Metrics for Toniolo and Linder, Equation (3a)

analyze133.0ms (0.9%)

Memory

36.3MiB live, 271.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.2s (15%)

Memory

6.3MiB live, 3 853.1MiB allocated

Samples

1.8s

8 256×

valid

Precisions

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

ival-sin: 441.0ms (29.7% of total)

ival-pow2: 346.0ms (23.3% of total)

ival-div: 269.0ms (18.1% of total)

ival-mult: 152.0ms (10.2% of total)

ival-add: 133.0ms (9% of total)

ival-sqrt: 127.0ms (8.6% of total)

exact: 8.0ms (0.5% of total)

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

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

Bogosity

preprocess294.0ms (2%)

Memory

31.3MiB live, 467.3MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs l)

(abs Om)

(abs kx)

(abs ky)

(sort kx ky)

explain408.0ms (2.7%)

Memory

5.6MiB live, 721.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
38	-	-	`(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))))))`
13	-	-	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
1	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
0	-	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	-	`Om`
0	-	-	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	-	-	`(*.f64 #s(literal 2 binary64) l)`
0	-	-	`(sin.f64 ky)`
0	-	-	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
0	-	-	`kx`
0	-	-	`ky`
0	-	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
0	-	-	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
0	-	-	`(sin.f64 kx)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
0	-	-	`l`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`	oflow-rescue	38	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	35
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	40
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	73
↳	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	73
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	81
`*.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**	4	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	40
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	81
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	99
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	13
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	13

Confusion

	Predicted +	Predicted -
+	5	3
-	38	210

Precision

0.11627906976744186

Recall

0.625

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	3
-	38	0	210

Precision?

0.11627906976744186

Recall?

0.625

Freqs

test

number	freq
0	213
1	43

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

129.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-sin: 43.0ms (42.4% of total)

ival-pow2: 20.0ms (19.7% of total)

ival-div: 12.0ms (11.8% of total)

ival-add: 9.0ms (8.9% of total)

ival-mult: 8.0ms (7.9% of total)

ival-sqrt: 8.0ms (7.9% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Status

Accuracy

Program

▶

96.9%

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify234.0ms (1.6%)

Memory

-4.9MiB live, 306.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize127.0ms (0.9%)

Memory

-10.3MiB live, 170.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
✓	accuracy	99.4%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.2%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	86.1%	(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

84.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 33.0ms (49.3% of total)

ival-sin: 11.0ms (16.4% of total)

ival-div: 8.0ms (11.9% of total)

ival-pow2: 7.0ms (10.4% of total)

ival-mult: 4.0ms (6% of total)

ival-sqrt: 3.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.5%)

Memory

17.2MiB live, 168.8MiB allocated

Counts

8 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
12.0ms	ky	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
8.0ms	kx	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
5.0ms	kx	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
4.0ms	l	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
3.0ms	ky	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))

rewrite490.0ms (3.3%)

Memory

-6.9MiB live, 948.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 639

Calls

Call 1

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

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

simplify612.0ms (4.1%)

Memory

-3.4MiB live, 831.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
(* 4 (/ (pow l 2) (pow Om 2)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4)))) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))) (* 64 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))) (* 4 (/ (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 2) (pow Om 4))))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 (.f64 l l) #s(literal -1/4 binary64)) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (/.f64 Om l) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))) (* 1/256 (/ (pow Om 6) (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3)))) (* Om (pow l 5))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) l))
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ (pow (sin kx) 2) (pow (sin ky) 2)) 5)))))))))))
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1
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(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))))
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(fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (.f64 l l) (.f64 Om Om)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -2 binary64)) (.f64 (.f64 (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))))) (* (pow ky 2) (+ (* -2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (* -1/2 (* (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin kx) 2)) (pow Om 2))))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 ky ky) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (.f64 (.f64 ky ky) (fma.f64 (.f64 l l) (.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 Om Om) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (/.f64 (.f64 l l) (.f64 (.f64 Om Om) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))) (fma.f64 #s(literal 16/3 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 8/45 binary64) (.f64 l l)) (.f64 (.f64 Om Om) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 l l) (.f64 Om Om)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow Om 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 Om Om)) #s(literal 1 binary64))))

eval177.0ms (1.2%)

Memory: 27.3MiB live, 292.0MiB allocated
Compiler: Compiled 46 174 to 5 337 computations (88.4% saved)

prune130.0ms (0.9%)

Memory

-13.6MiB live, 219.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	910	5	915
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	911	5	916

Accuracy

99.9%

Counts

916 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.8%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	49.0%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64)))))))
▶	92.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
▶	62.8%	(sqrt.f64 #s(literal 1 binary64))
▶	55.9%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 208 to 152 computations (26.9% saved)

simplify524.0ms (3.5%)

Memory

27.3MiB live, 819.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (/.f64 l Om) #s(literal 2 binary64))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (/.f64 l Om) #s(literal 2 binary64))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	640	(sqrt.f64 #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓	cost-diff	512	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

17 252×	`accelerator-lowering-fma.f32`
17 252×	`accelerator-lowering-fma.f64`
5 026×	`-lowering-.f32`
5 026×	`-lowering-.f64`
2 874×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	567
1	123	543
2	364	519
3	1484	519
4	4586	519
5	7054	519
6	7284	519
0	8094	451

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize512.0ms (3.4%)

Memory

-166.7MiB live, 633.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (/.f64 l Om) #s(literal 2 binary64))))
✓	accuracy	97.8%	(.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (/.f64 l Om) #s(literal 2 binary64)))
✓	accuracy	86.3%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 l Om) #s(literal 2 binary64)))))))
✓	accuracy	99.4%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.4%	(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	86.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	83.9%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	95.9%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓	accuracy	86.1%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))
✓	accuracy	82.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	64.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

242.0ms	85×	2	valid
103.0ms	80×	1	valid
43.0ms	27×	3	valid
31.0ms	64×	0	valid

Compiler

Compiled 533 to 54 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult: 59.0ms (27% of total)

ival-cos: 44.0ms (20.1% of total)

ival-div: 24.0ms (11% of total)

ival-sqrt: 23.0ms (10.5% of total)

ival-add: 23.0ms (10.5% of total)

ival-sin: 16.0ms (7.3% of total)

adjust: 15.0ms (6.9% of total)

ival-hypot: 8.0ms (3.7% of total)

ival-pow2: 4.0ms (1.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series177.0ms (1.2%)

Memory

23.8MiB live, 299.1MiB allocated

Counts

23 → 696

Calls

Call 1

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

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

Calls

174 calls:

Time	Variable		Point	Expression
18.0ms	ky	@	0	(/ 1 (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ l Om) 2)))
12.0ms	kx	@	inf	(+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)
6.0ms	l	@	inf	(sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1))
6.0ms	l	@	-inf	(sqrt (* (/ 1 2) (+ 1 (/ 1 (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ l Om) 2))))))
5.0ms	l	@	0	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1)))) 1/2))

rewrite404.0ms (2.7%)

Memory

18.7MiB live, 759.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 944×	`/-lowering-/.f32`
3 944×	`/-lowering-/.f64`
3 372×	`-lowering-.f32`
3 372×	`-lowering-.f64`
3 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	363
1	313	299
2	3220	278
0	8626	245

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 829

Calls

Call 1

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

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

simplify795.0ms (5.3%)

Memory

-7.8MiB live, 797.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 396×	`accelerator-lowering-fma.f32`
8 396×	`accelerator-lowering-fma.f64`
7 246×	`-lowering-.f32`
7 246×	`-lowering-.f64`
5 794×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1588	20193
1	5298	19794
0	8605	18416

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

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

eval365.0ms (2.5%)

Memory: 20.5MiB live, 360.7MiB allocated
Compiler: Compiled 60 059 to 7 193 computations (88% saved)

prune273.0ms (1.8%)

Memory

-28.2MiB live, 304.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 515	11	1 526
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 519	12	1 531

Accuracy

100.0%

Counts

1 531 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
▶	100.0%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 l (/.f64 Om (sin.f64 ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	70.2%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	64.6%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	47.6%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	46.5%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	80.7%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))))
	92.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
	45.9%	(sqrt.f64 (*.f64 Om (fma.f64 #s(literal 1/4 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))))) l) (/.f64 #s(literal 1/2 binary64) Om))))
	92.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
✓	55.9%	(sqrt.f64 #s(literal 1/2 binary64))
▶	62.8%	#s(literal 1 binary64)

Compiler

Compiled 526 to 376 computations (28.5% saved)

simplify223.0ms (1.5%)

Memory

11.6MiB live, 205.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3 688×	`-lowering-.f32`
3 688×	`-lowering-.f64`
1 680×	`accelerator-lowering-fma.f32`
1 680×	`accelerator-lowering-fma.f64`
1 616×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	460
1	114	460
2	323	460
3	1056	460
4	2597	460
5	3327	460
6	3619	460
7	3815	460
8	4089	460
9	4359	460
10	5062	460
11	5373	460
12	5659	460
13	5740	460
14	5817	460
15	5895	460
16	5935	460
17	5939	460
18	5939	460
19	5939	460
20	5994	460
21	5994	450
22	6135	450
0	6135	420

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize369.0ms (2.5%)

Memory

18.2MiB live, 533.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	87.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	accuracy	84.1%	(*.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
✓	accuracy	72.1%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.8%	(*.f64 l (sin.f64 ky))
✓	accuracy	99.0%	(/.f64 Om (*.f64 l (sin.f64 ky)))
✓	accuracy	90.4%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	88.9%	(/.f64 (.f64 ky ky) (.f64 Om Om))
✓	accuracy	87.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	84.9%	(fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 l (/.f64 Om (sin.f64 ky))) #s(literal 1 binary64)))
✓	accuracy	97.6%	(/.f64 l (/.f64 Om (sin.f64 ky)))
✓	accuracy	97.6%	(/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky)))
✓	accuracy	86.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 l (/.f64 Om (sin.f64 ky))) #s(literal 1 binary64))))

Samples

141.0ms	93×	1	valid
71.0ms	62×	2	valid
20.0ms	49×	0	invalid
19.0ms	47×	0	valid
8.0ms	5×	3	valid

Compiler

Compiled 432 to 54 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-sqrt: 62.0ms (29.4% of total)

ival-div: 42.0ms (19.9% of total)

ival-mult: 35.0ms (16.6% of total)

ival-cos: 31.0ms (14.7% of total)

ival-add: 18.0ms (8.5% of total)

ival-sin: 14.0ms (6.6% of total)

adjust: 9.0ms (4.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series124.0ms (0.8%)

