Metrics for Toniolo and Linder, Equation (3a)

analyze188.0ms (1.4%)

Memory

8.9MiB live, 328.1MiB 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 (16.1%)

Memory

27.8MiB live, 3 222.9MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sin: 426.0ms (31.3% of total)

ival-pow2: 292.0ms (21.5% of total)

ival-div: 222.0ms (16.3% of total)

ival-mult: 152.0ms (11.2% of total)

ival-sqrt: 131.0ms (9.6% of total)

ival-add: 119.0ms (8.8% of total)

exact: 8.0ms (0.6% of total)

ival-true: 6.0ms (0.4% of total)

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

Bogosity

preprocess241.0ms (1.8%)

Memory

26.2MiB live, 337.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 280×	`lower-*.f32`
5 274×	`lower-*.f64`
3 044×	`lower-/.f32`
3 040×	`lower-/.f64`
2 794×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	391
1	330	354
2	871	354
3	3861	354
4	7924	354
0	22	27
0	39	27
1	64	25
2	124	25
3	440	25
4	1734	25
5	3039	25
6	3563	25
7	3800	25
8	4308	25
9	5672	25
10	6664	25
0	10090	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs ky)

(abs kx)

(abs Om)

(abs l)

(sort kx ky)

explain475.0ms (3.5%)

Memory

-3.7MiB live, 710.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(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))))))`
8	-	-	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
0	-	-	`(+.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	28	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`	overflow	29
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	34
↳	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) 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	57
↳	`(+.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	57
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	60
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	*ou**	2	0
↳	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`	overflow	34
↳	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`	overflow	60
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	97
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	18
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	18
`*.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**	1	0

Confusion

	Predicted +	Predicted -
+	5	0
-	26	225

Precision

0.16129032258064516

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	26	0	225

Precision?

0.16129032258064516

Recall?

1.0

Freqs

test

number	freq
0	225
1	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

118.0ms

512×

valid

Compiler

Compiled 478 to 92 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sin: 32.0ms (37.3% of total)

ival-pow2: 19.0ms (22.1% of total)

ival-div: 11.0ms (12.8% of total)

ival-mult: 9.0ms (10.5% of total)

ival-add: 7.0ms (8.2% of total)

ival-sqrt: 7.0ms (8.2% of total)

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

exact: 1.0ms (1.2% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(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))))))))))

Status

Accuracy

Program

▶

98.0%

(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))))))))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify207.0ms (1.5%)

Memory

-20.0MiB live, 202.1MiB 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×	`lower-*.f32`
5 274×	`lower-*.f64`
3 044×	`lower-/.f32`
3 040×	`lower-/.f64`
2 794×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	198
0	39	198
1	64	194
2	124	194
3	440	194
4	1734	194
5	3039	194
6	3563	194
7	3800	194
8	4308	194
9	5672	194
10	6664	194
0	10090	188

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (0.6%)

Memory

19.1MiB live, 138.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
✓	accuracy	99.4%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	97.0%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	89.8%	(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

53.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sin: 12.0ms (30% of total)

ival-pow2: 11.0ms (27.5% of total)

ival-div: 5.0ms (12.5% of total)

ival-add: 4.0ms (10% of total)

ival-mult: 4.0ms (10% of total)

ival-sqrt: 3.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.4%)

Memory

-12.6MiB live, 104.2MiB allocated

Counts

7 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
6.0ms	ky	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
6.0ms	ky	@	0	(sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
5.0ms	kx	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
4.0ms	kx	@	-inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
3.0ms	kx	@	inf	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))

rewrite464.0ms (3.4%)

Memory

-0.7MiB live, 699.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 134×	`lower-fma.f64`
9 134×	`lower-fma.f32`
6 008×	`lower-*.f32`
6 002×	`lower-*.f64`
2 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
0	37	94
1	129	92
2	924	92
0	8513	89

Stop Event

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

Counts

7 → 621

Calls

Call 1

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

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

simplify402.0ms (3%)

Memory

37.7MiB live, 665.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 180×	`lower-fma.f64`
10 180×	`lower-fma.f32`
8 144×	`lower-*.f64`
8 144×	`lower-*.f32`
2 768×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	7346
1	1554	7187
2	6521	6855
0	8034	6493

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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))))
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(+ 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))))
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(+ 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))))
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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)

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

eval198.0ms (1.5%)

Memory: -23.5MiB live, 259.3MiB allocated
Compiler: Compiled 41 935 to 5 087 computations (87.9% saved)

prune141.0ms (1%)

Memory

39.3MiB live, 265.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	840	9	849
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	841	9	850

Accuracy

100.0%

Counts

850 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.6%	(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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	75.1%	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	82.1%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	82.1%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #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 2 binary64))))))
	47.1%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 l #s(literal 2 binary64))) Om)))))
▶	95.6%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l 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)))))))
▶	69.2%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))))))))
	64.4%	(sqrt.f64 #s(literal 1 binary64))
▶	53.7%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 490 to 346 computations (29.4% saved)

simplify576.0ms (4.2%)

Memory

-19.0MiB live, 823.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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)) (*.f64 ky ky))))
✓	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)) (.f64 ky ky))))))))
✓	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))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓	cost-diff	384	(fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

19 302×	`lower-fma.f32`
19 294×	`lower-fma.f64`
6 660×	`lower-*.f32`
6 634×	`lower-*.f64`
4 476×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	853
0	117	859
1	208	788
2	626	760
3	2884	760
4	7000	760
5	7581	760
6	7706	760
7	7714	760
8	7714	760
0	8886	723

