Metrics for Toniolo and Linder, Equation (3b), real

analyze233.0ms (1.9%)

Memory

-5.3MiB live, 227.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
53.1%	53%	46.8%	0.1%	0%	0%	0%	8
60.9%	60.8%	39%	0.1%	0%	0%	0%	9
60.9%	60.8%	39%	0.1%	0%	0%	0%	10
64.8%	64.7%	35.1%	0.1%	0%	0%	0%	11
68.4%	68.3%	31.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample2.2s (18.7%)

Memory

-91.0MiB live, 2 599.7MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 689.0ms (60.7% of total)

ival-pow2: 161.0ms (14.2% of total)

ival-mult: 103.0ms (9.1% of total)

ival-sqrt: 82.0ms (7.2% of total)

ival-div: 54.0ms (4.8% of total)

ival-add: 36.0ms (3.2% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess85.0ms (0.7%)

Memory

4.5MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Rules

390×	`unsub-neg`
362×	`times-frac`
340×	`associate-l`
334×	`associate-r`
280×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	153
1	101	147
2	211	147
3	383	147
4	831	147
5	1949	147
6	2504	147
7	2781	147
8	2893	147
9	2943	147
10	2958	147
11	2958	147
0	13	16
0	22	16
1	28	16
2	32	16
3	33	16
0	33	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Symmetry

(abs kx)

(negabs th)

(negabs ky)

explain577.0ms (4.8%)

Memory

21.2MiB live, 339.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	1	(1.0917390348132796e-288 1.0186881111074387e-159 1.3181894326359873e-101)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	0	-	`(sin.f64 kx)`
0	-	0	-	`(sin.f64 th)`
0	-	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
0	-	0	-	`th`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
0	-	0	-	`(sin.f64 ky)`
0	-	0	-	`ky`
0	-	0	-	`kx`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	uflow-rescue	25	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	64
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	79
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	25

Confusion

	Predicted +	Predicted -
+	25	1
-	0	230

Precision

1.0

Recall

0.9615384615384616

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	1
-	0	0	230

Precision?

1.0

Recall?

0.9615384615384616

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

424.0ms

512×

valid

Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-sin: 336.0ms (92.7% of total)

ival-pow2: 9.0ms (2.5% of total)

ival-div: 8.0ms (2.2% of total)

ival-mult: 3.0ms (0.8% of total)

ival-sqrt: 3.0ms (0.8% of total)

ival-add: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify15.0ms (0.1%)

Memory

-29.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	cost-diff	7296	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Rules

16×	`lower-*.f32`
14×	`lower-*.f64`
6×	`lift-sin.f64`
6×	`*-commutative`
6×	`lower-sin.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
0	22	66
1	28	66
2	32	66
3	33	66
0	33	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(+.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
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

localize58.0ms (0.5%)

Memory

5.2MiB live, 165.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	90.5%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Samples

41.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sin: 17.0ms (59.3% of total)

ival-pow2: 5.0ms (17.5% of total)

ival-div: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

ival-sqrt: 2.0ms (7% of total)

ival-add: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

13.9MiB live, 52.1MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (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)>
#<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)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	ky	@	-inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
3.0ms	ky	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms	th	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
1.0ms	ky	@	inf	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))

rewrite293.0ms (2.4%)

Memory

3.8MiB live, 603.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`lower-fma.f64`
4 346×	`lower-fma.f32`
3 626×	`lower-*.f32`
3 624×	`lower-*.f64`
2 248×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	22	34
1	62	34
2	338	34
3	2902	34
0	8284	24

Stop Event

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

Counts

4 → 217

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64) (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.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 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.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 (/.f64 (-.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)))))) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.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 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #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 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.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))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (sqrt.f64 (.f64 (-.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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 18 binary64)) (pow.f64 (sin.f64 ky) #s(literal 18 binary64)))) (sqrt.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64))) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (.f64 (-.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 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.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 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 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 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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (-.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)))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 18 binary64)) (pow.f64 (sin.f64 ky) #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64))) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 6 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 4 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 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 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 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))
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(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(neg.f64 (.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(neg.f64 (.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(neg.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(neg.f64 (/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (neg.f64 (sin.f64 ky))))
(/.f64 (neg.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (neg.f64 (sin.f64 ky))))
(/.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (.f64 #s(literal -1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (neg.f64 (sin.f64 ky))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (neg.f64 (sin.f64 ky)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (neg.f64 (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 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 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 th)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 th)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))

simplify396.0ms (3.3%)

Memory

-27.0MiB live, 893.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 882×	`lower-fma.f64`
11 882×	`lower-fma.f32`
6 918×	`lower-*.f64`
6 918×	`lower-*.f32`
5 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1598
1	741	1550
2	2744	1481
3	7651	1481
0	8035	1353

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(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)
(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)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))

Outputs
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 kx (.f64 kx (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/45 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (.f64 ky ky) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/45 binary64)) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 (fma.f64 kx (*.f64 kx #s(literal -1/3 binary64)) #s(literal 1 binary64)) kx) kx)
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 kx (.f64 kx (fma.f64 kx (.f64 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 kx (.f64 kx (fma.f64 kx (.f64 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))
(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 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (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))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 ky (.f64 ky (fma.f64 ky (.f64 ky (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) #s(literal -1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/12 binary64)))))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (sin.f64 th) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))

simplify55.0ms (0.5%)

Memory

7.2MiB live, 124.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	596	5856
1	597	5856
0	597	5856

Stop Event

1×	saturated
1×	saturated

Counts

217 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64) (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.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 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.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 (/.f64 (-.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)))))) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
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(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (neg.f64 (sin.f64 ky)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (neg.f64 (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 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 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 th)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 th)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))

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

eval57.0ms (0.5%)

Memory: -6.3MiB live, 41.9MiB allocated
Compiler: Compiled 3 633 to 253 computations (93% saved)

prune23.0ms (0.2%)

Memory

20.3MiB live, 59.5MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	150	18	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	19	169

Accuracy

99.9%

Counts

169 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.7%	(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
	32.6%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	36.0%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	90.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	45.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
	47.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (sin.f64 th))
	39.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 (.f64 (fma.f64 kx (.f64 kx #s(literal -1/3 binary64)) #s(literal 1 binary64)) kx) kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	49.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 (.f64 kx kx) (fma.f64 kx (.f64 kx (fma.f64 kx (*.f64 kx #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	39.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx (.f64 kx (fma.f64 kx (.f64 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.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	49.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	39.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	86.4%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	48.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	51.1%	(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
▶	51.2%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	28.1%	(.f64 ky (fma.f64 (.f64 ky ky) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
	24.7%	(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
▶	27.9%	(sin.f64 th)

Compiler

Compiled 909 to 571 computations (37.2% saved)

simplify39.0ms (0.3%)

Memory

-15.6MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
✓	cost-diff	0	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
✓	cost-diff	128	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	cost-diff	128	(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	cost-diff	1024	(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Rules

880×	`lower-*.f32`
858×	`lower-*.f64`
544×	`associate-r`
448×	`lower-fma.f32`
444×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	322
0	70	322
1	106	316
2	185	316
3	401	316
4	837	316
5	953	316
6	964	316
7	969	316
8	969	315
9	1123	315
10	1123	315
0	1123	288