Memory

-21.9MiB live, 251.5MiB allocated

Counts

23 → 756

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* ky l) Om))>
#<alt (* ky (+ (* -2/3 (/ (* (pow ky 2) l) Om)) (* 4 (/ l Om))))>
#<alt (* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* 1/30 (/ (* (pow ky 2) l) Om))))))>
#<alt (* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) l) Om)) (* 1/30 (/ l Om))))))))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* ky l) Om)>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) l) Om)) (/ l Om)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ l Om)) (* 1/120 (/ (* (pow ky 2) l) Om)))) (/ l Om)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ l Om)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) l) Om)) (* 1/120 (/ l Om)))))) (/ l Om)))>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt (/ (* l (sin ky)) Om)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow (sin ky) 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin ky) 4) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow (sin ky) 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow (sin ky) 2) (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (sin ky) 6) (pow Om 6))))) (* -1/2 (/ (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin ky) 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (sin ky) 4) (pow Om 4))) (* 4 (/ (pow (sin ky) 4) (pow Om 4))))) (* 1/4 (/ (pow (sin ky) 4) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6))))) (* -1/2 (* (pow l 2) (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6))))) (* -1/2 (* (pow l 2) (* (pow (sin ky) 2) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))) (* 1/4 (* (pow l 4) (pow (sin ky) 4)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6))))) (* -1/2 (/ (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))>
#<alt (+ (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)))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))>
#<alt (+ (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)))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* ky (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) ky)) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))>
#<alt (+ (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))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))>
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#<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))))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (- (* 16 (/ (* (pow l 2) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow l 2) (pow (sin ky) 6)) (pow Om 6))) (* -16 (/ (pow (sin ky) 4) (pow Om 4))))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))>
#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))>
#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))>
#<alt (* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))>
#<alt (* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow l 4) (pow (sin ky) 4)))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow l 6) (pow (sin ky) 6)))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow l 8) (pow (sin ky) 8)))) (* 1/64 (/ 1 (* (pow l 6) (pow (sin ky) 6)))))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))>
#<alt (- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (pow 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))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<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))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* (pow kx 2) l) Om)>
#<alt (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om)))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om)))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)>

Calls

189 calls:

Time	Variable		Point	Expression
37.0ms	l	@	0	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (/ (* l 4) Om) (* (/ l Om) (+ (* -1/2 (cos (+ kx kx))) 1/2))) 1)))) 1/2))
3.0ms	l	@	-inf	(/ (* l 4) (/ Om (sin ky)))
2.0ms	Om	@	0	(sqrt (/ 1 (+ (* (/ (* l 4) Om) (* (/ l Om) (+ (* -1/2 (cos (+ kx kx))) 1/2))) 1)))
2.0ms	Om	@	inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (/ (* l 4) Om) (* (/ l Om) (+ (* -1/2 (cos (+ kx kx))) 1/2))) 1)))) 1/2))
2.0ms	ky	@	-inf	(sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (* ky ky) (* Om Om))) 1)))

rewrite444.0ms (3%)

Memory

-10.9MiB live, 965.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 336×	`-lowering-.f32`
5 336×	`-lowering-.f64`
3 694×	`accelerator-lowering-fma.f32`
3 694×	`accelerator-lowering-fma.f64`
3 558×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	348
1	293	311
2	2477	301
0	8526	280

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 666

Calls

Call 1

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

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

simplify515.0ms (3.5%)

Memory

45.6MiB live, 1 069.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 366×	`-lowering-.f32`
7 366×	`-lowering-.f64`
6 384×	`accelerator-lowering-fma.f32`
6 384×	`accelerator-lowering-fma.f64`
4 420×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1694	17538
1	5507	17040
0	8262	16059

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

Inputs
1
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* ky l) Om))
(* ky (+ (* -2/3 (/ (* (pow ky 2) l) Om)) (* 4 (/ l Om))))
(* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* 1/30 (/ (* (pow ky 2) l) Om))))))
(* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) l) Om)) (* 1/30 (/ l Om))))))))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* 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) Om)
(* ky (+ (* -1/6 (/ (* (pow ky 2) l) Om)) (/ l Om)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ l Om)) (* 1/120 (/ (* (pow ky 2) l) Om)))) (/ l Om)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ l Om)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) l) Om)) (* 1/120 (/ l Om)))))) (/ l 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)
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)))
(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 (* -1/2 (/ (* (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)))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6))))) (* -1/2 (/ (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* ky (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) ky)) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (pow ky 2) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
(* 1/2 (/ Om (* ky l)))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))) l)
(/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky)))) l)
(/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))))) l)
(* -1/2 (/ Om (* ky l)))
(* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))) l))
(* -1 (/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky)))) l))
(* -1 (/ (+ (* -1 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/2 (/ Om ky))))) l))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(* 1/2 (/ Om (* ky l)))
(/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))) ky)
(/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l)))) ky)
(/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))))) ky)
(* -1/2 (/ Om (* ky l)))
(* -1 (/ (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))) ky))
(* -1 (/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l)))) ky))
(* -1 (/ (+ (* -1 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/16 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/2 (/ Om l))))) ky))
(* 1/2 (/ Om (* ky l)))
(* Om (+ (* -1/16 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/2 (/ 1 (* ky l)))))
(* Om (+ (* (pow Om 2) (- (* 3/256 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/16 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/2 (/ 1 (* ky l)))))
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow ky 7) (pow l 7)))) (* 3/256 (/ 1 (* (pow ky 5) (pow l 5)))))) (* 1/16 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/2 (/ 1 (* ky l)))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (- (* 16 (/ (* (pow ky 4) (pow l 2)) (pow Om 4))) (* 4 (/ (pow ky 2) (pow Om 2))))))
(+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow ky 6) (pow l 2)) (pow Om 6))) (* -16 (/ (pow ky 4) (pow Om 4))))) (* 4 (/ (pow ky 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 8) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 8) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow ky 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 6) (pow l 4)))) (* 1/16 (/ (pow Om 4) (* (pow ky 4) (pow l 2)))))) (pow l 2))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (- (* 16 (/ (* (pow ky 2) (pow l 4)) (pow Om 4))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -64 (/ (* (pow ky 2) (pow l 6)) (pow Om 6))) (* -16 (/ (pow l 4) (pow Om 4))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (pow ky 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4))))) (pow ky 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 6) (pow l 8)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))))) (pow ky 2))
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(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4))))) (pow ky 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 6) (pow l 8)))) (* 1/4 (/ (pow Om 2) (pow l 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 4) (pow l 6)))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (pow l 4)))))) (pow ky 2))
(* 1/4 (/ (pow Om 2) (* (pow ky 2) (pow l 2))))
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1
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1
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(sqrt 1/2)
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(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin ky) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))))))))) l)
(sqrt 1/2)
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(sqrt 1/2)
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
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(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
1/2
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(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
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1/2
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1/2
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(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
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(/ Om (* l (sin ky)))
(/ Om (* l (sin ky)))
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(/ Om (* l (sin ky)))
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(/ (+ (* 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)))
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(* l (sin ky))
(* l (sin ky))
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(* l (sin ky))
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(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
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1
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(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
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(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
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(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (pow Om 2)) (pow Om 2))
1
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1
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1
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(+ 1 (* (pow kx 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))))))
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1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (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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1
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1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
1
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(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2)))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
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(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow kx 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow kx 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/4 (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (+ 1/2 (* -1/2 (cos (* 2 kx)))) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2) (pow Om 4))))))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l)
(* -1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) l))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))
(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow kx 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow kx 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
(sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) (pow Om 2))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (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))
(* 1/2 (/ Om (* l (sin ky))))
(* Om (+ (* -1/16 (/ (pow Om 2) (* (pow l 3) (pow (sin ky) 3)))) (* 1/2 (/ 1 (* l (sin ky))))))
(* Om (+ (* (pow Om 2) (- (* 3/256 (/ (pow Om 2) (* (pow l 5) (pow (sin ky) 5)))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/2048 (/ (pow Om 2) (* (pow l 7) (pow (sin ky) 7)))) (* 3/256 (/ 1 (* (pow l 5) (pow (sin ky) 5)))))) (* 1/16 (/ 1 (* (pow l 3) (pow (sin ky) 3)))))) (* 1/2 (/ 1 (* l (sin ky))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4)))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* (pow l 2) (* (pow (sin ky) 2) (+ (* -16 (* (pow l 4) (pow (sin ky) 4))) (* 4 (* (pow l 4) (pow (sin ky) 4))))))) (* 64 (* (pow l 6) (pow (sin ky) 6)))) (pow Om 6))))))
1
(+ 1 (* -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
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (- (* 16 (/ (* (pow l 2) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))
(+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow l 2) (pow (sin ky) 6)) (pow Om 6))) (* -16 (/ (pow (sin ky) 4) (pow Om 4))))) (* 4 (/ (pow (sin ky) 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow l 6) (pow (sin ky) 8)))) (* 1/4 (/ (pow Om 2) (pow (sin ky) 2)))) (+ (* -1/64 (/ (pow Om 6) (* (pow l 4) (pow (sin ky) 6)))) (* 1/16 (/ (pow Om 4) (* (pow l 2) (pow (sin ky) 4)))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* (pow l 2) (pow (sin ky) 2))))
(* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow l 4) (pow (sin ky) 4)))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow l 6) (pow (sin ky) 6)))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow l 8) (pow (sin ky) 8)))) (* 1/64 (/ 1 (* (pow l 6) (pow (sin ky) 6)))))) (* 1/16 (/ 1 (* (pow l 4) (pow (sin ky) 4)))))) (* 1/4 (/ 1 (* (pow l 2) (pow (sin ky) 2))))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
1
(+ 1 (* -4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4)))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow l 6) (pow (sin ky) 6)) (pow Om 6)))) (+ (* -16 (/ (* (pow l 4) (pow (sin ky) 4)) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
(/ 1 (+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* (pow kx 2) l) Om)
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* (pow l 2) (+ (* 4 (/ (pow (sin ky) 2) (pow Om 2))) (/ 1 (pow l 2))))
(fma.f64 (.f64 l l) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.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)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
(/ (+ (* 4 (* (pow l 2) (pow (sin ky) 2))) (pow Om 2)) (pow Om 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 Om Om)) (.f64 Om Om))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* 4 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(sqrt 1/2)
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1
#s(literal 1 binary64)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (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)))))))
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 ky (.f64 l l)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) ky))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* ky (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) ky)) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 #s(literal -1/128 binary64) (/.f64 Om (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 ky (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))))) (pow.f64 Om #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
(+.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 l #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))))))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
(+.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 l #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 l l) (.f64 ky ky)) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))))))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 l l)) (.f64 (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (.f64 ky ky) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (/.f64 (.f64 ky ky) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 (.f64 l (.f64 l l)) (.f64 ky (*.f64 ky ky)))))
(+ 1/2 (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 ky (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) #s(literal -3/256 binary64))) (.f64 Om (pow.f64 l #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky)))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 (.f64 l l) (.f64 ky (.f64 ky ky)))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om ky))) l))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 ky (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) #s(literal -3/256 binary64))) (.f64 Om (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 (.f64 l l) (.f64 ky (.f64 ky ky)))) (.f64 #s(literal 1/4 binary64) (/.f64 Om ky)))) l))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4)))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 ky ky)) (.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 l l) (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))))) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 (.f64 l (.f64 l l)) (.f64 ky (*.f64 ky ky)))))
(+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 l (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -3/256 binary64))) (.f64 Om (pow.f64 ky #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 ky ky)))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))
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(sqrt 1/2)
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(* 1/2 (sqrt (/ Om (* l (sin ky)))))
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(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
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(.f64 Om (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l (.f64 l l))) (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 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l (.f64 l l))) (pow.f64 Om #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 5 binary64)) (/.f64 (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 (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (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 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l (.f64 l l))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* l (sin ky))))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 l (.f64 l l))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (.f64 (pow.f64 l #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (sin.f64 ky)) (.f64 Om (.f64 Om Om)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 Om (.f64 l (sin.f64 ky))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))) (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 (fma.f64 (.f64 l l) (fma.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 (sin.f64 ky) (.f64 l Om))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (.f64 l Om) (sin.f64 ky))))) 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)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 (.f64 l l) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* (sin ky) (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (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)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) Om) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 Om Om) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/1024 binary64) (.f64 Om (.f64 Om Om))) (.f64 (.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) l)) l))
(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l ky))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/.f64 (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 ky Om))) (.f64 (sqrt.f64 (.f64 Om (/.f64 ky l))) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 Om (/.f64 ky l))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
(/.f64 (fma.f64 (.f64 ky ky) (fma.f64 ky (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 ky (.f64 Om (.f64 Om Om))))) (.f64 (sqrt.f64 (/.f64 Om (.f64 l ky))) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (.f64 ky Om))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 Om (/.f64 ky l))))) ky)
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(* 1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 l (sin.f64 ky)))
(* 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))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(* 1/4 (/ Om (* ky l)))
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(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/.f64 (fma.f64 ky #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* 1/24 (/ (* Om ky) l))))) ky)
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(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* -1/4 (* (pow ky 2) (+ (* -1/36 (/ Om l)) (* 1/120 (/ Om l))))) (* 1/24 (/ Om l))))))) ky)
(/.f64 (fma.f64 ky (fma.f64 ky (fma.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)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
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(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(/ 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)))
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(/ 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)))
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(/ 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)))
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(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
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(/ Om (* l (sin ky)))
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(/ Om (* l (sin ky)))
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(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* l (sin ky)))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(/ Om (* ky l))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (/.f64 (.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)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) l))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))) l)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 Om (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #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 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) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) l)) l))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(fma.f64 Om (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) Om) (.f64 (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 Om (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal -1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 l (.f64 l l)))) (.f64 #s(literal -1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 l (.f64 l l)))))))) (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)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2)))))))) (pow Om 6))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow kx 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow kx 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
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(* 1/2 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
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(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))
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(* Om (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow Om 2) (+ (* -1/16 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 7))))) (* 3/256 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 5)))))))))))
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1
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(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (* -2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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#s(literal 1 binary64)
(+ 1 (* -2 (/ (* (pow l 2) (pow (sin ky) 2)) (pow Om 2))))
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(/.f64 (.f64 ky ky) (.f64 Om Om))
(/ (pow ky 2) (pow Om 2))
(/.f64 (.f64 ky ky) (.f64 Om Om))
(/ (pow ky 2) (pow Om 2))
(/.f64 (.f64 ky ky) (.f64 Om Om))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* (pow kx 2) l) Om)
(/.f64 (.f64 l (.f64 kx kx)) Om)
(* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om)))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 l (.f64 kx kx)) Om) (/.f64 l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (/.f64 (.f64 l (.f64 kx kx)) Om) (.f64 (/.f64 l Om) #s(literal -1/3 binary64))) (/.f64 l Om)))
(* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* (pow kx 2) (+ (* -1/315 (/ (* (pow kx 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (/.f64 l Om) #s(literal -1/3 binary64) (.f64 (.f64 kx kx) (fma.f64 (/.f64 l Om) #s(literal 2/45 binary64) (/.f64 (.f64 #s(literal -1/315 binary64) (.f64 l (.f64 kx kx))) Om)))) (/.f64 l Om)))
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))) Om)