Stop Event

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

Calls

Call 1

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

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

localize461.0ms (3.4%)

Memory

-8.0MiB live, 639.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
✓	accuracy	98.6%	(/.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)) (*.f64 ky ky))))))
✓	accuracy	80.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
✓	accuracy	74.2%	(.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)) (*.f64 ky ky)))
✓	accuracy	89.8%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))
✓	accuracy	87.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	77.5%	(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
✓	accuracy	71.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))
✓	accuracy	91.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64))))
✓	accuracy	87.8%	(.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om)))
✓	accuracy	77.6%	(/.f64 (.f64 l l) (.f64 Om Om))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	96.7%	(.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	89.8%	(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	87.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓	accuracy	71.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

104.0ms	73×	2	valid
97.0ms	98×	1	valid
81.0ms	85×	0	valid

Compiler

Compiled 885 to 65 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 70.0ms (31.8% of total)

ival-cos: 35.0ms (15.9% of total)

ival-sqrt: 27.0ms (12.3% of total)

ival-add: 25.0ms (11.4% of total)

adjust: 24.0ms (10.9% of total)

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

ival-pow2: 10.0ms (4.5% of total)

ival-sin: 5.0ms (2.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series338.0ms (2.5%)

Memory

6.6MiB live, 283.6MiB allocated

Counts

24 → 828

Calls

Call 1

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

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

Calls

207 calls:

Time	Variable		Point	Expression
53.0ms	Om	@	0	(sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (* ky ky)))))
44.0ms	Om	@	inf	(+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (* ky ky))))
35.0ms	l	@	0	(* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (* ky ky))))))))
19.0ms	ky	@	-inf	(+ (* (* (/ l Om) 4) (* (/ l Om) (+ (+ 1/2 (* -1/2 (cos (+ kx kx)))) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) 1)
17.0ms	kx	@	inf	(sqrt (+ (* 1/2 (sqrt (/ 1 (+ (* 4 (* (pow (sin kx) 2) (/ (* l l) (* Om Om)))) 1)))) 1/2))

rewrite493.0ms (3.6%)

Memory

3.3MiB live, 523.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 696×	`lower-*.f32`
3 672×	`lower-*.f64`
2 902×	`lower-fma.f32`
2 894×	`lower-fma.f64`
2 836×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	424
0	113	422
1	434	374
2	4164	368
0	8275	343

Stop Event

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

Counts

24 → 789

Calls

Call 1

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

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

simplify575.0ms (4.2%)

Memory

-4.0MiB live, 748.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 272×	`lower-*.f64`
8 272×	`lower-*.f32`
5 774×	`lower-fma.f64`
5 774×	`lower-fma.f32`
3 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1809	31333
1	6134	31125
0	8073	28938

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

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

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

eval313.0ms (2.3%)

Memory: 38.2MiB live, 594.0MiB allocated
Compiler: Compiled 76 632 to 7 646 computations (90% saved)

prune197.0ms (1.4%)

Memory

-18.7MiB live, 494.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 716	12	1 728
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	1 724	13	1 737

Accuracy

100.0%

Counts

1 737 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
▶	50.7%	(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
	42.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	48.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
▶	31.6%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	81.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	82.1%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	81.5%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	63.9%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	95.0%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
	70.8%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
✓	53.7%	(sqrt.f64 #s(literal 1/2 binary64))
▶	64.4%	#s(literal 1 binary64)

Compiler

Compiled 596 to 440 computations (26.2% saved)

simplify134.0ms (1%)

Memory

-3.6MiB live, 166.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 870×	`lower-*.f32`
2 852×	`lower-*.f64`
1 576×	`lower-fma.f32`
1 566×	`lower-fma.f64`
1 100×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	421
0	82	425
1	153	417
2	377	417
3	1070	417
4	2511	417
5	3261	417
6	3429	417
7	3558	417
8	3658	417
9	3660	417
10	3818	417
11	3824	417
12	3824	417
13	3824	417
14	3824	417
15	3824	417
0	3824	395

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize197.0ms (1.4%)

Memory

20.7MiB live, 375.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.8%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	93.1%	(/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))
✓	accuracy	92.1%	(.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om)))
✓	accuracy	98.6%	(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	98.4%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	93.7%	(/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (*.f64 Om Om))
✓	accuracy	91.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(*.f64 l (sin.f64 kx))
✓	accuracy	99.9%	(/.f64 Om (*.f64 l (sin.f64 kx)))
✓	accuracy	98.5%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om)
✓	accuracy	98.7%	(.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	98.4%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	91.2%	(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)))

Samples

64.0ms	150×	0	invalid
37.0ms	99×	0	valid
24.0ms	7×	1	valid

Compiler

Compiled 458 to 50 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-sqrt: 24.0ms (27.4% of total)

ival-mult: 20.0ms (22.8% of total)

ival-div: 16.0ms (18.2% of total)

ival-cos: 10.0ms (11.4% of total)

ival-add: 8.0ms (9.1% of total)

ival-sin: 4.0ms (4.6% of total)

ival-pow2: 4.0ms (4.6% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series84.0ms (0.6%)