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 kx kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky)
(.f64 (.f64 ky ky) #s(literal -1/3 binary64))
(*.f64 ky ky)
#s(literal -1/3 binary64)
(sin.f64 th)
th
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
th
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
#s(literal 2 binary64)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 th th)

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) kx)
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 kx kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))))
(sqrt.f64 (fma.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))
(fma.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky)
(.f64 (.f64 ky ky) #s(literal -1/3 binary64))
(*.f64 ky ky)
#s(literal -1/3 binary64)
(sin.f64 th)
th
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)))
th
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
#s(literal 2 binary64)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
(.f64 (sin.f64 ky) (fma.f64 th (.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 th th)

localize160.0ms (1.3%)

Memory

13.5MiB live, 367.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
✓	accuracy	94.1%	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
✓	accuracy	90.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
✓	accuracy	99.9%	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))))
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
✓	accuracy	99.8%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	90.6%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	76.9%	(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.9%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Samples

50.0ms	141×	0	valid
46.0ms	115×	0	invalid

Compiler

Compiled 355 to 40 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 18.0ms (25.3% of total)

ival-sin: 17.0ms (23.9% of total)

const: 11.0ms (15.5% of total)

ival-div: 6.0ms (8.4% of total)

ival-add: 5.0ms (7% of total)

ival-sqrt: 5.0ms (7% of total)

ival-pow2: 5.0ms (7% of total)

ival-hypot: 4.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory

2.1MiB live, 116.9MiB allocated

Counts

16 → 360

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (sin.f64 kx)>
#<alt (sin.f64 th)>
#<alt (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (sin.f64 ky)>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>

Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt 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 th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sqrt (* ky (+ ky (* -1/3 (pow ky 3)))))>
#<alt (+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))))>
#<alt (+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))) (* 1/2 (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))))))>
#<alt (+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))) (* ky (+ ky (* -1/3 (pow ky 3)))))))) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))))))))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/4 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (* (pow ky 2) (sqrt -1/3))>
#<alt (* (pow ky 2) (+ (sqrt -1/3) (* 1/2 (/ 1 (* (pow ky 2) (sqrt -1/3))))))>
#<alt (* (pow ky 2) (+ (sqrt -1/3) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3))))))>
#<alt (* (pow ky 2) (+ (sqrt -1/3) (+ (* -1/4 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 6) (pow (sqrt -1/3) 3)))) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3)))))))>
#<alt (* (pow ky 2) (sqrt -1/3))>
#<alt (* (pow ky 2) (+ (sqrt -1/3) (* 1/2 (/ 1 (* (pow ky 2) (sqrt -1/3))))))>
#<alt (* (pow ky 2) (+ (sqrt -1/3) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3))))))>
#<alt (* (pow ky 2) (+ (sqrt -1/3) (+ (* -1/4 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 6) (pow (sqrt -1/3) 3)))) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3)))))))>
#<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)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (* (sin th) (sqrt -3))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3))))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2)))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))))) (pow ky 2))>
#<alt (/ (* (sin ky) (* (sin th) (sqrt -3))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3))))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2)))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))))) (pow ky 2))>
#<alt (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th)))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))) (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th))))>
#<alt (+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (* (sin ky) (sin th)))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))))))>
#<alt (+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (* (sin ky) (sin th)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))) (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ (* 2/45 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (+ (* 2/3 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (/ 1 (* (pow ky 4) (pow (+ ky (* -1/3 (pow ky 3))) 4))))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))) (* 1/2 (* (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (/ (* (sin ky) (sqrt -3)) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (sqrt -3))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (sqrt -3)))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (sqrt -3))))) (pow ky 2))>
#<alt (/ (* (sin ky) (sqrt -3)) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (sqrt -3))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (sqrt -3)))) (pow ky 2))>
#<alt (/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (sqrt -3))))) (pow ky 2))>
#<alt (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))) (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky)))>
#<alt (+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (sin ky))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))))))>
#<alt (+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (sin ky))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))) (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ (* 2/45 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (+ (* 2/3 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (/ 1 (* (pow ky 4) (pow (+ ky (* -1/3 (pow ky 3))) 4)))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))) (* 1/2 (* (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (sin ky) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))>
#<alt (/ 1 (sin kx))>
#<alt (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ 1 (sin ky))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))>
#<alt (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))>
#<alt (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))>
#<alt (* -1/6 (* (pow th 2) (sin ky)))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* -1/6 (* (pow th 2) (sin ky)))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow th 2))))>
#<alt (* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2)))))>
#<alt (* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))))))))>
#<alt (* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (/ 1 (pow (sin kx) 2))>
#<alt (+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (pow (sin ky) 2))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>

Calls

90 calls:

Time	Variable		Point	Expression
7.0ms	kx	@	-inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (* ky (+ (* ky (* (* ky ky) -1/3)) ky))))) (sin th))
5.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* kx kx) (pow (sin ky) 2)))) (sin th))
3.0ms	kx	@	0	(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
3.0ms	kx	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (* ky (+ (* ky (* (* ky ky) -1/3)) ky))))) (sin th))
2.0ms	kx	@	0	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (* ky (+ (* ky (* (* ky ky) -1/3)) ky))))) (sin th))

rewrite281.0ms (2.3%)

Memory

11.6MiB live, 488.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 342×	`lower-*.f32`
5 324×	`lower-*.f64`
4 568×	`lower-/.f32`
4 560×	`lower-/.f64`
2 948×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	151
0	66	146
1	220	143
2	1440	139
0	8494	123

Stop Event

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

Counts

16 → 382

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(sin.f64 th)
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))

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

simplify408.0ms (3.4%)

Memory

12.7MiB live, 728.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 198×	`lower-fma.f64`
8 198×	`lower-fma.f32`
6 600×	`lower-*.f64`
6 600×	`lower-*.f32`
6 528×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	888	8528
1	2975	8208
0	8148	7610