eval257.0ms (1.7%)

Memory: -5.7MiB live, 501.4MiB allocated
Compiler: Compiled 44 896 to 5 295 computations (88.2% saved)

prune168.0ms (1.1%)

Memory

-2.2MiB live, 339.6MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 443	5	1 448
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	1 447	13	1 460

Accuracy

100.0%

Counts

1 460 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64))
▶	87.4%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	70.2%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	47.6%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	51.4%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
	46.5%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
▶	64.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	80.7%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))))
	92.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
▶	47.5%	(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
▶	92.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))))))
✓	55.9%	(sqrt.f64 #s(literal 1/2 binary64))
✓	62.8%	#s(literal 1 binary64)

Compiler

Compiled 482 to 348 computations (27.8% saved)

simplify442.0ms (3%)

Memory

-2.8MiB live, 674.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	384	(/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky)))
✓	cost-diff	384	(fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) Om)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))))
✓	cost-diff	0	(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
✓	cost-diff	832	(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 l ky)
✓	cost-diff	0	(/.f64 Om (*.f64 l ky))
✓	cost-diff	0	(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	320	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))

Rules

15 724×	`accelerator-lowering-fma.f32`
15 724×	`accelerator-lowering-fma.f64`
5 734×	`-lowering-.f32`
5 734×	`-lowering-.f64`
2 450×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	629
1	147	609
2	433	593
3	1733	589
4	4259	589
5	6461	589
6	7526	589
0	8335	557

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize347.0ms (2.3%)

Memory

-4.9MiB live, 627.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))
✓	accuracy	98.0%	(/.f64 (*.f64 l ky) Om)
✓	accuracy	97.6%	(/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky)))
✓	accuracy	91.3%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64))))
✓	accuracy	99.8%	(*.f64 l (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky)))
✓	accuracy	99.1%	(.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky)))))
✓	accuracy	90.4%	(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))))
✓	accuracy	91.2%	(sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))
✓	accuracy	90.0%	(/.f64 (.f64 ky ky) (.f64 Om Om))
✓	accuracy	86.6%	(fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 l ky)
✓	accuracy	98.0%	(/.f64 Om (*.f64 l ky))
✓	accuracy	93.3%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
✓	accuracy	96.1%	(.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓	accuracy	91.2%	(sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64)))
✓	accuracy	83.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	79.6%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

84.0ms	51×	2	valid
49.0ms	54×	1	valid
48.0ms	97×	0	invalid
36.0ms	22×	3	valid
19.0ms	32×	0	valid

Compiler

Compiled 611 to 63 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 39.0ms (20.7% of total)

ival-cos: 37.0ms (19.6% of total)

ival-add: 37.0ms (19.6% of total)

ival-div: 27.0ms (14.3% of total)

ival-sqrt: 25.0ms (13.3% of total)

adjust: 12.0ms (6.4% of total)

ival-sin: 10.0ms (5.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series157.0ms (1.1%)