Memory

6.3MiB live, 159.7MiB allocated

Counts

24 → 684

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
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#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (/ (pow kx 2) (pow Om 2))>
#<alt (* (pow kx 2) (+ (* -1/3 (/ (pow kx 2) (pow Om 2))) (/ 1 (pow Om 2))))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (- (* 2/45 (/ (pow kx 2) (pow Om 2))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))>
#<alt (* (pow kx 2) (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/315 (/ (pow kx 2) (pow Om 2))) (* 2/45 (/ 1 (pow Om 2))))) (* 1/3 (/ 1 (pow Om 2))))) (/ 1 (pow Om 2))))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt (/ (pow (sin kx) 2) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))))))>
#<alt (+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* (pow ky 2) l)>
#<alt (* (pow ky 2) (+ l (* -1/3 (* (pow ky 2) l))))>
#<alt (* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* 2/45 (* (pow ky 2) l))))))>
#<alt (* (pow ky 2) (+ l (* (pow ky 2) (+ (* -1/3 l) (* (pow ky 2) (+ (* -1/315 (* (pow ky 2) l)) (* 2/45 l)))))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (* l (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* (pow ky 2) l) Om)>
#<alt (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om)))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om)))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))))))>
#<alt (+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (* 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 (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 (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>

Calls

171 calls:

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

rewrite351.0ms (2.6%)

Memory

17.7MiB live, 486.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 694×	`lower-/.f32`
4 680×	`lower-/.f64`
4 486×	`lower-*.f32`
4 468×	`lower-*.f64`
3 022×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	303
0	82	307
1	290	295
2	2173	273
0	8851	273

Stop Event

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

Counts

24 → 664

Calls

Call 1

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

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

simplify679.0ms (5%)

Memory

-175.3MiB live, 751.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 614×	`lower-fma.f64`
7 614×	`lower-fma.f32`
7 120×	`lower-*.f64`
7 120×	`lower-*.f32`
5 686×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1096	16421
1	3550	16012
0	8243	14848

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 683

Calls

Call 1

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

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

eval192.0ms (1.4%)

Memory: 13.1MiB live, 399.7MiB allocated
Compiler: Compiled 45 473 to 4 261 computations (90.6% saved)

prune244.0ms (1.8%)

Memory

3.9MiB live, 327.2MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 414	5	1 419
Fresh	2	5	7
Picked	3	2	5
Done	0	1	1
Total	1 419	13	1 432

Accuracy

100.0%

Counts

1 432 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
	50.4%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
▶	50.2%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
▶	42.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
▶	41.7%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
▶	48.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
✓	31.6%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	81.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
▶	95.0%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	82.1%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	70.8%	(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 (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
✓	53.7%	(sqrt.f64 #s(literal 1/2 binary64))
✓	64.4%	#s(literal 1 binary64)

Compiler

Compiled 535 to 394 computations (26.4% saved)

simplify284.0ms (2.1%)

Memory

-21.1MiB live, 175.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 184×	`lower-*.f32`
3 164×	`lower-*.f64`
2 508×	`lower-fma.f32`
2 494×	`lower-fma.f64`
1 124×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	460
0	94	460
1	165	460
2	347	460
3	959	460
4	2120	460
5	2708	460
6	3754	460
7	4356	460
8	4638	460
9	4881	460
10	4997	460
11	5302	460
12	5314	460
13	5373	460
14	5441	460
15	5462	460
16	5485	460
17	5524	460
18	5543	460
19	5545	460
20	5545	460
21	5668	460
0	5668	448

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize323.0ms (2.4%)

Memory

21.6MiB live, 332.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64))))
✓	accuracy	93.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))))
✓	accuracy	87.1%	(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	accuracy	85.5%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))
✓	accuracy	93.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))))
✓	accuracy	87.2%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
✓	accuracy	85.5%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal -2 binary64) ky))
✓	accuracy	95.8%	(.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))
✓	accuracy	87.2%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))
✓	accuracy	79.1%	(/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om))
✓	accuracy	100.0%	(*.f64 l ky)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
✓	accuracy	94.0%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
✓	accuracy	92.8%	(/.f64 Om (*.f64 l ky))
✓	accuracy	99.9%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64))))
✓	accuracy	96.7%	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om))
✓	accuracy	89.7%	(sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))
✓	accuracy	87.2%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

96.0ms	207×	0	valid
79.0ms	23×	2	valid
22.0ms	26×	1	valid

Compiler

Compiled 495 to 58 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-add: 54.0ms (34% of total)

ival-cos: 34.0ms (21.4% of total)

ival-mult: 33.0ms (20.8% of total)

ival-div: 18.0ms (11.3% of total)

ival-sqrt: 14.0ms (8.8% of total)

adjust: 6.0ms (3.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series187.0ms (1.4%)