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

Calls

Call 1

Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt (* ky (+ ky (* -1/3 (pow ky 3)))))
(+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))))
(+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))) (* 1/2 (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))))))
(+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))) (* ky (+ ky (* -1/3 (pow ky 3)))))))) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))))))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/4 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
(* (pow ky 2) (sqrt -1/3))
(* (pow ky 2) (+ (sqrt -1/3) (* 1/2 (/ 1 (* (pow ky 2) (sqrt -1/3))))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3))))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* -1/4 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 6) (pow (sqrt -1/3) 3)))) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3)))))))
(* (pow ky 2) (sqrt -1/3))
(* (pow ky 2) (+ (sqrt -1/3) (* 1/2 (/ 1 (* (pow ky 2) (sqrt -1/3))))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3))))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* -1/4 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 6) (pow (sqrt -1/3) 3)))) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3)))))))
(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)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (* (sin th) (sqrt -3))) (pow ky 2))
(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))) (pow ky 2))
(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3))))) (pow ky 2))
(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2)))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))))) (pow ky 2))
(/ (* (sin ky) (* (sin th) (sqrt -3))) (pow ky 2))
(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))) (pow ky 2))
(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3))))) (pow ky 2))
(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2)))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))))) (pow ky 2))
(* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th)))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))) (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th))))
(+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (* (sin ky) (sin th)))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))))))
(+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (* (sin ky) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (* (sin ky) (sin th)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))) (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ (* 2/45 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (+ (* 2/3 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (/ 1 (* (pow ky 4) (pow (+ ky (* -1/3 (pow ky 3))) 4))))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))) (* 1/2 (* (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(/ (* (sin ky) (sqrt -3)) (pow ky 2))
(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (sqrt -3))) (pow ky 2))
(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (sqrt -3)))) (pow ky 2))
(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (sqrt -3))))) (pow ky 2))
(/ (* (sin ky) (sqrt -3)) (pow ky 2))
(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (sqrt -3))) (pow ky 2))
(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (sqrt -3)))) (pow ky 2))
(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ (* 3 (+ 27 (* 9 (pow (sin kx) 2)))) (+ (* 9/2 (/ (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (pow (sqrt -3) 2))) (* 27 (pow (sin kx) 2))))) (* (pow ky 6) (sqrt -3)))) (* (sin ky) (sqrt -3))))) (pow ky 2))
(* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky))
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))) (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky)))
(+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (sin ky))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))))))
(+ (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (sin ky)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (sin ky))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3))))) (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ (* 2/45 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (+ (* 2/3 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))) (/ 1 (* (pow ky 4) (pow (+ ky (* -1/3 (pow ky 3))) 4)))))))) (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))))) (* 1/2 (* (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (sin ky) (+ (* 1/3 (/ 1 (* (pow ky 2) (pow (+ ky (* -1/3 (pow ky 3))) 2)))) (* 3/4 (/ 1 (* (pow ky 3) (pow (+ ky (* -1/3 (pow ky 3))) 3)))))))))))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
(/ 1 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin ky)
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(* -1/6 (* (pow th 2) (sin ky)))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* -1/6 (* (pow th 2) (sin ky)))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* ky (+ 1 (* -1/6 (pow th 2))))
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2)))))
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))))))))
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(/ 1 (pow (sin kx) 2))
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (pow (sin ky) 2))
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))

Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64) (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.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 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (fma.f64 (.f64 th th) (.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))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (.f64 th th))))) (*.f64 (sin.f64 ky) (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))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (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 th th) (.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))))) (fma.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (.f64 (sin.f64 ky) (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))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (.f64 ky ky))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (.f64 (.f64 ky ky) (+.f64 (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (.f64 ky ky) (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (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))))))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 ky (/.f64 ky (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 ky (/.f64 ky (sin.f64 kx)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (.f64 kx kx) (sin.f64 ky))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(fma.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(fma.f64 kx (.f64 (.f64 kx kx) (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64))) kx)
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(fma.f64 kx (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/8 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(fma.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(fma.f64 kx (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))) kx)
(* -1 kx)
(neg.f64 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(neg.f64 (fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(neg.f64 (fma.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(neg.f64 (fma.f64 kx (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx))) (/.f64 (.f64 ky ky) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)) (.f64 kx kx))) (/.f64 (.f64 ky ky) kx)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx (sin.f64 th)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (.f64 kx kx)) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64)))))) (fma.f64 #s(literal -1/12 binary64) (.f64 (.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) kx)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(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))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 ky (.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 ky (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sqrt (* ky (+ ky (* -1/3 (pow ky 3)))))
(sqrt.f64 (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))
(+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky)))) (sqrt.f64 (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky))))
(+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))) (* 1/2 (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))))))
(fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky)))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky))))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))
(+ (sqrt (* ky (+ ky (* -1/3 (pow ky 3))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))) (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* ky (+ ky (* -1/3 (pow ky 3))))))) (* ky (+ ky (* -1/3 (pow ky 3)))))))) (sqrt (/ 1 (* ky (+ ky (* -1/3 (pow ky 3)))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky))) #s(literal -1/6 binary64)) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky)))))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky))))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky)))))) (sqrt.f64 (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 ky (/.f64 ky (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/4 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(* (pow ky 2) (sqrt -1/3))
(.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64)))
(* (pow ky 2) (+ (sqrt -1/3) (* 1/2 (/ 1 (* (pow ky 2) (sqrt -1/3))))))
(.f64 (.f64 ky ky) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64))))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* -1/4 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 6) (pow (sqrt -1/3) 3)))) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3)))))))
(.f64 (.f64 ky ky) (+.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (pow.f64 ky #s(literal 4 binary64))))))
(* (pow ky 2) (sqrt -1/3))
(.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64)))
(* (pow ky 2) (+ (sqrt -1/3) (* 1/2 (/ 1 (* (pow ky 2) (sqrt -1/3))))))
(.f64 (.f64 ky ky) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64))))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3))))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))))
(* (pow ky 2) (+ (sqrt -1/3) (+ (* -1/4 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 6) (pow (sqrt -1/3) 3)))) (+ (* 1/2 (/ (- (pow (sin kx) 2) (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow ky 4) (sqrt -1/3)))) (/ 1/2 (* (pow ky 2) (sqrt -1/3)))))))
(.f64 (.f64 ky ky) (+.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (pow.f64 ky #s(literal 4 binary64))))))
(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 #s(literal 2/45 binary64) (.f64 kx kx) #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))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64) (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/ (* (sin ky) (* (sin th) (sqrt -3))) (pow ky 2))
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(/ (+ (* -9/2 (/ (* (sin ky) (sin th)) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (* (sin th) (sqrt -3)))) (pow ky 2))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* ky (+ ky (* -1/3 (pow ky 3)))) (pow (sin kx) 2)))))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(/ (* (sin ky) (sqrt -3)) (pow ky 2))
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(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (* (sin ky) (sqrt -3))) (pow ky 2))
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(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (sqrt -3)))) (pow ky 2))
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(/ (* (sin ky) (sqrt -3)) (pow ky 2))
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(/ (+ (* -9/2 (/ (sin ky) (* (pow ky 2) (sqrt -3)))) (+ (* -1/2 (/ (* (sin ky) (+ 27 (+ (* 9 (pow (sin kx) 2)) (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (* (pow ky 4) (sqrt -3)))) (* (sin ky) (sqrt -3)))) (pow ky 2))
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(/ 1 (sin kx))
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(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
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(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 ky ky) (sin.f64 kx)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
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(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sin ky)
(sin.f64 ky)
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* -1/6 (* (pow th 2) (sin ky)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* -1/6 (* (pow th 2) (sin ky)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* ky (+ 1 (* -1/6 (pow th 2))))
(fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 th th)) ky)
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2)))))
(fma.f64 ky (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 th th))) ky)
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))))))))
(fma.f64 ky (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 th th))) ky)
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))
(fma.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal -1/6 binary64))) (.f64 #s(literal -1/6 binary64) (*.f64 th th))) ky)
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(/ 1 (pow (sin kx) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) (neg.f64 (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (pow (sin ky) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (neg.f64 (*.f64 kx kx)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

simplify90.0ms (0.7%)

Memory

-30.1MiB live, 140.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	891	10049
1	892	10049
0	892	10049

