 (/ Om (* l (sin ky)))) (* (pow kx 2) (+ (* -1/8 (/ Om (* l (pow (sin ky) 3)))) (* 1/8 (/ (* Om (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) l))))))
(+ 1/2 (+ (* 1/4 (/ Om (* l (sin ky)))) (* (pow kx 2) (+ (* -1/8 (/ Om (* l (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/8 (/ (* Om (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) l)) (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (/ Om (* l (sin ky))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* 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))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (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))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 8/45 (/ (pow l 2) (pow Om 2)))))))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* (pow ky 2) (pow l 2))
(* (pow ky 2) (+ (* -1/3 (* (pow ky 2) (pow l 2))) (pow l 2)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow ky 2) (pow l 2))))) (pow l 2)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) (pow l 2))) (* 2/45 (pow l 2)))))) (pow l 2)))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(* (pow 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)))))
-1
(- (pow ky 2) 1)
(- (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) 1)
(- (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) 1)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(- (* -1/2 (cos (* 2 ky))) 1/2)
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* ky l)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -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)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 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))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om)) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))) (.f64 Om Om))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64)))))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 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)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l (*.f64 l l))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (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 (+.f64 (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 #s(literal 1/2 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)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
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1/2
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1/2
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1
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1
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1
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1/2
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) l)
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(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) l)
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(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) l))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (neg.f64 l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) l))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) l))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(.f64 Om (+.f64 (.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) l))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (.f64 l (.f64 l l)))) (.f64 (.f64 Om Om) (+.f64 (.f64 (.f64 #s(literal -5/4096 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 7 binary64))))) (.f64 #s(literal 3/512 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))) (pow.f64 l #s(literal 5 binary64))))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
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(+ 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)))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
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(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))
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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
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
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(+ 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))))))
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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))))))))
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(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
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(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) Om))) (neg.f64 l))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
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(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 Om Om) (.f64 l (.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) Om)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 (.f64 Om Om) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) l)) (.f64 (.f64 Om Om) (+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) #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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 5 binary64)))))))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (-.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 Om Om)))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 l l) (-.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))) (.f64 Om Om))))) (-.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (.f64 l l)) (.f64 Om Om)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 Om Om))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 ky (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 ky ky)) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 Om (+.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 Om (.f64 ky (.f64 ky ky))) (.f64 (.f64 l (.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 ky ky) (.f64 (.f64 l l) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (sqrt.f64 (/.f64 (.f64 l ky) (.f64 Om (*.f64 Om Om)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3)))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (sqrt.f64 (/.f64 (.f64 l ky) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (*.f64 ky ky))) (pow.f64 Om #s(literal 5 binary64)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))))
(.f64 Om (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (pow.f64 Om #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (sqrt.f64 (/.f64 (.f64 l ky) (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 ky #s(literal 5 binary64)) (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (/ Om (* ky l))) (* (sqrt -1) (sqrt -1/4))))
(.f64 (sqrt.f64 (/.f64 Om (.f64 l ky))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l ky) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l ky) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l ky) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l ky)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (*.f64 (pow.f64 ky #s(literal 5 binary64)) (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))))) (neg.f64 Om))
(* 1/2 (sqrt (/ Om (* ky l))))
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(sqrt 1/2)
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1/2
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(* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/6 (/ (pow l 2) (pow Om 2)))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/45 binary64) (.f64 ky ky)) (.f64 l l)) (.f64 Om Om)) (/.f64 (.f64 (.f64 l l) #s(literal 1/6 binary64)) (*.f64 Om Om))))))
(* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/6 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/45 (/ (pow l 2) (pow Om 2))) (* 1/630 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (.f64 l l) #s(literal 1/6 binary64)) (.f64 Om Om)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (.f64 l l) #s(literal -1/45 binary64)) (.f64 Om Om)) (.f64 (/.f64 (.f64 #s(literal 1/630 binary64) (.f64 ky ky)) Om) (/.f64 (*.f64 l l) Om))))))))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 Om Om))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* Om (- (* -1/128 (/ Om (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) Om) (.f64 (.f64 l l) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (* Om (- (* Om (- (* -1/1024 (/ Om (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 Om (+.f64 (/.f64 (.f64 #s(literal -1/1024 binary64) Om) (.f64 (.f64 l (.f64 l l)) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))
(.f64 Om (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4)))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))))) (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))))
(* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ 1 (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ 1 (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ 1 (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1/4))))))
(.f64 Om (+.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (*.f64 l (sin.f64 ky)))))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (sqrt -1)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky))))))
(* -1 (* Om (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (*.f64 Om Om))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1)))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om))))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64))))))) (neg.f64 Om))
(* -1 (* Om (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (sqrt -1))) (* 1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (sqrt -1))))))))
(-.f64 #s(literal 0 binary64) (.f64 Om (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 (.f64 l (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64))))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (*.f64 Om Om))))))))))
(* (sqrt (/ Om (* l (sin ky)))) (sqrt -1/4))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(/ (+ (* 1/4 (* (sqrt (/ (* (pow l 3) (sin ky)) Om)) (/ 1 (sqrt -1/4)))) (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 (.f64 l (.f64 l l)) (/.f64 (sin.f64 ky) Om))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (.f64 Om (/.f64 l (sin.f64 ky)))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4))))))) l)
(/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (.f64 Om (/.f64 l (sin.f64 ky))))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 Om (.f64 Om Om)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (*.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64))))))) l)