Memory

-12.1MiB live, 157.7MiB allocated

Counts

28 → 792

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt (/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))>
#<alt (sqrt 1/2)>
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#<alt (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))>
#<alt (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))>
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#<alt (* -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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#<alt (+ (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)))>
#<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 (* ky l)>
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#<alt 1>
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#<alt (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))>
#<alt (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))>
#<alt 1>
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#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/6 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 1/6 (/ (pow l 2) (pow Om 2))))))))>
#<alt (+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
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#<alt (/ (+ (* -1/2 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))>
#<alt 1>
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#<alt 1>
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#<alt (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))>
#<alt (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))>
#<alt (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))>
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#<alt (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))>
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#<alt (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 2/45 (/ (pow l 2) (pow Om 2))))))) (/ (pow l 2) (pow Om 2))))>
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#<alt (+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))>
#<alt (* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))>
#<alt (* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))>
#<alt (/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)>
#<alt (/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))>
#<alt (+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))>
#<alt (/ (* (pow ky 2) l) Om)>
#<alt (* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om)))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om)))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -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)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)>
#<alt (/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 ky))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow ky 2)))>
#<alt (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))>
#<alt (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (cos (* -2 ky))>
#<alt (/ 1 ky)>
#<alt (/ (+ 1 (* 1/6 (pow ky 2))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))>
#<alt (/ 1 (pow ky 2))>
#<alt (/ (+ 1 (* 1/3 (pow ky 2))) (pow ky 2))>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/3 (* 1/15 (pow ky 2))))) (pow ky 2))>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))) (pow ky 2))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (pow kx 2)))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (pow ky 2)))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* -1/2 (* (pow ky 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* 1/2 (* (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))>
#<alt (+ 1 (cos (* -2 ky)))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ 1 (cos (* -2 kx)))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))>
#<alt (+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>
#<alt (+ (cos (* -2 kx)) (cos (* -2 ky)))>

Calls

198 calls:

Time	Variable		Point	Expression
70.0ms	Om	@	0	(sqrt (+ (* 1/4 (/ Om (* l ky))) 1/2))
16.0ms	l	@	inf	(sqrt (+ (* (/ (* 1/4 Om) l) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))
12.0ms	ky	@	0	(/ 1 (+ (* -1/2 (cos (* -2 ky))) 1/2))
7.0ms	l	@	0	(+ (* 1/4 (/ Om (* l ky))) 1/2)
4.0ms	kx	@	0	(sqrt (+ (* (/ (* 1/4 Om) l) (sqrt (/ 1 (+ (* -1/2 (+ (cos (* kx -2)) (cos (* ky -2)))) 1)))) 1/2))

rewrite484.0ms (3.6%)

Memory

19.4MiB live, 366.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 326×	`lower-*.f32`
4 306×	`lower-*.f64`
4 104×	`lower-/.f32`
4 088×	`lower-/.f64`
2 606×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	349
0	94	349
1	350	343
2	2442	343
0	8488	343

Stop Event

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

Counts

28 → 745

Calls

Call 1

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

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

simplify516.0ms (3.8%)

Memory

12.1MiB live, 724.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 208×	`lower-*.f64`
8 208×	`lower-*.f32`
6 612×	`lower-fma.f64`
6 612×	`lower-fma.f32`
4 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1444	19770
1	4495	19605
0	8018	18143