Stop Event

1×	saturated
1×	saturated

Counts

382 → 0

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (neg.f64 (.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))))
(/.f64 (neg.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sin.f64 th))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(.f64 (sin.f64 ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))))
(/.f64 (neg.f64 (.f64 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 (+.f64 #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))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (-.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)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #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))))))) #s(literal -1 binary64)))

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

eval118.0ms (1%)

Memory: 31.2MiB live, 214.9MiB allocated
Compiler: Compiled 26 877 to 1 008 computations (96.2% saved)

prune100.0ms (0.8%)

Memory

-13.1MiB live, 111.0MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	971	29	1 000
Fresh	7	6	13
Picked	3	2	5
Done	0	1	1
Total	981	38	1 019

Accuracy

99.9%

Counts

1 019 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
▶	17.7%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
	32.6%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	22.0%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	45.0%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
▶	26.7%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
	57.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th))
	57.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	59.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
✓	90.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	47.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (sin.f64 th))
▶	33.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
	28.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
	39.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	36.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	43.1%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	86.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
	10.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
▶	89.6%	(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))
	10.0%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
	25.8%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	30.7%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
	48.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	27.2%	(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
	51.1%	(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
	17.7%	(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	26.0%	(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	20.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	26.5%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	51.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky)))
	33.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	31.8%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	29.1%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	29.0%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	17.0%	(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
	24.7%	(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
✓	27.9%	(sin.f64 th)

Compiler

Compiled 1 642 to 1 038 computations (36.8% saved)

simplify41.0ms (0.3%)

Memory

16.8MiB live, 54.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 kx (sin.f64 ky))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
✓	cost-diff	128	(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	cost-diff	1024	(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
✓	cost-diff	0	(*.f64 th th)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	cost-diff	0	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
✓	cost-diff	0	(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)))))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (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))))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))

Rules

802×	`lower-*.f32`
784×	`lower-*.f64`
430×	`associate-l`
426×	`associate-r`
336×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	257
0	63	242
1	103	242
2	167	239
3	270	239
4	422	239
5	557	239
6	740	239
7	767	239
8	789	239
9	798	239
10	798	239
11	798	239
12	842	239
13	891	239
0	891	235

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (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))))))
(sin.f64 ky)
ky
(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 binary64) (+.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 (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
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
th
(.f64 #s(literal -1/6 binary64) (.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(sin.f64 ky)
ky
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(*.f64 ky ky)
(/.f64 #s(literal 1/2 binary64) kx)
#s(literal 1/2 binary64)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 kx kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
th
(.f64 #s(literal -1/6 binary64) (.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
(sin.f64 ky)
ky
(hypot.f64 kx (sin.f64 ky))
kx
(sin.f64 th)
th

Outputs
(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))
(.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 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (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))))))
(sin.f64 ky)
ky
(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 binary64) (+.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 (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
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
th
(.f64 #s(literal -1/6 binary64) (.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 ky (/.f64 (.f64 ky #s(literal 1/2 binary64)) kx) kx)))
(/.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(/.f64 (sin.f64 ky) (fma.f64 ky (/.f64 (*.f64 ky #s(literal 1/2 binary64)) kx) kx))
(sin.f64 ky)
ky
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(fma.f64 ky (/.f64 (*.f64 ky #s(literal 1/2 binary64)) kx) kx)
(*.f64 ky ky)
(/.f64 #s(literal 1/2 binary64) kx)
#s(literal 1/2 binary64)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) kx)
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 kx kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
th
(.f64 #s(literal -1/6 binary64) (.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 ky)
ky
(hypot.f64 kx (sin.f64 ky))
(hypot.f64 (sin.f64 ky) kx)
kx
(sin.f64 th)
th

localize153.0ms (1.3%)

Memory

-26.0MiB live, 253.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(hypot.f64 kx (sin.f64 ky))
✓	accuracy	99.9%	(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	90.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
✓	accuracy	66.7%	(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
✓	accuracy	99.1%	(/.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
✓	accuracy	90.4%	(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	99.9%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.5%	(*.f64 (sin.f64 ky) (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))))))
✓	accuracy	90.3%	(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)))))

Samples

91.0ms

256×

valid

Compiler

Compiled 283 to 37 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-sin: 16.0ms (23.3% of total)

ival-mult: 15.0ms (21.9% of total)

ival-div: 10.0ms (14.6% of total)

ival-sqrt: 10.0ms (14.6% of total)

ival-add: 5.0ms (7.3% of total)

ival-pow2: 5.0ms (7.3% of total)

ival-hypot: 4.0ms (5.8% of total)

const: 4.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

36.2MiB live, 74.2MiB allocated

Counts

17 → 372

Calls

Call 1

Inputs
#<alt (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)))))>
#<alt (*.f64 (sin.f64 ky) (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))))))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 th th))>
#<alt (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)>
#<alt (*.f64 th th)>
#<alt (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)>
#<alt (/.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))>
#<alt (.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))>
#<alt (sin.f64 ky)>
#<alt (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))>
#<alt (hypot.f64 kx (sin.f64 ky))>