Memory

13.2MiB live, 167.2MiB allocated

Counts

30 → 996

Calls

Call 1

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

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 (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))>
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#<alt 1/2>
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#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))>
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#<alt (/ Om (* ky l))>
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#<alt (/ Om (* ky l))>
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#<alt (* ky l)>
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#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6))))) (* -1/2 (/ (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
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#<alt 1>
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#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))>
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#<alt (sqrt 1/2)>
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#<alt 1>
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#<alt (+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))>
#<alt 1>
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#<alt 1>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)))>
#<alt 1>
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#<alt (+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt 1/2>
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#<alt 1/2>
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#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))>
#<alt 1/2>
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#<alt (+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l))))))>
#<alt (+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l))))))>
#<alt 1>
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#<alt (+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1/2 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))>
#<alt (+ 1/2 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))>
#<alt (* 1/4 (/ Om (* ky l)))>
#<alt (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)>
#<alt (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)>
#<alt (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/2 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))))) l)>
#<alt (* -1/4 (/ Om (* ky l)))>
#<alt (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/2 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))))) l))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 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 (/ (pow l 4) (pow Om 4)))))))))>
#<alt (+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (* 1/4 (/ Om (* ky l)))>
#<alt (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)>
#<alt (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/2 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))))) ky)>
#<alt (* -1/4 (/ Om (* ky l)))>
#<alt (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/2 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))))) ky))>
#<alt (* 1/4 (/ Om (* ky l)))>
#<alt (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l)))))>
#<alt (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l)))))>
#<alt (* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/4096 (/ (pow Om 2) (* (pow ky 7) (pow l 7)))) (* 3/512 (/ 1 (* (pow ky 5) (pow l 5)))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))>
#<alt (+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
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#<alt (+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))>
#<alt 1>
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#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow ky 4) (pow l 2)) (pow Om 4))) (* 2 (/ (pow ky 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow l 2) (+ (* 2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (* (pow ky 6) (pow l 2)) (pow Om 6))))))))>
#<alt (* 2 (/ (* ky l) Om))>
#<alt (* l (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om))))>
#<alt (* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om)))))>
#<alt (* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 5) (pow l 6)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om))))))>
#<alt (* -2 (/ (* ky l) Om))>
#<alt (* -1 (* l (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om)))))>
#<alt (* -1 (* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om))))))>
#<alt (* -1 (* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 5) (pow l 6)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om)))))))>
#<alt 1>
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#<alt (+ 1 (* (pow ky 2) (+ (* -2 (/ (* (pow ky 2) (pow l 4)) (pow Om 4))) (* 2 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -2 (/ (pow l 4) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow l 6)) (pow Om 6))))))))>
#<alt (* 2 (/ (* ky l) Om))>
#<alt (* ky (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om))))>
#<alt (* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om)))))>
#<alt (* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om))))))>
#<alt (* -2 (/ (* ky l) Om))>
#<alt (* -1 (* ky (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om)))))>
#<alt (* -1 (* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om))))))>
#<alt (* -1 (* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om)))))))>
#<alt (* 2 (/ (* ky l) Om))>
#<alt (/ (+ (* 1/4 (/ (pow Om 2) (* ky l))) (* 2 (* ky l))) Om)>
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#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (+ (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow ky 6) (pow l 6)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (+ (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow ky 6) (pow l 6)) (pow Om 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 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 (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* 1/4 (/ Om (* l (sin ky))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* 1/4 (/ Om (* l (sin ky))))>
#<alt (/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)>
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#<alt (/ (+ (* 1/4 (/ Om (sin ky))) (* 1/2 l)) l)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))>
#<alt (* 1/4 (/ Om (* ky l)))>
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#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))>
#<alt (* 1/2 (sqrt (/ Om (* l (sin ky)))))>
#<alt (* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))>
#<alt (* 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)))))))>
#<alt (* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))))>
#<alt (* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2))))))))>
#<alt (* 1/2 (sqrt (/ Om (* l (sin ky)))))>
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#<alt (sqrt 1/2)>
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#<alt (+ (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))))))))>
#<alt (sqrt 1/2)>
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#<alt (/ 1/2 Om)>
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#<alt (/ 1/2 Om)>
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#<alt (/ 1/2 Om)>
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#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt (/ 1/2 Om)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* ky (* (pow l 2) (sin ky)))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* ky (* (pow l 2) (sin ky)))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* ky (* (pow l 2) (sin ky)))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -2/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 1/30 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))>
#<alt (* ky (+ (* 4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky)))>
#<alt (* ky (+ (* 4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky)))>
#<alt (* ky (+ (* 4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky)))>
#<alt (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))>
#<alt (* -1 (* ky (- (* -4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky))))>
#<alt (* -1 (* ky (- (* -4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky))))>
#<alt (* -1 (* ky (- (* -4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky))))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* ky l) Om))>
#<alt (* ky (+ (* -2/3 (/ (* (pow ky 2) l) Om)) (* 4 (/ l Om))))>
#<alt (* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* 1/30 (/ (* (pow ky 2) l) Om))))))>
#<alt (* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) l) Om)) (* 1/30 (/ l Om))))))))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt (* 4 (/ (* l (sin ky)) Om))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (* ky (sin ky)) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 1/4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (* ky (sin ky)) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* ky (* (sin ky) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2))) (* 64 (/ (* (pow ky 3) (pow (sin ky) 3)) (pow Om 6))))) (* -1/2 (/ (* ky (* (sin ky) (- (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 1/4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 1/4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (* (pow ky 3) (pow (sin 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 (* ky (sin ky)))))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* l (* (sin ky) (pow (sqrt 1/2) 3)))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (* ky (sin ky))))))) l)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3))))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* ky (* (sin ky) (pow (sqrt 1/2) 3)))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (* ky (sin ky))))))) l)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))) (* 1/8 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 (* l (sqrt 1/2))))))))>
#<alt (+ (sqrt 1/2) (* Om (+ (* 1/8 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 (* l (sqrt 1/2))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* -1/512 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3)))))) (* -1/2 (* ky (* (pow l 2) (* (sin ky) (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3)))))) (* -1/2 (* ky (* (pow l 2) (* (sin ky) (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (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))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))) (* -1/64 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1/64 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (* 1/256 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (* (pow (sin ky) 5) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1/64 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (+ (* 1/256 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (* (pow (sin ky) 5) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (* 1/2 (* (/ (- (* -1/2 (* (/ (* l (+ (* 1/256 (/ (* (pow Om 6) ky) (* (pow l 6) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4)))))) Om) (sqrt (* ky (sin ky))))) (* 1/4096 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))))) (pow ky 4)) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))))>
#<alt (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))) (* -1/128 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1/128 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (* 1/512 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 5) (* (pow (sin ky) 5) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))))))))>
#<alt (+ (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/4 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (* ky (sin ky))))) (* -1/16384 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (* (pow (sqrt -1/4) 2) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))) ky) (sqrt (/ 1 (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))) (* -1/512 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (* (pow (sin ky) 5) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (pow ky 3))) (* -1/128 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (* ky (sin ky)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (* ky (sin ky)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* ky (* (sin ky) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2))) (* 64 (/ (* (pow ky 3) (pow (sin ky) 3)) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 5))) (sqrt (* ky (sin ky))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* Om (sqrt (/ 1 (* ky (sin ky))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* Om (sqrt (/ 1 (* ky (sin ky)))))))) l)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))))))>
#<alt (+ 1/2 (* Om (+ (* 1/4 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/128 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))>
#<alt (+ 1/2 (+ (* -1/2 (* (/ (* l (+ (* 1/256 (/ (* (pow Om 6) ky) (* (pow l 6) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4)))))) Om) (sqrt (/ (sin ky) (pow ky 7))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/128 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))>
#<alt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ 1/2 (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ 1/2 (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/256 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/256 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (pow (sin ky) 5))))) (* 1/4 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (/ (sin ky) ky))))) (pow ky 3))) (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -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))) (* 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)))))>
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#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)>
#<alt (+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))>
#<alt (+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))>
#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)>
#<alt (+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))>
#<alt (+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))>
#<alt (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))>
#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
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#<alt (/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))>
#<alt (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ (pow ky 2) (pow Om 2))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* ky l))>
#<alt (/ (+ (* 1/24 (/ (pow ky 2) l)) (* 1/4 (/ 1 l))) ky)>
#<alt (/ (+ (* (pow ky 2) (+ (* 7/1440 (/ (pow ky 2) l)) (* 1/24 (/ 1 l)))) (* 1/4 (/ 1 l))) ky)>
#<alt (/ (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* 31/60480 (/ (pow ky 2) l)) (* 7/1440 (/ 1 l)))) (* 1/24 (/ 1 l)))) (* 1/4 (/ 1 l))) ky)>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* l (sin ky)))>
#<alt (/ 1/4 (* 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 (* 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>
#<alt (+ 1 (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (* ky (sin ky)) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (* ky (sin ky)) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* ky (* (sin ky) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2))) (* 64 (/ (* (pow ky 3) (pow (sin ky) 3)) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))))))))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))>
#<alt (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))) l)>
#<alt (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky)))))))) l)>
#<alt (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (* (pow ky 4) (pow (sin ky) 4)))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))))) (* ky (sin ky))))) (* Om (pow l 6))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))))) l)>
#<alt (* -1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))>
#<alt (* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky)))))))) l))>
#<alt (* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (* (pow ky 4) (pow (sin ky) 4)))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))))) (* ky (sin ky))))) (* Om (pow l 6))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))))) l))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))>
#<alt (* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l)))))>
#<alt (* Om (+ (* 1/2 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5))))))))))>
#<alt (* Om (+ (* 1/2 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (* (pow ky 7) (pow (sin ky) 7)))))) (* 3/256 (* (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))) (/ 1 (pow l 5))))))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))>
#<alt (+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (+ 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))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))>
#<alt (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))>
#<alt (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/64 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))>
#<alt (+ (* -1 (* (/ (* l (+ (* 1/256 (/ (* (pow Om 6) ky) (* (pow l 6) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4)))))) Om) (sqrt (/ (sin ky) (pow ky 7))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/64 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))>
#<alt (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))>
#<alt (+ (* -1/32 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))>
#<alt (+ (* -1/32 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/128 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (+ (* -1 (/ (+ (* -1/128 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (pow (sin ky) 5))))) (* 1/2 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (/ (sin ky) ky))))) (pow ky 3))) (+ (* -1/32 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt (/ (* ky l) Om)>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (- (* 16 (/ (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (sin ky)) (pow Om 2))))))>
#<alt (+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow ky 3) (* (pow l 2) (pow (sin ky) 3))) (pow Om 6))) (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 4 (/ (* ky (sin ky)) (pow Om 2))))))>
#<alt (* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (pow l 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2)))))) (pow l 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 4) (* (pow l 6) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))))) (pow l 2))>
#<alt (* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (pow l 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2)))))) (pow l 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 4) (* (pow l 6) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))))) (pow l 2))>
#<alt (* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))>
#<alt (* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ 1 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))>
#<alt (* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow ky 4) (* (pow l 8) (pow (sin ky) 4))))) (* 1/64 (/ 1 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))))) (* 1/16 (/ 1 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (- (+ 1 (* 16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4)))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (- (+ 1 (* -64 (/ (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))) (pow Om 6)))) (+ (* -16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (- (+ 1 (* 16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4)))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))>
#<alt (- (+ 1 (* -64 (/ (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))) (pow Om 6)))) (+ (* -16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))>
#<alt (/ (+ (* -1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky)>
#<alt (/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 2) (* (pow l 6) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2)))))) ky)>
#<alt (/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 3) (* (pow l 8) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 2) (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2))))))) ky)>
#<alt (* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))>
#<alt (* -1 (/ (+ (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky)))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2)))))) ky))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow Om 6) (* ky (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow l 4) (pow (sin ky) 2))))) ky)) (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow Om 8) (* ky (* (pow l 8) (pow (sin ky) 4))))) (* 1/64 (/ (pow Om 6) (* (pow l 6) (pow (sin ky) 3))))) ky)) (* 1/16 (/ (pow Om 4) (* (pow l 4) (pow (sin ky) 2))))) ky)) (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky))>

Calls

249 calls:

Time	Variable		Point	Expression
53.0ms	l	@	inf	(/ 1/4 (* l (sin ky)))
13.0ms	ky	@	inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (/ (* l 4) (/ Om (sin ky))) (/ (* l ky) Om)) 1)))) 1/2))
3.0ms	ky	@	-inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* (/ (* l 4) (/ Om (sin ky))) (/ (* l ky) Om)) 1)))) 1/2))
3.0ms	Om	@	-inf	(/ Om (* l ky))
3.0ms	ky	@	-inf	(+ (* (/ (* l 4) (/ Om (sin ky))) (/ (* l ky) Om)) 1)

rewrite346.0ms (2.3%)

Memory

-6.8MiB live, 583.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 180×	`-lowering-.f32`
4 180×	`-lowering-.f64`
3 084×	`pow-lowering-pow.f64`
3 084×	`pow-lowering-pow.f32`
2 996×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	434
1	380	405
2	3920	385
0	8393	356

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 709

Calls

Call 1

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

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

simplify607.0ms (4.1%)

Memory

31.8MiB live, 1 107.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 550×	`-lowering-.f32`
6 550×	`-lowering-.f64`
6 004×	`+-lowering-+.f64`
6 004×	`+-lowering-+.f32`
5 288×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2202	24679
1	6080	24156
0	8948	22913