(/ (+ (* (sqrt (/ (* Om l) (sin ky))) (sqrt -1/4)) (* (pow l 2) (+ (* 1/4 (* (sqrt (/ (sin ky) (* Om l))) (/ 1 (sqrt -1/4)))) (* (pow l 2) (+ (* -1/32 (* (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3)))) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/128 (* (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))) (/ 1 (pow (sqrt -1/4) 5))))))))) l)
(/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (.f64 Om (/.f64 l (sin.f64 ky))))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (.f64 l Om))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (*.f64 l (pow.f64 Om #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
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(/ Om (* ky l))
(/.f64 Om (*.f64 l ky))
(/ (+ (* 1/6 (/ (* Om (pow ky 2)) l)) (/ Om l)) ky)
(/.f64 (+.f64 (/.f64 Om l) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 Om (*.f64 ky ky))) l)) ky)
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/.f64 (+.f64 (/.f64 Om l) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (.f64 (/.f64 Om l) #s(literal 7/360 binary64))) (.f64 (/.f64 Om l) #s(literal 1/6 binary64))))) ky)
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (/ Om l)) (+ (* 1/720 (/ Om l)) (* 1/6 (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l)))))))) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* -1/6 (/ Om l)))) (/ Om l)) ky)
(/.f64 (+.f64 (/.f64 Om l) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 (/.f64 Om l) #s(literal -1/5040 binary64)) (.f64 (/.f64 Om l) #s(literal 1/720 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 Om l) #s(literal -7/360 binary64)))))) (.f64 (/.f64 Om l) #s(literal 7/360 binary64)))) (.f64 (/.f64 Om l) #s(literal 1/6 binary64))))) ky)
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (* Om l))))) l)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) Om))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 l Om)))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om))))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 Om #s(literal 5 binary64)))))))))))) l)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 Om Om) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 Om Om) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 (.f64 l (*.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 #s(literal 1/128 binary64) (/.f64 (/.f64 (.f64 Om Om) l) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (*.f64 l (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) l)) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 l l)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 Om (+.f64 (.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 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))))
(* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ Om l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(* Om (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))
(.f64 Om (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l Om)))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l))))))))
(.f64 Om (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 Om #s(literal 5 binary64))))))))
(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(.f64 Om (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (.f64 Om (.f64 Om Om))))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))))))))
(* -1 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (*.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 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.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) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.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 (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(-.f64 #s(literal 0 binary64) (.f64 Om (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.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) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (/.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))))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(-.f64 #s(literal 0 binary64) (.f64 Om (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 Om #s(literal 5 binary64))))))) (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.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) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l Om)))))) (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.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)))))))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx)))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))) (* -1/16 (* (/ (* Om (pow ky 2)) (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 ky ky)) (.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (*.f64 l (sin.f64 kx))))))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))) (* (pow ky 2) (+ (* -1/16 (* (/ Om (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))) (* 1/2 (* (* (pow ky 2) (- (* 1/8 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 Om l) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx)))))) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 Om (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l) (.f64 (/.f64 (/.f64 (.f64 Om Om) (.f64 l l)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (*.f64 l (sin.f64 kx)))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/256 binary64)))))))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))) (* (pow ky 2) (+ (* -1/16 (* (/ Om (* l (pow (sin kx) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))) (- (* 1/8 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin kx)))))))))))) (* 1/2 (* (* (pow ky 2) (- (* -1/8 (/ (* Om (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) l)) (* -1/16 (/ (* Om (- (* 1/8 (/ (* Om (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin kx) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))) (* l (* (pow (sin kx) 3) (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin kx))))))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 Om l) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx))))))) (.f64 (.f64 ky ky) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx)))))) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 Om (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l) (.f64 (/.f64 (/.f64 (.f64 Om Om) (.f64 l l)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx)))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/256 binary64)))) (.f64 (.f64 ky ky) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 Om (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) l) (.f64 (.f64 Om (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 Om (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l) (.f64 (/.f64 (/.f64 (.f64 Om Om) (.f64 l l)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx)))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/256 binary64))) (.f64 (.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 kx))))))) #s(literal 1/16 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (*.f64 l (sin.f64 kx))))))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))) (* -1/16 (* (/ (* Om (pow kx 2)) (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky))))) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om (.f64 kx kx)) (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) Om) (*.f64 l (sin.f64 ky))))))))
(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))) (* 1/2 (* (* (pow kx 2) (- (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))))
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(+ (sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))) (* (pow kx 2) (+ (* -1/16 (* (/ Om (* l (pow (sin ky) 3))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))) (- (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/8 (/ (* Om (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))) l)) (* -1/16 (/ (* Om (- (* 1/8 (/ (* Om (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) l)) (* 1/256 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 6) (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))) (* l (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))))))))))
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1/2
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(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* ky l)
(*.f64 l ky)
(* (pow ky 2) (pow l 2))
(.f64 (.f64 l l) (*.f64 ky ky))
(* (pow ky 2) (+ (* -1/3 (* (pow ky 2) (pow l 2))) (pow l 2)))
(.f64 (.f64 ky ky) (+.f64 (.f64 l l) (.f64 (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 l l))))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (pow l 2)) (* 2/45 (* (pow ky 2) (pow l 2))))) (pow l 2)))
(.f64 (.f64 ky ky) (+.f64 (.f64 l l) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) (*.f64 l l))))))
(* (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)))
(.f64 (.f64 ky ky) (+.f64 (.f64 l l) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 (.f64 ky ky) #s(literal -1/315 binary64)) (.f64 l l)) (.f64 (*.f64 l l) #s(literal 2/45 binary64))))))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
-1
#s(literal -1 binary64)
(- (pow ky 2) 1)
(+.f64 (*.f64 ky ky) #s(literal -1 binary64))
(- (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) 1)
(+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.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)))) 1)
(+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(- (* -1/2 (cos (* 2 ky))) 1/2)
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal -1/2 binary64))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* ky l)
(*.f64 l ky)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(.f64 ky (+.f64 l (.f64 #s(literal -1/6 binary64) (.f64 l (.f64 ky ky)))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(.f64 ky (+.f64 l (.f64 (.f64 ky ky) (+.f64 (.f64 l #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 l (*.f64 ky ky)))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(.f64 ky (+.f64 l (.f64 (.f64 ky ky) (+.f64 (.f64 l #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 l (.f64 ky ky))) (.f64 l #s(literal 1/120 binary64))))))))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(* l (sin ky))
(*.f64 l (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