Outputs
#<alt (/ 1 (sin ky))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ 1 (sin kx))>
#<alt (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)>
#<alt (/ 1 (pow (sin ky) 2))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (pow (sin kx) 2))>
#<alt (+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (* 1/2 (/ (pow ky 2) kx))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* 1/2 (/ (pow ky 2) kx))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* 1/2 (/ (pow ky 2) kx))>
#<alt (/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)>
#<alt (/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)>
#<alt (/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt kx>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 kx)) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (* 1/2 (/ (- (* 1/120 (/ 1 kx)) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2)))) (pow kx 2)))))) (* 1/120 (/ 1 kx))) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* 2 (/ (* kx (sin ky)) (pow ky 2)))>
#<alt (/ (+ (* -4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))) (* 2 (* kx (sin ky)))) (pow ky 2))>
#<alt (/ (- (+ (* 2 (* kx (sin ky))) (* 8 (/ (* (pow kx 5) (sin ky)) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ (* -16 (/ (* (pow kx 7) (sin ky)) (pow ky 6))) (* 2 (* kx (sin ky)))) (+ (* -8 (/ (* (pow kx 5) (sin ky)) (pow ky 4))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))))) (pow ky 2))>
#<alt (* 2 (/ (* kx (sin ky)) (pow ky 2)))>
#<alt (/ (+ (* -4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))) (* 2 (* kx (sin ky)))) (pow ky 2))>
#<alt (/ (- (+ (* 2 (* kx (sin ky))) (* 8 (/ (* (pow kx 5) (sin ky)) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ (* -16 (/ (* (pow kx 7) (sin ky)) (pow ky 6))) (* 2 (* kx (sin ky)))) (+ (* -8 (/ (* (pow kx 5) (sin ky)) (pow ky 4))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))))) (pow ky 2))>
#<alt (* 2 (/ (* kx (sin ky)) (pow ky 2)))>
#<alt (* kx (+ (* -4 (/ (* (pow kx 2) (sin ky)) (pow ky 4))) (* 2 (/ (sin ky) (pow ky 2)))))>
#<alt (* kx (+ (* 2 (/ (sin ky) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (sin ky)) (pow ky 6))) (* 4 (/ (sin ky) (pow ky 4)))))))>
#<alt (* kx (+ (* 2 (/ (sin ky) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (sin ky)) (pow ky 8))) (* -8 (/ (sin ky) (pow ky 6))))) (* 4 (/ (sin ky) (pow ky 4)))))))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)>
#<alt (/ (- (+ (sin ky) (* 1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4)))) (* 1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)>
#<alt (/ (- (+ (sin ky) (* -1/8 (/ (* (pow ky 6) (sin ky)) (pow kx 6)))) (+ (* -1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)>
#<alt (/ (sin ky) kx)>
#<alt (* -1 (/ (+ (* -1 (sin ky)) (* 1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (sin ky)) (* -1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (sin ky)) (* 1/8 (/ (* (pow ky 6) (sin ky)) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4))))) kx))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (* 1/120 (/ (sin th) kx)) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) kx)) (* (pow ky 2) (- (* -1/5040 (/ (sin th) kx)) (* 1/2 (/ (- (* 1/120 (/ (sin th) kx)) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))) (pow kx 2)))))) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))>
#<alt (* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))>
#<alt (/ (+ (* -4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))) (* 2 (* kx (* (sin ky) (sin th))))) (pow ky 2))>
#<alt (/ (- (+ (* 2 (* kx (* (sin ky) (sin th)))) (* 8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ (* -16 (/ (* (pow kx 7) (* (sin ky) (sin th))) (pow ky 6))) (* 2 (* kx (* (sin ky) (sin th))))) (+ (* -8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))))) (pow ky 2))>
#<alt (* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))>
#<alt (/ (+ (* -4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))) (* 2 (* kx (* (sin ky) (sin th))))) (pow ky 2))>
#<alt (/ (- (+ (* 2 (* kx (* (sin ky) (sin th)))) (* 8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ (* -16 (/ (* (pow kx 7) (* (sin ky) (sin th))) (pow ky 6))) (* 2 (* kx (* (sin ky) (sin th))))) (+ (* -8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))))) (pow ky 2))>
#<alt (* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))>
#<alt (* kx (+ (* -4 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 4))) (* 2 (/ (* (sin ky) (sin th)) (pow ky 2)))))>
#<alt (* kx (+ (* 2 (/ (* (sin ky) (sin th)) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 6))) (* 4 (/ (* (sin ky) (sin th)) (pow ky 4)))))))>
#<alt (* kx (+ (* 2 (/ (* (sin ky) (sin th)) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 8))) (* -8 (/ (* (sin ky) (sin th)) (pow ky 6))))) (* 4 (/ (* (sin ky) (sin th)) (pow ky 4)))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (- (+ (* 1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))) (* (sin ky) (sin th))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx)>
#<alt (/ (- (+ (* -1/8 (/ (* (pow ky 6) (* (sin ky) (sin th))) (pow kx 6))) (* (sin ky) (sin th))) (+ (* -1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (* -1 (/ (+ (* -1 (* (sin ky) (sin th))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (* (sin ky) (sin th))) (* -1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (* (sin ky) (sin th))) (* 1/8 (/ (* (pow ky 6) (* (sin ky) (sin th))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))))) kx))>
#<alt (/ (* th (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (/ th kx)))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)))) (/ th kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ th kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* 1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) kx))))))))))))) (/ th kx))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (+ th (* -1/6 (pow th 3)))>
#<alt (+ th (+ (* -1/2 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 2))) (* -1/6 (pow th 3))))>
#<alt (+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 4)))))))>
#<alt (+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 6))) (* 3/8 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 4)))))))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) kx)>
#<alt (* -1 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)>
#<alt (* -1 (/ (sin ky) kx))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>

Calls

93 calls:

Time	Variable		Point	Expression
3.0ms	ky	@	inf	(* (/ (sin ky) (sqrt (+ (* kx kx) (pow (sin ky) 2)))) (+ (* th (* -1/6 (* th th))) th))
2.0ms	kx	@	inf	(/ (sin ky) (+ (* (* ky ky) (/ 1/2 kx)) kx))
1.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* kx kx) (pow (sin ky) 2)))) (+ (* th (* -1/6 (* th th))) th))
1.0ms	th	@	inf	(* (/ (sin ky) (+ (* (* ky ky) (/ 1/2 kx)) kx)) (sin th))
1.0ms	ky	@	0	(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky)))))

rewrite352.0ms (2.9%)

Memory

3.9MiB live, 509.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 602×	`lower-fma.f32`
5 598×	`lower-fma.f64`
3 996×	`lower-*.f32`
3 980×	`lower-*.f64`
3 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	148
0	61	138
1	208	133
2	1303	133
0	8231	118

Stop Event

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

Counts

17 → 606

Calls

Call 1

Inputs
(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 (sin.f64 ky) (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))))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.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 -1/6 binary64) (.f64 th th))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(*.f64 th th)
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(/.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(sin.f64 ky)
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
(hypot.f64 kx (sin.f64 ky))

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

simplify541.0ms (4.5%)

Memory

-9.7MiB live, 619.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 234×	`lower-fma.f64`
10 234×	`lower-fma.f32`
8 428×	`lower-*.f64`
8 428×	`lower-*.f32`
5 592×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	897	7943
1	2963	7749
0	8476	7233