Stop Event

1×	iter limit
1×	node limit

Counts

996 → 996

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 (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 5))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (* Om (pow l 4))) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (+ (* -16 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))) (* 4 (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)))) (pow Om 6))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))
(+ (* -1 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow kx 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))
(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))) (* (pow kx 2) (+ (* -1/4 (* (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (* -1/4 (* (* (pow kx 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (+ (* 8/45 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))) (* 16/3 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))) 3)))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))
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(+ (* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* -1 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))) (* -1/4 (* (* (pow ky 2) (+ (* -16 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3)))) (+ (* -4/3 (/ (pow l 2) (* (pow Om 2) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 2)))) (* 4 (/ (pow l 4) (* (pow Om 4) (pow (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))) 3))))))) (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))))))
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(* 1/2 (+ 1 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))))))
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1
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(/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))) (pow Om 2)) (pow Om 2))
1
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1
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2)))))))
(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
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(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))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(sqrt 1/2)
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(* 1/2 (sqrt (/ Om (* ky l))))
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(* 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))))))
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(+ (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))))))
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(+ (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))))
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(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
(/ (+ (* 1/4 (/ Om l)) (* 1/2 ky)) ky)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
(* ky l)
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6))))) (* -1/2 (/ (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (* 1/4 (/ (pow ky 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* ky (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) ky)) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
(+ 1/2 (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
1/2
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* Om (+ (* -1/32 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l))))))
(+ 1/2 (* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)
(/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)
(/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/2 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))))) l)
(* -1/4 (/ Om (* ky l)))
(* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l))
(* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l))
(* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/2 (/ (* ky (+ (* 1/256 (/ (pow Om 8) (pow ky 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (pow ky 2))))) (* Om (pow l 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om 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 (/ (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) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky)
(/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky)
(/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/2 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))))) ky)
(* -1/4 (/ Om (* ky l)))
(* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))) ky))
(* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* l (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (* Om (pow ky 4)))) (+ (* -1/2 (/ (* l (+ (* 1/256 (/ (pow Om 8) (pow l 8))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow l 6))) (* 1/256 (/ (pow Om 6) (pow l 6))))) (pow l 2))))) (* Om (pow ky 6)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 2) (pow l 3)))) (* 1/4 (/ Om l))))) ky))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* -1/32 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* (pow Om 2) (- (* 3/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -5/4096 (/ (pow Om 2) (* (pow ky 7) (pow l 7)))) (* 3/512 (/ 1 (* (pow ky 5) (pow l 5)))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l)))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6)))) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow ky 4) (pow l 2)) (pow Om 4))) (* 2 (/ (pow ky 2) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (* (pow ky 6) (pow l 2)) (pow Om 6))))))))
(* 2 (/ (* ky l) Om))
(* l (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om))))
(* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om)))))
(* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 5) (pow l 6)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om))))))
(* -2 (/ (* ky l) Om))
(* -1 (* l (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om)))))
(* -1 (* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om))))))
(* -1 (* l (+ (* -1/64 (/ (pow Om 3) (* (pow ky 3) (pow l 4)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 5) (pow l 6)))) (+ (* 1/4 (/ Om (* ky (pow l 2)))) (* 2 (/ ky Om)))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (* (pow ky 2) (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) (+ (* -2 (/ (pow l 4) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow l 6)) (pow Om 6))))))))
(* 2 (/ (* ky l) Om))
(* ky (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om))))
(* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om)))))
(* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om))))))
(* -2 (/ (* ky l) Om))
(* -1 (* ky (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om)))))
(* -1 (* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om))))))
(* -1 (* ky (+ (* -1/64 (/ (pow Om 3) (* (pow ky 4) (pow l 3)))) (+ (* 1/512 (/ (pow Om 5) (* (pow ky 6) (pow l 5)))) (+ (* 1/4 (/ Om (* (pow ky 2) l))) (* 2 (/ l Om)))))))
(* 2 (/ (* ky l) Om))
(/ (+ (* 1/4 (/ (pow Om 2) (* ky l))) (* 2 (* ky l))) Om)
(/ (+ (* 2 (* ky l)) (* (pow Om 2) (+ (* -1/64 (/ (pow Om 2) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ 1 (* ky l)))))) Om)
(/ (+ (* 2 (* ky l)) (* (pow Om 2) (+ (* (pow Om 2) (- (* 1/512 (/ (pow Om 2) (* (pow ky 5) (pow l 5)))) (* 1/64 (/ 1 (* (pow ky 3) (pow l 3)))))) (* 1/4 (/ 1 (* ky l)))))) Om)
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (+ (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow ky 6) (pow l 6)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow ky 4) (pow l 4)) (pow Om 4))) (+ (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow ky 6) (pow l 6)) (pow Om 6))))))
1/2
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* 1/4 (/ Om (* l (sin ky))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* 1/4 (/ Om (* l (sin ky))))
(/ (+ (* 1/4 (/ 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 (+ (* 7/1440 (/ (* Om (pow ky 2)) l)) (* 1/24 (/ Om l))))))) 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))))))
(* 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))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* l (* (sin ky) (sqrt 1/2))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))))
(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (pow (sqrt -1) 2)))
(* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2))))))
(* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2)))))))
(* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2))))))))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin ky)) Om)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3)))) (* 1/2 (sqrt (/ (sin ky) (* Om l))))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* 1/2 (sqrt (/ (sin ky) (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow (sin ky) 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow (sin ky) 5) (* (pow Om 5) l))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* (sin ky) (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* l (* (pow (sin ky) 3) (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* (sin ky) (sqrt 1/2))))) l)))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(/ 1/2 Om)
(/ (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))) Om)
(/ (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))) Om)
(/ (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))) Om)
(/ 1/4 (* l (sin ky)))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(/ 1/4 (* l (sin ky)))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(/ 1/4 (* l (sin ky)))
(/ (+ (* 1/2 (/ l Om)) (* 1/4 (/ 1 (sin ky)))) l)
(/ (+ (* 1/2 (/ l Om)) (* 1/4 (/ 1 (sin ky)))) l)
(/ (+ (* 1/2 (/ l Om)) (* 1/4 (/ 1 (sin ky)))) l)
(/ 1/2 Om)
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(/ 1/2 Om)
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(/ 1/4 (* ky l))
(/ (+ (* 1/2 (/ ky Om)) (* 1/4 (/ 1 l))) ky)
(/ (+ (* ky (+ (* 1/24 (/ ky l)) (* 1/2 (/ 1 Om)))) (* 1/4 (/ 1 l))) ky)
(/ (+ (* ky (+ (* ky (+ (* 7/1440 (/ (pow ky 2) l)) (* 1/24 (/ 1 l)))) (* 1/2 (/ 1 Om)))) (* 1/4 (/ 1 l))) ky)
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
(/ 1/2 Om)
1
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (* ky (sin ky)) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))
(/ (+ (* 4 (* ky (* (pow l 2) (sin ky)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* ky (* (pow l 2) (sin ky)))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* ky (* (pow l 2) (sin ky)))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 1/30 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))
(* ky (+ (* 4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky)))
(* ky (+ (* 4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky)))
(* ky (+ (* 4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky)))
(* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))
(* -1 (* ky (- (* -4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky))))
(* -1 (* ky (- (* -4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky))))
(* -1 (* ky (- (* -4 (/ (* (pow l 2) (sin ky)) (pow Om 2))) (/ 1 ky))))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* ky l) Om))
(* ky (+ (* -2/3 (/ (* (pow ky 2) l) Om)) (* 4 (/ l Om))))
(* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* 1/30 (/ (* (pow ky 2) l) Om))))))
(* ky (+ (* 4 (/ l Om)) (* (pow ky 2) (+ (* -2/3 (/ l Om)) (* (pow ky 2) (+ (* -1/1260 (/ (* (pow ky 2) l) Om)) (* 1/30 (/ l Om))))))))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
(* 4 (/ (* l (sin ky)) Om))
1
(+ 1 (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (* ky (sin ky)) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 1/4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (* ky (sin ky)) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* ky (* (sin ky) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2))) (* 64 (/ (* (pow ky 3) (pow (sin ky) 3)) (pow Om 6))))) (* -1/2 (/ (* ky (* (sin ky) (- (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 1/4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 1/4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3))))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* l (* (sin ky) (pow (sqrt 1/2) 3)))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (* ky (sin ky))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3))))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* ky (* (sin ky) (pow (sqrt 1/2) 3)))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (* ky (sin ky))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (* ky (sin ky)))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))) (* 1/8 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 (* l (sqrt 1/2))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* -1/512 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* ky (* (pow l 2) (* (sin ky) (pow (sqrt 1/2) 3)))))))))))
1
(+ 1 (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3)))))) (* -1/2 (* ky (* (pow l 2) (* (sin ky) (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3)))))) (* -1/2 (* ky (* (pow l 2) (* (sin ky) (- (* -1/4 (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))))) (* 1/4 (* (pow ky 2) (* (pow l 4) (pow (sin 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))) (+ (* -2/3 (/ (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))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (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))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))) (* -1/64 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1/64 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (* 1/256 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (* (pow (sin ky) 5) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))))))))