eval241.0ms (1.7%)

Memory: -9.0MiB live, 537.0MiB allocated
Compiler: Compiled 51 103 to 6 098 computations (88.1% saved)

prune191.0ms (1.4%)

Memory

29.0MiB live, 431.0MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 791	2	1 793
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	1 793	11	1 804

Accuracy

100.0%

Counts

1 804 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(+.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))
✓	48.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
✓	46.8%	(sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	92.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
✓	92.3%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
	71.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))) #s(literal 1/2 binary64)))
✓	44.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
✓	48.8%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))))
✓	43.9%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
✓	53.5%	(sqrt.f64 #s(literal 1/2 binary64))
✓	64.8%	#s(literal 1 binary64)

Compiler

Compiled 584 to 307 computations (47.4% saved)

regimes140.0ms (1%)

Memory

-12.2MiB live, 224.5MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))))
(+.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (.f64 Om Om)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 l l)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(sqrt.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:

17.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
16.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
7.0ms	Om
7.0ms	(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))))))))))
6.0ms	(/.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
98.6%	1	`l`
98.6%	1	`Om`
98.6%	1	`kx`
98.6%	1	`ky`
98.6%	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))))))))))`
98.6%	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)))))))))`
98.6%	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))))))))`
98.6%	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)))))))`
98.6%	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))))))`
98.6%	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)))))`
98.6%	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))))`
98.6%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.6%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.6%	1	`(*.f64 #s(literal 2 binary64) l)`
98.6%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
98.6%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
98.6%	1	`(sin.f64 kx)`
98.6%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.6%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes74.0ms (0.5%)

Memory

-48.1MiB live, 141.7MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))))
(+.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (.f64 Om Om)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 l Om)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 l Om))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om))))))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 Om (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (.f64 l l)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))))))

Outputs

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

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

Calls

9 calls:

21.0ms	kx
8.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
6.0ms	(*.f64 #s(literal 2 binary64) l)
6.0ms	Om
6.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
94.8%	2	`l`
96.1%	3	`Om`
92.7%	1	`kx`
98.2%	2	`ky`
98.3%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
94.8%	2	`(*.f64 #s(literal 2 binary64) l)`
92.7%	1	`(sin.f64 kx)`
98.2%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.2%	3	`(sin.f64 ky)`

Compiler

Compiled 56 to 46 computations (17.9% saved)

regimes17.0ms (0.1%)