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 363

Calls

Call 1

Inputs
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ 1 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(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)
(/ 1 (pow (sin ky) 2))
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (pow (sin kx) 2))
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(* 1/2 (/ (pow ky 2) kx))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* 1/2 (/ (pow ky 2) kx))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* 1/2 (/ (pow ky 2) kx))
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
kx
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 kx)) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (* 1/2 (/ (- (* 1/120 (/ 1 kx)) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2)))) (pow kx 2)))))) (* 1/120 (/ 1 kx))) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* 2 (/ (* kx (sin ky)) (pow ky 2)))
(/ (+ (* -4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))) (* 2 (* kx (sin ky)))) (pow ky 2))
(/ (- (+ (* 2 (* kx (sin ky))) (* 8 (/ (* (pow kx 5) (sin ky)) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2)))) (pow ky 2))
(/ (- (+ (* -16 (/ (* (pow kx 7) (sin ky)) (pow ky 6))) (* 2 (* kx (sin ky)))) (+ (* -8 (/ (* (pow kx 5) (sin ky)) (pow ky 4))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))))) (pow ky 2))
(* 2 (/ (* kx (sin ky)) (pow ky 2)))
(/ (+ (* -4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))) (* 2 (* kx (sin ky)))) (pow ky 2))
(/ (- (+ (* 2 (* kx (sin ky))) (* 8 (/ (* (pow kx 5) (sin ky)) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2)))) (pow ky 2))
(/ (- (+ (* -16 (/ (* (pow kx 7) (sin ky)) (pow ky 6))) (* 2 (* kx (sin ky)))) (+ (* -8 (/ (* (pow kx 5) (sin ky)) (pow ky 4))) (* 4 (/ (* (pow kx 3) (sin ky)) (pow ky 2))))) (pow ky 2))
(* 2 (/ (* kx (sin ky)) (pow ky 2)))
(* kx (+ (* -4 (/ (* (pow kx 2) (sin ky)) (pow ky 4))) (* 2 (/ (sin ky) (pow ky 2)))))
(* kx (+ (* 2 (/ (sin ky) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (sin ky)) (pow ky 6))) (* 4 (/ (sin ky) (pow ky 4)))))))
(* kx (+ (* 2 (/ (sin ky) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (sin ky)) (pow ky 8))) (* -8 (/ (sin ky) (pow ky 6))))) (* 4 (/ (sin ky) (pow ky 4)))))))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)
(/ (- (+ (sin ky) (* 1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4)))) (* 1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)
(/ (- (+ (sin ky) (* -1/8 (/ (* (pow ky 6) (sin ky)) (pow kx 6)))) (+ (* -1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)
(/ (sin ky) kx)
(* -1 (/ (+ (* -1 (sin ky)) (* 1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (sin ky)) (* -1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (sin ky)) (* 1/8 (/ (* (pow ky 6) (sin ky)) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4))))) kx))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (* 1/120 (/ (sin th) kx)) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) kx)) (* (pow ky 2) (- (* -1/5040 (/ (sin th) kx)) (* 1/2 (/ (- (* 1/120 (/ (sin th) kx)) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))) (pow kx 2)))))) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))
(/ (+ (* -4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))) (* 2 (* kx (* (sin ky) (sin th))))) (pow ky 2))
(/ (- (+ (* 2 (* kx (* (sin ky) (sin th)))) (* 8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2)))) (pow ky 2))
(/ (- (+ (* -16 (/ (* (pow kx 7) (* (sin ky) (sin th))) (pow ky 6))) (* 2 (* kx (* (sin ky) (sin th))))) (+ (* -8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))))) (pow ky 2))
(* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))
(/ (+ (* -4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))) (* 2 (* kx (* (sin ky) (sin th))))) (pow ky 2))
(/ (- (+ (* 2 (* kx (* (sin ky) (sin th)))) (* 8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2)))) (pow ky 2))
(/ (- (+ (* -16 (/ (* (pow kx 7) (* (sin ky) (sin th))) (pow ky 6))) (* 2 (* kx (* (sin ky) (sin th))))) (+ (* -8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))))) (pow ky 2))
(* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))
(* kx (+ (* -4 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 4))) (* 2 (/ (* (sin ky) (sin th)) (pow ky 2)))))
(* kx (+ (* 2 (/ (* (sin ky) (sin th)) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 6))) (* 4 (/ (* (sin ky) (sin th)) (pow ky 4)))))))
(* kx (+ (* 2 (/ (* (sin ky) (sin th)) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 8))) (* -8 (/ (* (sin ky) (sin th)) (pow ky 6))))) (* 4 (/ (* (sin ky) (sin th)) (pow ky 4)))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (- (+ (* 1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))) (* (sin ky) (sin th))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx)
(/ (- (+ (* -1/8 (/ (* (pow ky 6) (* (sin ky) (sin th))) (pow kx 6))) (* (sin ky) (sin th))) (+ (* -1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))))) kx)
(/ (* (sin ky) (sin th)) kx)
(* -1 (/ (+ (* -1 (* (sin ky) (sin th))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (sin th))) (* -1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (sin th))) (* 1/8 (/ (* (pow ky 6) (* (sin ky) (sin th))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))))) kx))
(/ (* th (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (/ th kx)))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)))) (/ th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* 1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) kx))))))))))))) (/ th kx))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(+ th (* -1/6 (pow th 3)))
(+ th (+ (* -1/2 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 2))) (* -1/6 (pow th 3))))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 4)))))))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 6))) (* 3/8 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 4)))))))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) kx)
(* -1 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(* -1 (/ (sin ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))

Outputs
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) (sin.f64 ky))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(/ 1 (sin kx))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
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(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(/ 1 (pow (sin ky) 2))
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(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(* -1 (/ (- (+ (* -1 (sin ky)) (* 1/8 (/ (* (pow ky 6) (sin ky)) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (sin ky)) (pow kx 4))))) kx))
(neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 6 binary64))) (neg.f64 (sin.f64 ky))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 ky ky)) (.f64 kx kx)) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (sin.f64 ky)) (pow.f64 kx #s(literal 4 binary64))))) kx))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (* 1/120 (/ (sin th) kx)) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (.f64 kx kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) kx)) (* (pow ky 2) (- (* -1/5040 (/ (sin th) kx)) (* 1/2 (/ (- (* 1/120 (/ (sin th) kx)) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))) (pow kx 2)))))) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) kx) #s(literal -1/5040 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (.f64 kx kx)))) (.f64 kx kx)))) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (.f64 kx kx))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 th) kx)))
(* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(/ (+ (* -4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))) (* 2 (* kx (* (sin ky) (sin th))))) (pow ky 2))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sin.f64 ky) kx) (sin.f64 th)) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 kx (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 ky ky))) (*.f64 ky ky))
(/ (- (+ (* 2 (* kx (* (sin ky) (sin th)))) (* 8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2)))) (pow ky 2))
(/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 5 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sin.f64 ky) kx) (sin.f64 th)) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 kx (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 ky ky)))) (*.f64 ky ky))
(/ (- (+ (* -16 (/ (* (pow kx 7) (* (sin ky) (sin th))) (pow ky 6))) (* 2 (* kx (* (sin ky) (sin th))))) (+ (* -8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))))) (pow ky 2))
(/.f64 (-.f64 (fma.f64 #s(literal -16 binary64) (.f64 (pow.f64 kx #s(literal 7 binary64)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 6 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 kx (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky ky))) (.f64 (.f64 #s(literal -8 binary64) (pow.f64 kx #s(literal 5 binary64))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64)))))) (.f64 ky ky))
(* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(/ (+ (* -4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))) (* 2 (* kx (* (sin ky) (sin th))))) (pow ky 2))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sin.f64 ky) kx) (sin.f64 th)) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 kx (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 ky ky))) (*.f64 ky ky))
(/ (- (+ (* 2 (* kx (* (sin ky) (sin th)))) (* 8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4)))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2)))) (pow ky 2))
(/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 5 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sin.f64 ky) kx) (sin.f64 th)) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 kx (.f64 kx kx))) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 ky ky)))) (*.f64 ky ky))
(/ (- (+ (* -16 (/ (* (pow kx 7) (* (sin ky) (sin th))) (pow ky 6))) (* 2 (* kx (* (sin ky) (sin th))))) (+ (* -8 (/ (* (pow kx 5) (* (sin ky) (sin th))) (pow ky 4))) (* 4 (/ (* (pow kx 3) (* (sin ky) (sin th))) (pow ky 2))))) (pow ky 2))
(/.f64 (-.f64 (fma.f64 #s(literal -16 binary64) (.f64 (pow.f64 kx #s(literal 7 binary64)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 6 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 kx (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky ky))) (.f64 (.f64 #s(literal -8 binary64) (pow.f64 kx #s(literal 5 binary64))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64)))))) (.f64 ky ky))
(* 2 (/ (* kx (* (sin ky) (sin th))) (pow ky 2)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(* kx (+ (* -4 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 4))) (* 2 (/ (* (sin ky) (sin th)) (pow ky 2)))))
(.f64 kx (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 kx kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 ky #s(literal 4 binary64)))))
(* kx (+ (* 2 (/ (* (sin ky) (sin th)) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 6))) (* 4 (/ (* (sin ky) (sin th)) (pow ky 4)))))))
(.f64 kx (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 6 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 ky ky))))
(* kx (+ (* 2 (/ (* (sin ky) (sin th)) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 8))) (* -8 (/ (* (sin ky) (sin th)) (pow ky 6))))) (* 4 (/ (* (sin ky) (sin th)) (pow ky 4)))))))
(.f64 kx (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -16 binary64) (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 8 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 6 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky))))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/ (- (+ (* 1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))) (* (sin ky) (sin th))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) kx)
(/ (- (+ (* -1/8 (/ (* (pow ky 6) (* (sin ky) (sin th))) (pow kx 6))) (* (sin ky) (sin th))) (+ (* -1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))))) kx)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 6 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx kx)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))))) kx)
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(* -1 (/ (+ (* -1 (* (sin ky) (sin th))) (* 1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 kx kx)) (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (sin th))) (* -1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2)))) kx))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 kx kx)) (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (sin th))) (* 1/8 (/ (* (pow ky 6) (* (sin ky) (sin th))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (* (sin ky) (sin th))) (pow kx 4))))) kx))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 6 binary64))) (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 kx kx)))) (neg.f64 kx))
(/ (* th (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))
(.f64 th (fma.f64 (.f64 th th) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 (sin.f64 ky) th) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow ky 2) kx))))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th th)) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx))))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin ky) (sin th)) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(fma.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(fma.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) kx)
(* -1 kx)
(neg.f64 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(neg.f64 (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(neg.f64 (fma.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) kx) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)) (.f64 kx kx))) kx) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (/ th kx)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)))) (/ th kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ th kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) (fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (+ (* 1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) kx))))))))))))) (/ th kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))) (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) #s(literal -1/240 binary64) (/.f64 (.f64 #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (.f64 th th)) kx) (/.f64 th kx))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ th (* -1/6 (pow th 3)))
(fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)
(+ th (+ (* -1/2 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 2))) (* -1/6 (pow th 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 4)))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 6))) (* 3/8 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 4)))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 3/8 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -5/16 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) kx)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (.f64 kx kx)) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (.f64 kx kx))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (.f64 kx kx))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)))) kx)
(* -1 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (.f64 kx kx)) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th))) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) kx))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) kx))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
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(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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(pow (sin ky) 2)
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(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)
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(pow (sin ky) 2)
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(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(sin th)
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
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(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (sin.f64 ky) th) th)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(.f64 th (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky)) (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky kx)
(/.f64 ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 kx (.f64 kx kx))) (/.f64 #s(literal 1/120 binary64) kx)))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (*.f64 kx kx))))) (/.f64 #s(literal 1 binary64) kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/12 binary64) (.f64 kx (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) kx) (/.f64 #s(literal 1/240 binary64) (.f64 kx (.f64 kx kx))))))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (.f64 kx (.f64 kx kx)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))))) (/.f64 #s(literal 1 binary64) kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx)) (sin.f64 ky)) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx))) (sin.f64 ky)) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx)))) (sin.f64 ky)) kx)
(* -1 (/ (sin ky) kx))
(neg.f64 (/.f64 (sin.f64 ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx)) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx))) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (.f64 kx kx)))) (sin.f64 ky)) (neg.f64 kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(fma.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(fma.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) kx)
(* -1 kx)
(neg.f64 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(neg.f64 (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(neg.f64 (fma.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) kx) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)) (.f64 kx kx))) kx) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)