(+ (sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1/64 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (+ (* 1/256 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (* (pow (sin ky) 5) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (* 1/2 (* (/ (- (* -1/2 (* (/ (* l (+ (* 1/256 (/ (* (pow Om 6) ky) (* (pow l 6) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4)))))) Om) (sqrt (* ky (sin ky))))) (* 1/4096 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))))) (pow ky 4)) (sqrt (/ 1 (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))))))
(sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))
(+ (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))) (* -1/128 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))))
(+ (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1/128 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (* 1/512 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 5) (* (pow (sin ky) 5) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))))))))
(+ (sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))) (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/4 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (* ky (sin ky))))) (* -1/16384 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (* (pow (sqrt -1/4) 2) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))) ky) (sqrt (/ 1 (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))) (* -1/512 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (* (pow (sin ky) 5) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))))))) (pow ky 3))) (* -1/128 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (* (pow (sin ky) 3) (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))))))))
1
(+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (* ky (sin ky)) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (* ky (sin ky)) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* ky (* (sin ky) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2))) (* 64 (/ (* (pow ky 3) (pow (sin ky) 3)) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 5))) (sqrt (* ky (sin ky))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* Om (sqrt (/ 1 (* ky (sin ky))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* Om (sqrt (/ 1 (* ky (sin ky)))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))))))
(+ 1/2 (* Om (+ (* 1/4 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))))))))
1
(+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin 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))) (+ (* -2/3 (/ (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))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/128 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))
(+ 1/2 (+ (* -1/2 (* (/ (* l (+ (* 1/256 (/ (* (pow Om 6) ky) (* (pow l 6) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4)))))) Om) (sqrt (/ (sin ky) (pow ky 7))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/128 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))))
(+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ 1/2 (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))
(+ 1/2 (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/256 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/256 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (pow (sin ky) 5))))) (* 1/4 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (/ (sin ky) ky))))) (pow ky 3))) (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* 2 (* (/ (* (pow kx 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 1/2 (* (* (pow kx 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* (pow kx 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow kx 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* 2 (* (/ (* (pow ky 2) (pow l 2)) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 1/2 (* (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))) (* (pow ky 2) (+ (* 2 (* (/ (pow l 2) (pow Om 2)) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))) (* (pow ky 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))) (* 1/2 (* (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (* (pow Om 4) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (* (pow Om 2) (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))))))) (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2)))))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om) (/ (* (pow kx 2) l) Om))
(+ (* (pow kx 2) (+ (* -1/3 (/ (* (pow kx 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow kx 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 ky))))) Om))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om)
(+ (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om) (/ (* (pow ky 2) l) Om))
(+ (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om))) (/ (* l (+ 1/2 (* -1/2 (cos (* 2 kx))))) Om))
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) Om)
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (pow ky 2) (pow Om 2))) (/ 1 (pow l 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (/ 1 (pow ky 2))))
(* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow ky 2) (pow l 2))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ (pow ky 2) (pow Om 2))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* ky l))
(/ (+ (* 1/24 (/ (pow ky 2) l)) (* 1/4 (/ 1 l))) ky)
(/ (+ (* (pow ky 2) (+ (* 7/1440 (/ (pow ky 2) l)) (* 1/24 (/ 1 l)))) (* 1/4 (/ 1 l))) ky)
(/ (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* 31/60480 (/ (pow ky 2) l)) (* 7/1440 (/ 1 l)))) (* 1/24 (/ 1 l)))) (* 1/4 (/ 1 l))) ky)
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(/ 1/4 (* l (sin ky)))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* ky l)
(* ky (+ l (* -1/6 (* (pow ky 2) l))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* 1/120 (* (pow ky 2) l))))))
(* ky (+ l (* (pow ky 2) (+ (* -1/6 l) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) l)) (* 1/120 l)))))))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
(* l (sin ky))
1
(+ 1 (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* ky (sin ky)) (pow Om 2))) (* -1/2 (* (pow l 2) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* ky (sin ky)) (pow Om 2))) (* (pow l 2) (+ (* -1/2 (* (pow l 2) (+ (* 2 (/ (* ky (* (sin ky) (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4)))))) (pow Om 2))) (* 64 (/ (* (pow ky 3) (pow (sin ky) 3)) (pow Om 6)))))) (* -1/2 (+ (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))) (* 4 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))
(/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky)))))))) l)
(/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (* (pow ky 4) (pow (sin ky) 4)))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))))) (* ky (sin ky))))) (* Om (pow l 6))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))))) l)
(* -1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))
(* -1 (/ (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky)))))))) l))
(* -1 (/ (+ (* -1 (* (/ (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3))))) (* Om (pow l 4))) (sqrt (* ky (sin ky))))) (+ (* -1 (* (/ (+ (* 1/256 (/ (pow Om 8) (* (pow ky 4) (pow (sin ky) 4)))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 6) (* (pow ky 3) (pow (sin ky) 3)))))) (* ky (sin ky))))) (* Om (pow l 6))) (sqrt (* ky (sin ky))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* Om (sqrt (/ 1 (* ky (sin ky))))))))) l))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))
(* Om (+ (* -1/16 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l)))))
(* Om (+ (* 1/2 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* 3/256 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5))))))))))
(* Om (+ (* 1/2 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* (pow Om 2) (+ (* -5/2048 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (* (pow ky 7) (pow (sin ky) 7)))))) (* 3/256 (* (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))) (/ 1 (pow l 5))))))))))
1
(+ 1 (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4)))))
(+ 1 (+ (* -2 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (pow Om 4))) (* -1/2 (/ (+ (* 2 (* ky (* (pow l 2) (* (sin ky) (+ (* -16 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2)))) (* 4 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))))) (* 64 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (pow Om 6))))))
1
(+ 1 (* -2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -2 (/ (pow l 2) (pow Om 2))) (* -1/2 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (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))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/2 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -2/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))
(+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/64 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky))))))))
(+ (* -1 (* (/ (* l (+ (* 1/256 (/ (* (pow Om 6) ky) (* (pow l 6) (pow (sin ky) 3)))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4)))))) Om) (sqrt (/ (sin ky) (pow ky 7))))) (+ (* -1/16 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/64 (* (/ (pow Om 5) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* 1/2 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))))
(* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))
(+ (* -1/32 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))
(+ (* -1/32 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (+ (* 1/128 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))) (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))
(+ (* -1 (/ (+ (* -1/128 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (pow (sin ky) 5))))) (* 1/2 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (/ (sin ky) ky))))) (pow ky 3))) (+ (* -1/32 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))
(/ (* 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)
1
(+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+ 1 (* (pow l 2) (- (* 16 (/ (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (sin ky)) (pow Om 2))))))
(+ 1 (* (pow l 2) (- (* (pow l 2) (- (* -64 (/ (* (pow ky 3) (* (pow l 2) (pow (sin ky) 3))) (pow Om 6))) (* -16 (/ (* (pow ky 2) (pow (sin ky) 2)) (pow Om 4))))) (* 4 (/ (* ky (sin ky)) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2)))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 4) (* (pow l 6) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(/ (+ (* -1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (pow l 2))
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2)))))) (pow l 2))
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 4) (* (pow l 6) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* ky (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 3) (* (pow l 4) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow ky 2) (* (pow l 2) (pow (sin ky) 2))))))) (pow l 2))
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ 1 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow ky 4) (* (pow l 8) (pow (sin ky) 4))))) (* 1/64 (/ 1 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))))) (* 1/16 (/ 1 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))
1
(+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4)))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))) (pow Om 6)))) (+ (* -16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))))
1
(+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(- (+ 1 (* 16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4)))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(- (+ 1 (* -64 (/ (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))) (pow Om 6)))) (+ (* -16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))))
1
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(/ (+ (* -1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky)
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 2) (* (pow l 6) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2)))))) ky)
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 3) (* (pow l 8) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 2) (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2))))))) ky)
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(* -1 (/ (+ (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky)))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2)))))) ky))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow Om 6) (* ky (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow l 4) (pow (sin ky) 2))))) ky)) (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow Om 8) (* ky (* (pow l 8) (pow (sin ky) 4))))) (* 1/64 (/ (pow Om 6) (* (pow l 6) (pow (sin ky) 3))))) ky)) (* 1/16 (/ (pow Om 4) (* (pow l 4) (pow (sin ky) 2))))) ky)) (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky))