Memory

-1.6MiB live, 37.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
5.0ms	ky
5.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)

Results

Accuracy	Segments	Branch
97.8%	2	`ky`
97.8%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
97.9%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes25.0ms (0.2%)

Memory

18.5MiB live, 57.6MiB 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))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)))))
(+.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (.f64 Om Om)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 Om Om)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 l l))) (*.f64 Om Om)))

Outputs

#s(literal 1 binary64)

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

Calls

6 calls:

5.0ms	Om
4.0ms	ky
4.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
4.0ms	(sin.f64 ky)
4.0ms	kx

Results

Accuracy	Segments	Branch
71.7%	1	`kx`
82.0%	2	`Om`
84.1%	2	`l`
74.1%	2	`(sin.f64 ky)`
78.4%	3	`ky`
74.8%	3	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	l
3.0ms	Om

Results

Accuracy	Segments	Branch
77.7%	2	`Om`
78.5%	2	`l`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-23.9MiB live, 16.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`kx`
64.8%	1	`ky`
64.8%	1	`Om`
64.8%	1	`l`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.712736546374607e+122	6.597095731961628e+126

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.712736546374607e+122	6.597095731961628e+126

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch26.0ms (0.2%)

Memory

15.6MiB live, 54.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.35407923019797e-77	7.552835849933609e-76

Samples

19.0ms

112×

valid

Compiler

Compiled 260 to 204 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 5.0ms (33.9% of total)

ival-pow2: 3.0ms (20.4% of total)

ival-div: 2.0ms (13.6% of total)

ival-mult: 2.0ms (13.6% of total)

ival-add: 1.0ms (6.8% of total)

ival-sqrt: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

-24.9MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.3645251687042267e+25	5.409446682211608e+26

Samples

6.0ms

32×

valid

Compiler

Compiled 62 to 55 computations (11.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow2: 2.0ms (39.3% of total)

ival-div: 1.0ms (19.7% of total)

ival-mult: 1.0ms (19.7% of total)

ival-sin: 1.0ms (19.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	158
1	108	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(if (<=.f64 l #s(literal 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))) #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 100000000000000004764729344 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Outputs
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 Om l)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(if (<=.f64 l #s(literal 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))) #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 l l) Om) (/.f64 (.f64 ky ky) Om)))))))))
(if (<=.f64 l #s(literal 100000000000000004764729344 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness820.0ms (5.9%)

Memory

-0.0MiB live, 947.1MiB allocated

Rules

9 134×	`accelerator-lowering-fma.f32`
9 134×	`accelerator-lowering-fma.f64`
8 788×	`-lowering-.f32`
8 788×	`-lowering-.f64`
7 902×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	401
1	313	316
2	3098	306
0	8572	259
0	782	13608
1	2644	13264
2	7601	13258
0	8028	12617
0	23	124
1	119	119
2	929	119
0	8646	115
0	1658	27756
1	5557	27122
0	8283	25262
0	1481	18309
1	4605	18147
0	8553	17031

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

Compiler

Compiled 359 to 239 computations (33.4% saved)

preprocess107.0ms (0.8%)

Memory

-13.6MiB live, 264.5MiB allocated

Remove

(sort kx ky)

(abs ky)

(abs kx)

(abs Om)

(abs l)

Compiler

Compiled 1 050 to 640 computations (39% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1%)

sample2.1s (15.4%)

preprocess330.0ms (2.4%)

explain508.0ms (3.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify206.0ms (1.5%)

localize97.0ms (0.7%)

series93.0ms (0.7%)

rewrite480.0ms (3.4%)

simplify526.0ms (3.8%)

eval110.0ms (0.8%)

prune87.0ms (0.6%)

simplify646.0ms (4.6%)

localize533.0ms (3.8%)

series234.0ms (1.7%)

rewrite468.0ms (3.4%)

simplify599.0ms (4.3%)

eval276.0ms (2%)

prune169.0ms (1.2%)

simplify417.0ms (3%)

localize278.0ms (2%)

series163.0ms (1.2%)

rewrite434.0ms (3.1%)

simplify625.0ms (4.5%)

eval208.0ms (1.5%)

prune165.0ms (1.2%)

simplify538.0ms (3.9%)

localize259.0ms (1.9%)

series101.0ms (0.7%)

rewrite522.0ms (3.7%)

simplify928.0ms (6.6%)

eval241.0ms (1.7%)

prune191.0ms (1.4%)

regimes140.0ms (1%)

regimes74.0ms (0.5%)

regimes17.0ms (0.1%)

regimes25.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.2%)

bsearch8.0ms (0.1%)

simplify9.0ms (0.1%)

soundness820.0ms (5.9%)

preprocess107.0ms (0.8%)

end0.0ms (0%)

Profiling