simplify176.0ms (1.5%)

Memory

34.0MiB live, 233.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1250	20476
1	1251	20476
0	1251	20476

Stop Event

1×	saturated
1×	saturated

Counts

606 → 0

Calls

Call 1

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

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

eval118.0ms (1%)

Memory: 8.7MiB live, 234.4MiB allocated
Compiler: Compiled 22 807 to 978 computations (95.7% saved)

prune163.0ms (1.4%)

Memory

-25.0MiB live, 137.3MiB allocated

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	926	26	952
Fresh	5	25	30
Picked	2	3	5
Done	0	3	3
Total	933	57	990

Accuracy

99.9%

Counts

990 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
✓	17.7%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
	3.9%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
	13.8%	(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
	17.1%	(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
	32.6%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	22.0%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	25.1%	(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
▶	25.5%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
	37.0%	(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
	45.0%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
▶	18.2%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
	20.7%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
	57.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th))
	57.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	39.7%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	59.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
✓	90.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	21.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
	21.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
▶	28.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
	39.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	13.6%	(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
	27.2%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	36.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	26.3%	(*.f64 (/.f64 ky kx) (sin.f64 th))
	43.1%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
▶	86.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
	10.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
	27.8%	(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
	39.1%	(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
	35.2%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	43.6%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
✓	89.6%	(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))
	10.0%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
	30.7%	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
	9.3%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	25.8%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	17.0%	(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
	48.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	21.1%	(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
	27.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	51.1%	(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
	17.7%	(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	26.0%	(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	20.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	26.5%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	51.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky)))
	33.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	31.8%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	29.1%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	14.4%	(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
	24.7%	(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
	20.2%	(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
▶	12.7%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	27.9%	(sin.f64 th)

Compiler

Compiled 2 331 to 1 448 computations (37.9% saved)

simplify271.0ms (2.3%)

Memory

-8.0MiB live, 305.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	cost-diff	64	(/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx))
✓	cost-diff	640	(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓	cost-diff	128	(+.f64 (.f64 kx kx) (.f64 ky ky))
✓	cost-diff	0	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
✓	cost-diff	0	(/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
✓	cost-diff	0	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
✓	cost-diff	0	(*.f64 th th)
✓	cost-diff	0	(.f64 th (.f64 th th))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(*.f64 (sin.f64 th) (sin.f64 ky))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))

Rules

4 912×	`lower-*.f32`
4 886×	`lower-*.f64`
4 280×	`lower-/.f32`
4 268×	`lower-/.f64`
2 410×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	311
0	75	307
1	134	302
2	236	302
3	445	293
4	919	293
5	2077	293
6	2676	293
7	3367	293
8	3436	293
9	3613	293
10	3640	293
11	4421	293
12	4432	293
13	4739	293
14	4944	293
15	5031	293
16	5092	293
17	5139	293
18	5180	293
19	5222	293
20	5234	293
21	7928	293
0	8022	269

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(sin.f64 ky)
ky
(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 binary64) (+.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 (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
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
#s(literal -1/6 binary64)
(.f64 th (.f64 th th))
th
(*.f64 th th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
ky
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(/.f64 #s(literal 1/2 binary64) kx)
#s(literal 1/2 binary64)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))
(+.f64 (.f64 kx kx) (.f64 ky ky))
(*.f64 kx kx)
kx
(*.f64 ky ky)
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx))
(sin.f64 ky)
ky
(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
(*.f64 kx #s(literal 1/2 binary64))
kx
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 kx kx)
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
th
(.f64 #s(literal -1/6 binary64) (.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)