Outputs
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+.f64 #s(literal 1/2 binary64) (fma.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 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) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) (.f64 ky ky)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) kx)) #s(literal 1/2 binary64)) (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (.f64 ky ky) #s(literal 1 binary64))))
(+ 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) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 (.f64 l l) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) (neg.f64 (.f64 Om Om))) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 l l)) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) (neg.f64 (*.f64 Om Om)))) #s(literal 1 binary64))
(+ 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))))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ 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)))))))))))
(+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(+ 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))))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -3/256 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) (.f64 Om (pow.f64 l #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 Om (.f64 Om Om))) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ 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)))
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(+ 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)))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 kx)))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))))
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(+ 1 (+ (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2)))))
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(+ 1 (+ (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))) (pow Om 2))) (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2)))))))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (pow Om 2))))
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(+ 1 (* 4 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* -1/2 (cos (* 2 kx)))))) (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) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
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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))))
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(+ 1/2 (* -1/2 (cos (* 2 kx))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
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(* 1/2 (sqrt (/ Om (* ky l))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 ky l))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))
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(* 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)))))))
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(* 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))))))))
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(* -1 (* (sqrt (/ Om (* ky l))) (* (sqrt -1) (sqrt -1/4))))
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(* -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)))))))
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(* -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))))))))
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(* 1/2 (sqrt (/ Om (* ky l))))
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(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* 1/2 (sqrt (/ (* ky (pow l 3)) Om)))) l)
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow ky 3))) (* -1/512 (/ (pow Om 3) (* (pow ky 3) (pow (sqrt 1/2) 4))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3))))) l)) (* 1/8 (/ Om (* ky (sqrt 1/2))))) l)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 l l)) (*.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow l 6) (pow Om 6))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (* 4 (/ (pow l 4) (pow Om 4))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 ky ky) (.f64 (.f64 l l) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))) (* 1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* (pow ky 3) (sqrt 1/2)))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Om Om)) (.f64 (.f64 ky (.f64 l l)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) ky))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (/ (pow Om 3) (pow l 3))) (* -1/512 (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* ky (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) ky)) (* 1/8 (/ Om (* l (sqrt 1/2))))) ky)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) Om) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 l (.f64 l l))) (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om (.f64 Om Om)) (.f64 (.f64 l (.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))) (.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 Om Om)) (.f64 (.f64 l l) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) ky)) ky))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 ky (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 #s(literal -1/128 binary64) (/.f64 Om (.f64 (.f64 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.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/2 (/ (* Om (- (* 1/512 (/ 1 (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 4))))) (* 1/32 (/ 1 (* (pow ky 3) (pow l 3)))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 l (.f64 l l)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal -1/32 binary64) (.f64 (.f64 ky (.f64 ky ky)) (.f64 l (.f64 l l)))))) (sqrt.f64 #s(literal 1/2 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))))))) (/.f64 #s(literal 1/8 binary64) (.f64 ky (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 l l)) (.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 l #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 l l)) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64)))))))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4)))))
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(+ 1 (+ (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow ky 2) (* (pow l 2) (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))))) (* 64 (* (pow ky 6) (pow l 6))))) (* -1/2 (* (pow ky 2) (* (pow l 2) (- (* -1/4 (+ (* -16 (* (pow ky 4) (pow l 4))) (* 4 (* (pow ky 4) (pow l 4))))) (* 1/4 (* (pow ky 4) (pow l 4)))))))) (pow Om 6))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 l l)) (.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 (.f64 #s(literal 64 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 l #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 l l)) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -12 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64)))))))) (pow.f64 Om #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 (neg.f64 (.f64 ky ky)) (/.f64 (.f64 l l) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4)))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 l l)) (.f64 (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)) (/.f64 (.f64 ky ky) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1 (/ (pow ky 2) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (pow ky 2) (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow ky 6) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow ky 4) (pow Om 4))) (* 4 (/ (pow ky 4) (pow Om 4))))))))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64))) (.f64 Om Om)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (.f64 (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) #s(literal -12 binary64)))) (/.f64 (.f64 ky ky) (neg.f64 (.f64 Om Om)))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l)))))
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(+ 1/2 (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 5)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 3)))) (* 1/4 (/ Om (* ky l))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ Om (* ky l))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 ky l)) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky))) l)))
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(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* ky (+ (* -1/64 (/ (pow Om 6) (pow ky 6))) (* 1/256 (/ (pow Om 6) (pow ky 6))))) (* Om (pow l 4)))) (+ (* -1/32 (/ (pow Om 3) (* (pow ky 3) (pow l 2)))) (* 1/4 (/ Om ky)))) l)))
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1
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#s(literal 1/2 binary64)
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#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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#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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(* 1/4 (/ Om (* l (sin ky))))
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(+ 1/2 (* 1/4 (/ Om (* l (sin ky)))))
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1/2
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(/.f64 (.f64 #s(literal 1/4 binary64) Om) (.f64 ky l))
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(* 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)))))
(* 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)))))
(* 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)))))
(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))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 #s(literal 1/1024 binary64) (/.f64 Om (.f64 (.f64 l (.f64 l l)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 l l) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))
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(* 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)))))))
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(* Om (+ (* -1/4 (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* l (sin ky)))))) (* 1/2 (sqrt (/ (* l (sin ky)) (pow Om 3))))))))
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(* -1/2 (* (sqrt (/ Om (* l (sin ky)))) (pow (sqrt -1) 2)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal -1 binary64)))
(* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2))))))
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(* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2)))))))
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(* -1 (* Om (+ (* -1/2 (* (sqrt (/ (* l (sin ky)) (pow Om 3))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 3) (pow (sin ky) 3)) (pow Om 5))) (pow (sqrt -1) 2))) (+ (* -1/4 (* (sqrt (/ (* (pow l 5) (pow (sin ky) 5)) (pow Om 7))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* Om (* l (sin ky))))) (pow (sqrt -1) 2))))))))
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(* 1/2 (sqrt (/ Om (* l (sin ky)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (.f64 l (sin.f64 ky)))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* 1/2 (sqrt (/ (* (pow l 3) (sin ky)) Om)))) l)
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(/ (+ (* 1/2 (sqrt (/ (* Om l) (sin ky)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* l (pow (sin ky) 3)) (pow Om 3)))) (* 1/2 (sqrt (/ (sin ky) (* Om l))))))) l)
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(/ (+ (* 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)
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(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sin ky) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow l 3) (* (pow (sin ky) 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ Om (* l (* (sin ky) (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 Om (.f64 (.f64 l (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
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(+ (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))))
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
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(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
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(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt (* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(/ 1/2 Om)
(/.f64 #s(literal 1/2 binary64) Om)
(/ (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))) Om)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) Om)
(/ (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))) Om)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) Om)
(/ (+ 1/2 (* 1/4 (/ Om (* l (sin ky))))) Om)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) Om)
(/ 1/4 (* l (sin ky)))
(/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky)))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))))
(/ 1/4 (* l (sin ky)))
(/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky)))
(+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* l (sin ky)))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(sqrt (+ 1/2 (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky))))))))
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (* ky (sin ky)))))))
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(+ 1/2 (* Om (+ (* 1/4 (* (sqrt (/ 1 (* ky (sin ky)))) (/ 1 l))) (* (pow Om 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))) (/ 1 (pow l 3)))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (* (pow ky 5) (pow (sin ky) 5)))))))))))
(fma.f64 Om (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 ky (.f64 ky ky)) (pow.f64 (sin.f64 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) (.f64 (pow.f64 ky #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (sin.f64 ky)))) l))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
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(+ 1/2 (+ (* -1 (/ (+ (* -1/256 (* (/ (* (pow Om 5) (sqrt -1)) (* (pow l 5) (sqrt -1/4))) (sqrt (/ ky (pow (sin ky) 5))))) (* 1/4 (* (/ (* l (* (sqrt -1) (+ (* -1/1024 (/ (* (pow Om 6) ky) (* (pow l 6) (* (pow (sin ky) 3) (pow (sqrt -1/4) 2))))) (* 1/256 (/ (pow Om 8) (* (pow l 8) (pow (sin ky) 4))))))) (* Om (sqrt -1/4))) (sqrt (/ (sin ky) ky))))) (pow ky 3))) (+ (* -1/64 (* (/ (* (pow Om 3) (sqrt -1)) (* (pow l 3) (sqrt -1/4))) (sqrt (/ 1 (* (pow ky 3) (pow (sin ky) 3)))))) (* 1/2 (* (/ (* Om (* (sqrt -1) (sqrt -1/4))) l) (sqrt (/ 1 (* ky (sin ky)))))))))
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(pow ky 2)
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(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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1
#s(literal 1 binary64)
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(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) (*.f64 Om Om))) #s(literal 1 binary64))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))
(.f64 l (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(.f64 l (fma.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(.f64 l (fma.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))))))))
(* -2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))
(.f64 (neg.f64 l) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))))))
(.f64 (neg.f64 l) (fma.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))))
(.f64 (neg.f64 l) (fma.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (.f64 Om (.f64 Om Om)) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))))))))
(* 2 (* (/ l Om) (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 l Om)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) Om)
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))))))) Om)
(/.f64 (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (.f64 Om Om) (.f64 l (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 5)))))))))) Om)
(/.f64 (fma.f64 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 l (.f64 l l))) (.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 Om Om) (pow.f64 l #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 5 binary64)))))) (.f64 (/.f64 #s(literal 1/4 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) l) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))))) Om)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -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)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) (.f64 Om Om)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(+ 1 (+ (* -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)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) (.f64 Om Om)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky))))) 3)) (pow Om 6))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64)))) (.f64 Om Om)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))
(+ (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow Om 2))))) (* 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)))))))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 l l) (.f64 Om Om)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))
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(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om)
(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
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(/ (* l (+ 1 (+ (* -1/2 (cos (* 2 kx))) (* -1/2 (cos (* 2 ky)))))) Om)
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1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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1
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(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (.f64 (.f64 ky (*.f64 l l)) (sin.f64 ky)))
(* (pow Om 2) (+ (* -1/16 (/ (pow Om 2) (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))
(.f64 (.f64 Om Om) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 ky (*.f64 l l)) (sin.f64 ky)))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* 1/64 (/ (pow Om 2) (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ 1 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))
(.f64 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 ky (.f64 l l)) (sin.f64 ky)))))
(* (pow Om 2) (+ (* (pow Om 2) (- (* (pow Om 2) (+ (* -1/256 (/ (pow Om 2) (* (pow ky 4) (* (pow l 8) (pow (sin ky) 4))))) (* 1/64 (/ 1 (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))))))) (* 1/16 (/ 1 (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))))))) (* 1/4 (/ 1 (* ky (* (pow l 2) (sin ky)))))))
(.f64 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 (.f64 Om Om) (fma.f64 #s(literal -1/256 binary64) (/.f64 (.f64 Om Om) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (pow.f64 l #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 ky (*.f64 l l)) (sin.f64 ky)))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 ky (.f64 l l)) (sin.f64 ky)) (.f64 Om Om)) #s(literal 1 binary64))
(- (+ 1 (* 16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4)))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 ky (.f64 l l)) (sin.f64 ky)) (.f64 Om Om))))
(- (+ 1 (* -64 (/ (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))) (pow Om 6)))) (+ (* -16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))))
(-.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) ky) (.f64 (.f64 l l) (sin.f64 ky))) (.f64 Om Om))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 ky (.f64 l l)) (sin.f64 ky)) (.f64 Om Om)) #s(literal 1 binary64))
(- (+ 1 (* 16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4)))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2))))
(+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 ky (.f64 l l)) (sin.f64 ky)) (.f64 Om Om))))
(- (+ 1 (* -64 (/ (* (pow ky 3) (* (pow l 6) (pow (sin ky) 3))) (pow Om 6)))) (+ (* -16 (/ (* (pow ky 2) (* (pow l 4) (pow (sin ky) 2))) (pow Om 4))) (* 4 (/ (* ky (* (pow l 2) (sin ky))) (pow Om 2)))))
(-.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (pow.f64 Om #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) ky) (.f64 (.f64 l l) (sin.f64 ky))) (.f64 Om Om))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(fma.f64 #s(literal -4 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 ky ky) (fma.f64 (neg.f64 (.f64 ky ky)) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 l l)) (.f64 Om Om))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 l l) (.f64 Om Om)))) #s(literal 1 binary64))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 1/30 (/ (pow l 2) (pow Om 2))) (* 8/3 (/ (pow l 4) (pow Om 4))))))) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -2/3 (/ (pow l 2) (pow Om 2)))))) (* 4 (/ (pow l 2) (pow Om 2))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (neg.f64 (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 l l)) (.f64 Om Om)))) (.f64 Om Om)) (fma.f64 #s(literal 1/30 binary64) (/.f64 (.f64 l l) (.f64 Om Om)) (/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 Om #s(literal 4 binary64))))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 l l)) (.f64 Om Om))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 l l) (.f64 Om Om)))) #s(literal 1 binary64))
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (.f64 (.f64 ky (*.f64 l l)) (sin.f64 ky)))
(/ (+ (* -1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) (sin.f64 ky))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (.f64 ky (pow.f64 l #s(literal 4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) ky)
(/ (- (+ (* 1/64 (/ (pow Om 6) (* (pow ky 2) (* (pow l 6) (pow (sin ky) 3))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2)))))) ky)
(/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) (sin.f64 ky))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (*.f64 ky (pow.f64 l #s(literal 4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) ky)
(/ (- (+ (* -1/256 (/ (pow Om 8) (* (pow ky 3) (* (pow l 8) (pow (sin ky) 4))))) (* 1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) (+ (* -1/64 (/ (pow Om 6) (* (pow ky 2) (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2))))))) ky)
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) (sin.f64 ky))) (/.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 Om #s(literal 8 binary64))) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (pow.f64 l #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (.f64 (.f64 ky ky) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (.f64 ky (pow.f64 l #s(literal 4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) ky)
(* 1/4 (/ (pow Om 2) (* ky (* (pow l 2) (sin ky)))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (.f64 (.f64 ky (*.f64 l l)) (sin.f64 ky)))
(* -1 (/ (+ (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky)))) (* 1/16 (/ (pow Om 4) (* ky (* (pow l 4) (pow (sin ky) 2)))))) ky))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 Om Om) (.f64 (.f64 l l) (sin.f64 ky))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (.f64 ky (pow.f64 l #s(literal 4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow Om 6) (* ky (* (pow l 6) (pow (sin ky) 3))))) (* 1/16 (/ (pow Om 4) (* (pow l 4) (pow (sin ky) 2))))) ky)) (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om Om)) (.f64 (.f64 l l) (sin.f64 ky))) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (.f64 (.f64 ky (pow.f64 l #s(literal 6 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) ky)) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow Om 8) (* ky (* (pow l 8) (pow (sin ky) 4))))) (* 1/64 (/ (pow Om 6) (* (pow l 6) (pow (sin ky) 3))))) ky)) (* 1/16 (/ (pow Om 4) (* (pow l 4) (pow (sin ky) 2))))) ky)) (* -1/4 (/ (pow Om 2) (* (pow l 2) (sin ky))))) ky))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 Om Om)) (.f64 (.f64 l l) (sin.f64 ky))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 Om #s(literal 8 binary64)) (.f64 (.f64 ky (pow.f64 l #s(literal 8 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (-.f64 #s(literal 0 binary64) ky)) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) ky)) (-.f64 #s(literal 0 binary64) ky))