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

Calls

Call 1

Inputs
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* (pow l 2) (+ (* 4 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (/ 1 (pow l 2))))
(* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
(/ (+ (* 4 (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky)))))) (pow Om 2)) (pow Om 2))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* 4 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -4/3 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))) (* 4 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 4 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 8/45 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* 1/2 (* (pow l 2) (- (* -1/4 (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6))))) (* -1/2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (* 1/4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (+ (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* (pow l 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* (pow Om 3) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ (pow Om 3) (pow (sqrt 1/2) 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) (* l (sqrt 1/2)))) (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) l)) (* 1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* Om (- (* 1/2 (/ (* Om (- (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/512 (* (/ 1 (* (pow l 3) (pow (sqrt 1/2) 4))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* -1/2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (- (* -1/4 (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))) (* 1/4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))))))) (pow Om 6))))))
1
(+ 1 (* -1/2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4)))))))))
(+ 1 (* (pow ky 2) (+ (* -1/2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -1/4 (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4))))))) (* -1/2 (/ (* (pow l 2) (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 1/4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
(sqrt (+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ 1/2 (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 5))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
1/2
(+ 1/2 (* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(+ 1/2 (* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1
(+ 1 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
(+ 1/2 (* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* -1/4 (* (pow l 2) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4)))))))))
(+ 1/2 (* (pow l 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -1/4 (* (pow l 2) (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))) (pow Om 2))) (* 64 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3) (pow Om 6)))))) (* -1/4 (+ (* -16 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))))))))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l)
(/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l)
(* -1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* -1 (/ (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (* Om (pow l 4))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/2 (* (/ (+ (* 1/256 (/ (pow Om 8) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 4))) (* 1/8 (/ (* (pow Om 2) (+ (* -1/64 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))) (* 1/256 (/ (pow Om 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* Om (pow l 6))) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (+ (* -1/32 (* (/ (pow Om 3) (pow l 2)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) l))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* Om (+ (* -1/32 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 3/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/32 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* (pow Om 2) (+ (* -5/4096 (* (/ (pow Om 2) (pow l 7)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 7))))) (* 3/512 (* (/ 1 (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4)))))
(+ 1/2 (+ (* -1 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (+ (* -1/4 (/ (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)))) (pow Om 4))) (* -1/4 (/ (+ (* 2 (* (pow l 2) (* (+ 1/2 (* -1/2 (cos (* -2 ky)))) (+ (* -16 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))) (* 4 (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2))))))) (* 64 (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))) (pow Om 6))))))
1/2
(+ 1/2 (* -1 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* -1/4 (* (pow ky 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(+ 1/2 (* (pow ky 2) (+ (* -1 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* -1/4 (* (pow ky 2) (+ (* -4 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (* -4/3 (/ (pow l 2) (pow Om 2))))) (pow Om 2))) (+ (* 8/45 (/ (pow l 2) (pow Om 2))) (+ (* 2 (/ (* (pow l 2) (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (pow Om 2))) (* 16/3 (/ (pow l 4) (pow Om 4)))))))) (* -1/4 (+ (* -16 (/ (pow l 4) (pow Om 4))) (+ (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(* 1/2 (sqrt (/ 1 (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(+ (sqrt 1/2) (* Om (+ (* Om (- (* 1/1024 (/ Om (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/128 (/ 1 (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))))) (* 1/8 (/ 1 (* ky (* l (sqrt 1/2))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(* Om (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3)))))))
(* Om (+ (* -1/4 (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5)))) (+ (* 1/4 (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7)))) (+ (* 1/2 (sqrt (/ 1 (* Om (* ky l))))) (* 1/2 (sqrt (/ (* ky l) (pow Om 3))))))))
(* -1 (* (sqrt (/ Om (* ky l))) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* Om (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (sqrt (/ (* (pow ky 3) (pow l 3)) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (* (pow ky 5) (pow l 5)) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ (* ky l) (pow Om 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* Om (* ky l)))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* 1/2 (sqrt (/ (* ky (pow l 3)) Om)))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (* (pow ky 3) l) (pow Om 3)))) (* 1/2 (sqrt (/ ky (* Om l))))))) l)
(/ (+ (* 1/2 (sqrt (/ (* Om l) ky))) (* (pow l 2) (+ (* 1/2 (sqrt (/ ky (* Om l)))) (* (pow l 2) (+ (* -1/4 (sqrt (/ (pow ky 3) (* (pow Om 3) (pow l 3))))) (* 1/4 (sqrt (/ (pow ky 5) (* (pow Om 5) l))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* ky (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* (pow ky 2) (* l (pow (sqrt 1/2) 3)))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* l (pow (sqrt 1/2) 5)))))) l)) (* -1/8 (/ Om (* ky (sqrt 1/2))))) l)))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (* ky (pow l 3)) (pow Om 3)))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) (pow ky 3))))) (* 1/4 (sqrt (/ (pow l 5) (* (pow Om 5) ky))))))))) ky)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow ky 2) (* (pow l 2) (pow (sqrt 1/2) 3))))) (+ (* 1/1024 (/ (pow Om 3) (* (pow ky 3) (* (pow l 3) (pow (sqrt 1/2) 5))))) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ Om (* ky (* l (sqrt 1/2))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ Om (* l (sqrt 1/2)))) (* 1/128 (/ (pow Om 2) (* ky (* (pow l 2) (pow (sqrt 1/2) 3)))))) ky)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (pow (sqrt 1/2) 3)))) (* 1/1024 (/ (pow Om 3) (* ky (* (pow l 3) (pow (sqrt 1/2) 5)))))) ky)) (* -1/8 (/ Om (* l (sqrt 1/2))))) ky)))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* Om (+ (* 1/2 (/ 1 Om)) (* 1/4 (/ 1 (* ky l)))))
(* 1/4 (/ Om (* ky l)))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (/ 1 (* ky l))) (* 1/2 (/ 1 Om))))
(* 1/4 (/ Om (* ky l)))
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
(/ (+ (* 1/4 (/ Om ky)) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
(+ 1/2 (* 1/4 (/ Om (* ky l))))
1/2
(+ 1/2 (* 1/4 (/ Om (* ky l))))
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(+ 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))
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(/ Om (* ky l))
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(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(/ Om (* ky l))
(* ky l)
(* ky l)
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1
(+ 1 (* -1/2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
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1
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1
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1
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(* Om (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) 1/4) (sqrt (/ (pow l 3) (pow Om 5))))) (+ (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)) 1/4) (sqrt (/ (pow l 5) (pow Om 7))))) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))))
(* -1 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
(* -1 (* Om (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4))))))))
(* -1 (* Om (+ (* -1/32 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) 1/4) (* (sqrt (/ (pow l 3) (pow Om 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3))))) (+ (* 1/128 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)) 1/4) (* (sqrt (/ (pow l 5) (pow Om 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5))))) (+ (* 1/4 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ l (pow Om 3))) (/ (sqrt -1) (sqrt -1/4))))) (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (* (sqrt (/ 1 (* Om l))) (* (sqrt -1) (sqrt -1/4)))))))))
(* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (/ Om l))))
(/ (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (/ (pow l 3) Om)))) (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (* Om l))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) 1/4) (sqrt (/ l (pow Om 3))))) (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (/ 1 (* Om l)))))))) l)
(/ (+ (* 1/2 (* (pow (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (* Om l)))) (* (pow l 2) (+ (* 1/2 (* (pow (* 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))) 1/4) (sqrt (/ 1 (* Om l))))) (* (pow l 2) (+ (* -1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) 1/4) (sqrt (/ 1 (* (pow Om 3) (pow l 3)))))) (* 1/4 (* (pow (* 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)) 1/4) (sqrt (/ 1 (* (pow Om 5) l)))))))))) l)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow Om 2) (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (+ (* 1/1024 (* (/ (pow Om 3) (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/128 (/ (pow Om 2) (* l (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow Om 2) (* (pow (sqrt 1/2) 3) (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* 1/1024 (* (/ (pow Om 3) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)))))) l)) (* -1/8 (* (/ Om (sqrt 1/2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))) l)))
(* 1/2 (sqrt (/ Om (* ky l))))
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ (* (pow ky 3) l) Om)))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/24 (sqrt (/ (* Om ky) l))) (* 1/2 (sqrt (/ l (* Om ky))))))) ky)
(/ (+ (* 1/2 (sqrt (/ (* Om ky) l))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ l (* Om ky)))) (* ky (+ (* -1/4 (sqrt (/ (pow l 3) (* (pow Om 3) ky)))) (* 1/24 (sqrt (/ Om (* ky l))))))))) ky)
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(sqrt (+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ 1 Om))))
(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ 1 Om))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ 1 Om)))))
(* -1 (* Om (- (* -1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 (/ 1 Om)))))
(* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))
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(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 l)) l)
(/ (+ (* 1/4 (* Om (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 1/2 l)) l)
1/2
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
1/2
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(/ (+ (* 1/4 (/ Om l)) (* ky (+ 1/2 (* ky (+ (* 7/1440 (/ (* Om (pow ky 2)) l)) (* 1/24 (/ Om l))))))) ky)
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
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(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 (/ Om l))
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(* 1/4 Om)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (* (/ Om (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ (sqrt 1/2) (* Om (+ (* -1/128 (/ Om (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))
(+ (sqrt 1/2) (* Om (+ (* 1/8 (* (/ 1 (* l (sqrt 1/2))) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* Om (- (* 1/1024 (* (/ Om (* (pow l 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))) 3))))) (* 1/128 (/ 1 (* (pow l 2) (* (pow (sqrt 1/2) 3) (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))))))
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(* -1 (* (pow (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))) 1/4) (* (sqrt (/ Om l)) (* (sqrt -1) (sqrt -1/4)))))
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(sqrt 1/2)
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(sqrt 1/2)
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1/2
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(* Om (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))) (* 1/2 (/ 1 Om))))
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1/2
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1/2
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(+ 1/2 (+ (* -1/8 (* (/ (* Om (pow ky 2)) l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ 1/2 (+ (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* (pow ky 2) (+ (* -1/8 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* 1/8 (* (/ (* Om (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))
(+ 1/2 (+ (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))) (* (pow ky 2) (+ (* -1/8 (* (/ Om l) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (* (pow ky 2) (+ (* -1/8 (* (/ (* Om (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4))))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/8 (* (/ (* Om (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) l) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(+ 1/2 (* 1/4 (* (/ Om l) (sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky))))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (* (pow l 2) (+ (* -2 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))))))
(+ 1 (* (pow l 2) (+ (* 2 (/ (+ 1/2 (* -1/2 (cos (* -2 ky)))) (pow Om 2))) (* (pow l 2) (+ (* -2 (/ (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2) (pow Om 4))) (* 4 (/ (* (pow l 2) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(* -1 (* l (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))))))
(* -1 (* l (+ (* -1/64 (* (/ (pow Om 3) (pow l 4)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (+ (* 1/512 (* (/ (pow Om 5) (pow l 6)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5))))) (+ (* 1/4 (* (/ Om (pow l 2)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* (/ 1 Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))))
(* 2 (* (/ l Om) (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))
(/ (+ (* 1/4 (* (/ (pow Om 2) l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* -1/64 (* (/ (pow Om 2) (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))))))) Om)
(/ (+ (* 2 (* l (sqrt (+ 1/2 (* -1/2 (cos (* -2 ky))))))) (* (pow Om 2) (+ (* 1/4 (* (/ 1 l) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))))) (* (pow Om 2) (+ (* -1/64 (* (/ 1 (pow l 3)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3))))) (* 1/512 (* (/ (pow Om 2) (pow l 5)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 5)))))))))) Om)
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(+ 1 (+ (* -2 (/ (* (pow l 4) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 2)) (pow Om 4))) (+ (* 2 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2))) (* 4 (/ (* (pow l 6) (pow (+ 1/2 (* -1/2 (cos (* -2 ky)))) 3)) (pow Om 6))))))
1
(+ 1 (* 2 (/ (* (pow ky 2) (pow l 2)) (pow Om 2))))
(+ 1 (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4)))))) (* 2 (/ (pow l 2) (pow Om 2))))))
(+ 1 (* (pow ky 2) (+ (* 2 (/ (pow l 2) (pow Om 2))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (- (* 8/45 (/ (pow l 2) (pow Om 2))) (* 2 (/ (* (pow l 2) (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))) (pow Om 2)))))) (* 1/2 (- (* -4/3 (/ (pow l 2) (pow Om 2))) (* 4 (/ (pow l 4) (pow Om 4))))))))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(sqrt (+ 1 (* 4 (/ (* (pow l 2) (+ 1/2 (* -1/2 (cos (* -2 ky))))) (pow Om 2)))))
(/ (* (pow ky 2) l) Om)
(* (pow ky 2) (+ (* -1/3 (/ (* (pow ky 2) l) Om)) (/ l Om)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* 2/45 (/ (* (pow ky 2) l) Om)))) (/ l Om)))
(* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/3 (/ l Om)) (* (pow ky 2) (+ (* -1/315 (/ (* (pow ky 2) l) Om)) (* 2/45 (/ l Om)))))) (/ l Om)))
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(/ (* l (+ 1/2 (* -1/2 (cos (* -2 ky))))) Om)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
(+ 1/2 (* -1/2 (cos (* -2 ky))))
1
(+ 1 (* -2 (pow ky 2)))
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(cos (* -2 ky))
(/ 1 ky)
(/ (+ 1 (* 1/6 (pow ky 2))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky))))))
(/ 1 (pow ky 2))
(/ (+ 1 (* 1/3 (pow ky 2))) (pow ky 2))
(/ (+ 1 (* (pow ky 2) (+ 1/3 (* 1/15 (pow ky 2))))) (pow ky 2))
(/ (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))) (pow ky 2))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (pow kx 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (pow ky 2)))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1 (+ (* -1/2 (+ 1 (cos (* -2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 ky)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 ky))))) 3)))))))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* -1/2 (* (pow ky 2) (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* 1/2 (* (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))))))
(+ (sqrt (/ 1 (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))) (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))))) (+ (* 2/45 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3))) (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 4)))))) (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))))) (* 1/2 (* (sqrt (+ 1 (* -1/2 (+ 1 (cos (* -2 kx)))))) (+ (* 1/3 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 2))) (* 3/4 (/ 1 (pow (+ 1 (* -1/2 (+ 1 (cos (* -2 kx))))) 3)))))))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(sqrt (/ 1 (+ 1 (* -1/2 (+ (cos (* -2 kx)) (cos (* -2 ky)))))))
(+ 1 (cos (* -2 ky)))
(+ 1 (+ (cos (* -2 ky)) (* -2 (pow kx 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))
(+ 1 (+ (cos (* -2 ky)) (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ 1 (cos (* -2 kx)))
(+ 1 (+ (cos (* -2 kx)) (* -2 (pow ky 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))
(+ 1 (+ (cos (* -2 kx)) (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))
(+ (cos (* -2 kx)) (cos (* -2 ky)))