eval261.0ms (1.8%)

Memory: 21.5MiB live, 440.6MiB allocated
Compiler: Compiled 55 500 to 6 256 computations (88.7% saved)

prune254.0ms (1.7%)

Memory

-13.5MiB live, 308.9MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 727	4	1 731
Fresh	1	3	4
Picked	2	3	5
Done	0	4	4
Total	1 730	14	1 744

Accuracy

100.0%

Counts

1 744 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	70.2%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	47.6%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
✓	51.4%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
	46.5%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
	65.7%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	54.9%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 ky l) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (.f64 ky l))) Om)) #s(literal 1/2 binary64)))
✓	64.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	80.7%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))))
✓	47.5%	(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
	92.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) kx)) (cos.f64 (*.f64 #s(literal -2 binary64) ky))) #s(literal 1 binary64))) Om) #s(literal 1 binary64)))))))
	92.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
✓	55.9%	(sqrt.f64 #s(literal 1/2 binary64))
✓	62.8%	#s(literal 1 binary64)

Compiler

Compiled 791 to 388 computations (50.9% saved)

regimes208.0ms (1.4%)

Memory

-0.6MiB live, 194.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

Calls

19 calls:

28.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
26.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
20.0ms	(*.f64 #s(literal 2 binary64) l)
19.0ms	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
8.0ms	(sin.f64 ky)

Results

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

Compiler

Compiled 275 to 198 computations (28% saved)

regimes82.0ms (0.6%)

Memory

4.9MiB live, 43.6MiB 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 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 ky l) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 Om Om)) (.f64 ky l))) Om)) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l (sin.f64 ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

6 calls:

49.0ms	kx
6.0ms	(sin.f64 ky)
6.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
6.0ms	ky
6.0ms	l

Results

Accuracy	Segments	Branch
95.8%	2	`l`
94.7%	2	`Om`
92.5%	1	`kx`
100.0%	2	`ky`
100.0%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
100.0%	3	`(sin.f64 ky)`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes44.0ms (0.3%)

Memory

6.7MiB live, 44.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

20.0ms	(sin.f64 ky)
5.0ms	ky
5.0ms	l
5.0ms	Om
5.0ms	kx

Results

Accuracy	Segments	Branch
90.9%	2	`kx`
92.9%	3	`Om`
94.4%	3	`l`
91.9%	3	`(sin.f64 ky)`
91.4%	2	`ky`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes43.0ms (0.3%)

Memory

-12.0MiB live, 28.1MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

25.0ms	ky
5.0ms	l
5.0ms	kx
5.0ms	Om

Results

Accuracy	Segments	Branch
83.0%	2	`kx`
91.5%	3	`Om`
86.8%	3	`ky`
92.2%	3	`l`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

#s(literal 1 binary64)

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
92.2%	3	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes36.0ms (0.2%)

Memory

-1.4MiB live, 35.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

#s(literal 1 binary64)

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

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

Calls

4 calls:

21.0ms	(sin.f64 ky)
4.0ms	l
4.0ms	Om
4.0ms	ky

Results

Accuracy	Segments	Branch
75.9%	4	`ky`
84.3%	2	`Om`
70.5%	3	`(sin.f64 ky)`
86.0%	3	`l`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(literal 1 binary64)

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-27.5MiB live, 11.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	Om
3.0ms	l

Results

Accuracy	Segments	Branch
84.3%	2	`Om`
83.3%	2	`l`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory

13.2MiB live, 13.2MiB 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:

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

Results

Accuracy	Segments	Branch
62.8%	1	`ky`
62.8%	1	`kx`
62.8%	1	`l`
62.8%	1	`Om`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4995186754032906e-34	1.662373945923802e-30

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch112.0ms (0.8%)

Memory

-14.0MiB live, 73.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
66.0ms	1.5491896391013563e+125	6.592524671925008e+128
41.0ms	8.785544994328864e-180	2.011254357094012e-177

Samples

98.0ms

240×

valid

Compiler

Compiled 927 to 673 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-pow2: 46.0ms (51.2% of total)

ival-sin: 29.0ms (32.3% of total)

ival-div: 5.0ms (5.6% of total)

ival-mult: 4.0ms (4.5% of total)

ival-add: 3.0ms (3.3% of total)

ival-sqrt: 3.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch85.0ms (0.6%)

Memory

27.9MiB live, 66.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	6.592524671925008e+128	3.4163532115890067e+130
22.0ms	8.785544994328864e-180	2.011254357094012e-177

Samples

71.0ms

224×

valid

Compiler

Compiled 729 to 547 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 38.0ms (59.1% of total)

ival-sin: 9.0ms (14% of total)

ival-pow2: 6.0ms (9.3% of total)

ival-div: 5.0ms (7.8% of total)

ival-add: 3.0ms (4.7% of total)

ival-sqrt: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch101.0ms (0.7%)

Memory

-3.0MiB live, 73.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	6.592524671925008e+128	3.4163532115890067e+130
55.0ms	8.785544994328864e-180	2.011254357094012e-177

Samples

88.0ms

224×

valid

Compiler

Compiled 561 to 442 computations (21.2% saved)

Precisions

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

ival-add: 35.0ms (43.2% of total)

ival-pow2: 25.0ms (30.9% of total)

ival-sin: 9.0ms (11.1% of total)

ival-div: 5.0ms (6.2% of total)

ival-mult: 4.0ms (4.9% of total)

ival-sqrt: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Memory

-10.9MiB live, 30.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.3321743432872858e+134	1.2730702345473205e+135
56.0ms	1.9769757694532873e-30	2.806426081364155e-29

Samples

65.0ms

176×

valid

Compiler

Compiled 382 to 298 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sin: 44.0ms (73.7% of total)

ival-pow2: 5.0ms (8.4% of total)

ival-div: 4.0ms (6.7% of total)

ival-mult: 3.0ms (5% of total)

ival-add: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Memory

1.4MiB live, 39.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.3321743432872858e+134	1.2730702345473205e+135
19.0ms	1.9769757694532873e-30	2.806426081364155e-29

Samples

35.0ms

176×

valid

Compiler

Compiled 371 to 287 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-pow2: 11.0ms (37.1% of total)

ival-sin: 7.0ms (23.6% of total)

ival-div: 3.0ms (10.1% of total)

ival-mult: 3.0ms (10.1% of total)

ival-add: 2.0ms (6.8% of total)

ival-sqrt: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch36.0ms (0.2%)

Memory

-4.6MiB live, 33.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	7.6621890790490555e-87	8.78127880326665e-85

Samples

30.0ms

112×

valid

Compiler

Compiled 127 to 120 computations (5.5% saved)

Precisions

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

ival-sin: 5.0ms (33.4% of total)

ival-pow2: 3.0ms (20% of total)

ival-div: 2.0ms (13.4% of total)

ival-mult: 2.0ms (13.4% of total)

ival-add: 1.0ms (6.7% of total)

ival-sqrt: 1.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	326
1	128	326

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 l (/.f64 Om (sin.f64 ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64))))))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 l #s(literal 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (*.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 l #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 1279999999999999942309256548477372620198428811185091087165392125762289337637270351635761939494151334511202864305529511797256617984 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 649999999999999999397891654244478939266245206108146670280504488019785695423607666508096068014872663892581675228638015920944557143883776 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 1250000000000000073330076587592514969432755357987163048511714193188727669006726951188096919745174198725503796982125937422100262952108032 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 Om #s(literal 3849561275618101/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 l (/.f64 Om (sin.f64 ky))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64))))))))
(if (<=.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (/.f64 l Om)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64))))))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 l #s(literal 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (*.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 l #s(literal 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 l l)) (.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) (/.f64 Om (sin.f64 ky))) (/.f64 (*.f64 l ky) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 l #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 l #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 l l)) (*.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 1279999999999999942309256548477372620198428811185091087165392125762289337637270351635761939494151334511202864305529511797256617984 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 1279999999999999942309256548477372620198428811185091087165392125762289337637270351635761939494151334511202864305529511797256617984 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 l l)) (*.f64 Om Om)) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 649999999999999999397891654244478939266245206108146670280504488019785695423607666508096068014872663892581675228638015920944557143883776 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 649999999999999999397891654244478939266245206108146670280504488019785695423607666508096068014872663892581675228638015920944557143883776 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 l (.f64 l #s(literal 4 binary64))) (/.f64 (.f64 ky ky) (.f64 Om Om)) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 1250000000000000073330076587592514969432755357987163048511714193188727669006726951188096919745174198725503796982125937422100262952108032 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal 1 binary64) (if (<=.f64 l #s(literal 1250000000000000073330076587592514969432755357987163048511714193188727669006726951188096919745174198725503796982125937422100262952108032 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 ky ky) (/.f64 (.f64 l l) (.f64 Om Om))) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 Om #s(literal 3849561275618101/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.4s (9.2%)

Memory

6.7MiB live, 1 328.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	348
1	293	311
2	2477	301
0	8526	280
0	1588	20193
1	5298	19794
0	8605	18416
0	582	10419
1	1932	10186
2	7935	10184
0	8045	9659
0	54	363
1	313	299
2	3220	278
0	8626	245
0	1694	17538
1	5507	17040
0	8262	16059
0	22	116
1	114	113
2	909	113
0	8496	109
0	2202	24679
1	6080	24156
0	8948	22913

Stop Event

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

Compiler

Compiled 739 to 424 computations (42.6% saved)

preprocess114.0ms (0.8%)

Memory

0.3MiB live, 235.9MiB allocated

Remove

(abs Om)

(abs l)

Compiler

Compiled 1 158 to 528 computations (54.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze133.0ms (0.9%)

sample2.2s (15%)

preprocess294.0ms (2%)

explain408.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify234.0ms (1.6%)

localize127.0ms (0.9%)

series74.0ms (0.5%)

rewrite490.0ms (3.3%)

simplify612.0ms (4.1%)

eval177.0ms (1.2%)

prune130.0ms (0.9%)

simplify524.0ms (3.5%)

localize512.0ms (3.4%)

series177.0ms (1.2%)

rewrite404.0ms (2.7%)

simplify795.0ms (5.3%)

eval365.0ms (2.5%)

prune273.0ms (1.8%)

simplify223.0ms (1.5%)

localize369.0ms (2.5%)

series124.0ms (0.8%)

rewrite444.0ms (3%)

simplify515.0ms (3.5%)

eval257.0ms (1.7%)

prune168.0ms (1.1%)

simplify442.0ms (3%)

localize347.0ms (2.3%)

series157.0ms (1.1%)

rewrite346.0ms (2.3%)

simplify607.0ms (4.1%)

eval261.0ms (1.8%)

prune254.0ms (1.7%)

regimes208.0ms (1.4%)

regimes82.0ms (0.6%)

regimes44.0ms (0.3%)

regimes43.0ms (0.3%)

regimes7.0ms (0%)

regimes36.0ms (0.2%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch112.0ms (0.8%)

bsearch85.0ms (0.6%)

bsearch101.0ms (0.7%)

bsearch75.0ms (0.5%)

bsearch45.0ms (0.3%)

bsearch36.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.4s (9.2%)

preprocess114.0ms (0.8%)

end0.0ms (0%)

Profiling