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

eval245.0ms (1.8%)

Memory: 22.6MiB live, 566.3MiB allocated
Compiler: Compiled 52 324 to 4 961 computations (90.5% saved)

prune204.0ms (1.5%)

Memory

-12.0MiB live, 464.7MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 653	9	1 662
Fresh	1	4	5
Picked	3	2	5
Done	0	3	3
Total	1 657	18	1 675

Accuracy

100.0%

Counts

1 675 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
	50.4%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
✓	50.2%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
	56.7%	(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
	47.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
	20.8%	(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
✓	48.9%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
✓	31.6%	(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
	40.6%	(sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
	42.3%	(sqrt.f64 (/.f64 (fma.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l #s(literal 1/2 binary64))) l))
	42.3%	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	41.8%	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
	81.6%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	70.8%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	82.1%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	48.8%	(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky)))))
✓	53.7%	(sqrt.f64 #s(literal 1/2 binary64))
✓	64.4%	#s(literal 1 binary64)

Compiler

Compiled 1 213 to 539 computations (55.6% saved)

regimes247.0ms (1.8%)

Memory

-29.0MiB live, 421.4MiB allocated

Counts

36 → 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)))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.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 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l #s(literal 1/2 binary64))) l))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 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 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 l #s(literal 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)) (.f64 ky ky)))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 2 binary64))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))

Outputs

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

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

Calls

19 calls:

57.0ms	l
16.0ms	(sin.f64 kx)
14.0ms	kx
11.0ms	(sin.f64 ky)
11.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.0%	1	`l`
98.0%	1	`Om`
98.0%	1	`kx`
98.0%	1	`ky`
100.0%	2	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
100.0%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
100.0%	2	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
100.0%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
100.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
100.0%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
100.0%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.0%	1	`(*.f64 #s(literal 2 binary64) l)`
98.0%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
98.0%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
98.0%	1	`(sin.f64 kx)`
98.0%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
98.0%	1	`(sin.f64 ky)`

Compiler

Compiled 275 to 198 computations (28% saved)

regimes85.0ms (0.6%)

Memory

34.9MiB live, 152.9MiB allocated

Counts

35 → 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)))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.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 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l #s(literal 1/2 binary64))) l))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 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 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 l #s(literal 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)) (.f64 ky ky)))))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 2 binary64))))))

Outputs

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

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

Calls

9 calls:

11.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
10.0ms	(+.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))))))))
10.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
9.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
9.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.7%	3	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
99.7%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
99.7%	3	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
99.7%	3	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
99.7%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
99.0%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
99.0%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`

Compiler

Compiled 207 to 142 computations (31.4% saved)

regimes125.0ms (0.9%)

Memory

-17.8MiB live, 257.1MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l 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 ky)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.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 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l #s(literal 1/2 binary64))) l))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 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 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 Om #s(literal 1/4 binary64)) l) (/.f64 (.f64 Om #s(literal 1/4 binary64)) l)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))))

Outputs

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`l`
95.6%	1	`Om`
95.6%	1	`kx`
98.2%	2	`ky`
97.3%	2	`(*.f64 #s(literal 2 binary64) l)`
98.2%	2	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
95.6%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
95.6%	1	`(sin.f64 kx)`
98.2%	2	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
95.6%	1	`(sin.f64 ky)`
99.4%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 136 to 103 computations (24.3% saved)

regimes43.0ms (0.3%)

Memory

6.1MiB live, 86.0MiB allocated

Counts

30 → 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)))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) Om) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))) #s(literal 1 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 l l) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 Om Om))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 ky #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 l l) (*.f64 Om Om))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 Om Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.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 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 Om Om)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (.f64 Om #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) ky)) (cos.f64 (.f64 #s(literal -2 binary64) kx))) #s(literal 1 binary64)))) (.f64 l #s(literal 1/2 binary64))) l))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (.f64 kx #s(literal -2 binary64))) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

5 calls:

9.0ms	(+.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	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
8.0ms	(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
8.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
8.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
98.3%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
98.3%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.8%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 88 to 62 computations (29.5% saved)

regimes16.0ms (0.1%)

Memory

-7.1MiB live, 32.1MiB allocated

Counts

17 → 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)))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 Om #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 l (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 l l)) (.f64 Om Om)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

3 calls:

5.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.7%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes12.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

12 → 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)))
(sqrt.f64 (.f64 Om (+.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 #s(literal 1/4 binary64) (.f64 l ky)))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) Om) l) (sqrt.f64 (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (/.f64 (.f64 l (*.f64 ky ky)) Om) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (/.f64 (.f64 l (.f64 ky ky)) Om) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (.f64 l ky)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Om (.f64 l ky)) (/.f64 Om (.f64 l ky))) #s(literal -1/4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 l l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) ky)) #s(literal 1/2 binary64))) (.f64 Om Om)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (.f64 Om Om)) (.f64 #s(literal -1/2 binary64) (.f64 l l)) #s(literal 1 binary64))

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes16.0ms (0.1%)

Memory

-6.8MiB live, 32.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
2.0ms	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
2.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
2.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
2.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
69.7%	3	`ky`
64.4%	1	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
71.0%	4	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
97.1%	2	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
97.1%	2	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
98.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
98.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 114 to 83 computations (27.2% saved)

regimes41.0ms (0.3%)

Memory

-33.1MiB live, 59.5MiB 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

18 calls:

17.0ms	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
2.0ms	(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
1.0ms	(sin.f64 kx)
1.0ms	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
1.0ms	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
64.4%	1	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
64.4%	1	`ky`
64.4%	1	`(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))`
64.4%	1	`(/.f64 (*.f64 #s(literal 2 binary64) l) Om)`
64.4%	1	`Om`
64.4%	1	`kx`
64.4%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
64.4%	1	`(sin.f64 kx)`
64.4%	1	`(sin.f64 ky)`
64.4%	1	`l`
64.4%	1	`(*.f64 #s(literal 2 binary64) l)`
64.4%	1	`(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))`
64.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))`
64.4%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))`
64.4%	1	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))`
64.4%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))`
64.4%	1	`(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
64.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`

Compiler

Compiled 262 to 188 computations (28.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.138849517372461e+139	4.5286779605637694e+140

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0019157947434824394	2269760102.934728

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2068922246510085.8	3.18198026558051e+30

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2068922246510085.8	3.18198026558051e+30

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0019157947434824394	2269760102.934728

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0019157947434824394	2269760102.934728

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch20.0ms (0.1%)

Memory

5.9MiB live, 44.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0019157947434824394	2269760102.934728

Samples

12.0ms

160×

valid

Compiler

Compiled 166 to 160 computations (3.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30.1% of total)

ival-sqrt: 2.0ms (30.1% of total)

ival-add: 1.0ms (15.1% of total)

ival-mult: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	345
1	114	345

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 l #s(literal 2 binary64))) Om))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4000000000000000 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 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4000000000000000 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4278419646001971/1125899906842624 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 l #s(literal 2 binary64))) Om))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (/.f64 l Om) #s(literal 4 binary64)) (.f64 (/.f64 l Om) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 #s(literal 2 binary64) l)) Om))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4000000000000000 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 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4000000000000000 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 l Om)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4000000000000000 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 l #s(literal 4 binary64)) Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 l Om) (.f64 (/.f64 l Om) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 4278419646001971/1125899906842624 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness1.1s (8.1%)

Memory

10.2MiB live, 1 035.9MiB allocated

Rules

10 180×	`lower-fma.f64`
10 180×	`lower-fma.f32`
9 134×	`lower-fma.f64`
9 134×	`lower-fma.f32`
8 272×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1809	31333
1	6134	31125
0	8073	28938
0	48	349
0	94	349
1	350	343
2	2442	343
0	8488	343
0	43	303
0	82	307
1	290	295
2	2173	273
0	8851	273
0	474	7346
1	1554	7187
2	6521	6855
0	8034	6493
0	1096	16421
1	3550	16012
0	8243	14848
0	21	94
0	37	94
1	129	92
2	924	92
0	8513	89

Stop Event

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

Compiler

Compiled 735 to 367 computations (50.1% saved)

preprocess144.0ms (1.1%)

Memory: -25.9MiB live, 287.2MiB allocated
Compiler: Compiled 1 264 to 524 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze188.0ms (1.4%)

sample2.2s (16.1%)

preprocess241.0ms (1.8%)

explain475.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify207.0ms (1.5%)

localize83.0ms (0.6%)

series59.0ms (0.4%)

rewrite464.0ms (3.4%)

simplify402.0ms (3%)

eval198.0ms (1.5%)

prune141.0ms (1%)

simplify576.0ms (4.2%)

localize461.0ms (3.4%)

series338.0ms (2.5%)

rewrite493.0ms (3.6%)

simplify575.0ms (4.2%)

eval313.0ms (2.3%)

prune197.0ms (1.4%)

simplify134.0ms (1%)

localize197.0ms (1.4%)

series84.0ms (0.6%)

rewrite351.0ms (2.6%)

simplify679.0ms (5%)

eval192.0ms (1.4%)

prune244.0ms (1.8%)

simplify284.0ms (2.1%)

localize323.0ms (2.4%)

series187.0ms (1.4%)

rewrite484.0ms (3.6%)

simplify516.0ms (3.8%)

eval245.0ms (1.8%)

prune204.0ms (1.5%)

regimes247.0ms (1.8%)

regimes85.0ms (0.6%)

regimes125.0ms (0.9%)

regimes43.0ms (0.3%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes16.0ms (0.1%)

regimes41.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.1s (8.1%)

preprocess144.0ms (1.1%)

end0.0ms (0%)

Profiling