Outputs
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(sin.f64 ky)
ky
(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 binary64) (+.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 (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
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 th (*.f64 th #s(literal -1/6 binary64))))
#s(literal -1/6 binary64)
(.f64 th (.f64 th th))
th
(*.f64 th th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky)) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(/.f64 (fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky)
ky
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(*.f64 ky ky)
#s(literal -1/6 binary64)
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(/.f64 #s(literal 1/2 binary64) kx)
#s(literal 1/2 binary64)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 ky ky (.f64 kx kx))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))
(sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))
(+.f64 (.f64 kx kx) (.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(*.f64 kx kx)
kx
(*.f64 ky ky)
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 th kx) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 kx kx)))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx))
(/.f64 (.f64 (sin.f64 ky) kx) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 kx kx)))
(sin.f64 ky)
ky
(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
(fma.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) kx) kx)
(*.f64 kx #s(literal 1/2 binary64))
kx
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 kx kx)
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 th (.f64 th #s(literal -1/6 binary64))) th)
th
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(.f64 th (.f64 th #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 th th)

localize170.0ms (1.4%)

Memory

6.6MiB live, 280.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	87.8%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	accuracy	86.4%	(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
✓	accuracy	84.8%	(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓	accuracy	50.7%	(sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))
✓	accuracy	99.8%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	97.8%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
✓	accuracy	90.4%	(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
✓	accuracy	71.6%	(/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	99.9%	(.f64 th (.f64 th th))
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	92.7%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
✓	accuracy	90.3%	(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)))))

Samples

113.0ms

256×

valid

Compiler

Compiled 324 to 45 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 39.0ms (44.7% of total)

ival-sin: 16.0ms (18.3% of total)

ival-div: 9.0ms (10.3% of total)

ival-add: 8.0ms (9.2% of total)

ival-pow2: 5.0ms (5.7% of total)

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

const: 4.0ms (4.6% of total)

ival-sqrt: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory

-0.7MiB live, 113.4MiB allocated

Counts

19 → 420

Calls

Call 1

Inputs
#<alt (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)))))>
#<alt (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))>
#<alt (.f64 th (.f64 th th))>
#<alt (*.f64 th th)>
#<alt (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))>
#<alt (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)>
#<alt (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))>
#<alt (.f64 (.f64 ky ky) #s(literal -1/6 binary64))>
#<alt (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))>
#<alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))>
#<alt (sin.f64 ky)>
#<alt (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))>
#<alt (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)>
#<alt (.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 th th))>

Outputs
#<alt (/ 1 (sin ky))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ 1 (sin kx))>
#<alt (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)>
#<alt (/ 1 (pow (sin ky) 2))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (pow (sin kx) 2))>
#<alt (+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* 1/2 (/ (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3))))) (pow kx 2))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1/4 (/ (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3))))) (pow kx 4))) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* -1/3 (* kx ky))>
#<alt (* ky (- (+ (* -1/3 kx) (* 2 (/ kx (pow ky 2)))) (* -2/3 (/ (pow kx 3) (pow ky 2)))))>
#<alt (* ky (- (+ (* -2 (/ (* (pow kx 2) (- (* 2 kx) (* -2/3 (pow kx 3)))) (pow ky 4))) (+ (* -1/3 kx) (* 2 (/ kx (pow ky 2))))) (* -2/3 (/ (pow kx 3) (pow ky 2)))))>
#<alt (* ky (- (+ (* -1/3 kx) (+ (* 2 (/ kx (pow ky 2))) (* 4 (/ (* (pow kx 4) (- (* 2 kx) (* -2/3 (pow kx 3)))) (pow ky 6))))) (+ (* -2/3 (/ (pow kx 3) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* 2 kx) (* -2/3 (pow kx 3)))) (pow ky 4))))))>
#<alt (* -1/3 (* kx ky))>
#<alt (* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (* 1/3 kx)) (* 2/3 (/ (pow kx 3) (pow ky 2))))))>
#<alt (* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (+ (* -2 (/ (* (pow kx 2) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 4))) (* 1/3 kx))) (* 2/3 (/ (pow kx 3) (pow ky 2))))))>
#<alt (* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (+ (* 1/3 kx) (* 4 (/ (* (pow kx 4) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 6))))) (+ (* 2/3 (/ (pow kx 3) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 4)))))))>
#<alt (* 2 (/ (* kx (+ ky (* -1/6 (pow ky 3)))) (pow ky 2)))>
#<alt (* kx (+ (* -4 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4))) (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2)))))>
#<alt (* kx (+ (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 6))) (* 4 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 4)))))))>
#<alt (* kx (+ (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 8))) (* -8 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 6))))) (* 4 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 4)))))))>
#<alt (/ (+ ky (* -1/6 (pow ky 3))) kx)>
#<alt (/ (+ ky (+ (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))) (* -1/6 (pow ky 3)))) kx)>
#<alt (/ (- (+ ky (+ (* -1/6 (pow ky 3)) (* 1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx)>
#<alt (/ (- (+ ky (+ (* -1/6 (pow ky 3)) (* -1/8 (/ (* (pow ky 6) (+ ky (* -1/6 (pow ky 3)))) (pow kx 6))))) (+ (* -1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))))) kx)>
#<alt (/ (+ ky (* -1/6 (pow ky 3))) kx)>
#<alt (* -1 (/ (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* -1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* 1/8 (/ (* (pow ky 6) (+ ky (* -1/6 (pow ky 3)))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))))) kx))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (* 1/2 (/ (pow ky 2) kx))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* 1/2 (/ (pow ky 2) kx))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))>
#<alt (* 1/2 (/ (pow ky 2) kx))>
#<alt (/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)>
#<alt (/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)>
#<alt (/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt kx>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (+ (* -1/2 (/ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (pow kx 2))) (* -1/6 (/ (sin th) kx))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (* 1/4 (/ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (pow kx 4))) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))>
#<alt (* -1/3 (* kx (* ky (sin th))))>
#<alt (* ky (- (+ (* -1/3 (* kx (sin th))) (* 2 (/ (* kx (sin th)) (pow ky 2)))) (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2)))))>
#<alt (* ky (- (+ (* -2 (/ (* (pow kx 2) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 4))) (+ (* -1/3 (* kx (sin th))) (* 2 (/ (* kx (sin th)) (pow ky 2))))) (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2)))))>
#<alt (* ky (- (+ (* -1/3 (* kx (sin th))) (+ (* 2 (/ (* kx (sin th)) (pow ky 2))) (* 4 (/ (* (pow kx 4) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 6))))) (+ (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 4))))))>
#<alt (* -1/3 (* kx (* ky (sin th))))>
#<alt (* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (* 1/3 (* kx (sin th)))) (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))))))>
#<alt (* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (+ (* -2 (/ (* (pow kx 2) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 4))) (* 1/3 (* kx (sin th))))) (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))))))>
#<alt (* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (+ (* 1/3 (* kx (sin th))) (* 4 (/ (* (pow kx 4) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 6))))) (+ (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 4)))))))>
#<alt (* 2 (/ (* kx (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 2)))>
#<alt (* kx (+ (* -4 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 4))) (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2)))))>
#<alt (* kx (+ (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 6))) (* 4 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4)))))))>
#<alt (* kx (+ (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 8))) (* -8 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 6))))) (* 4 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4)))))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) kx)>
#<alt (/ (- (+ (* 1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx)>
#<alt (/ (- (+ (* -1/8 (/ (* (pow ky 6) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 6))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (+ (* -1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))))) kx)>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) kx)>
#<alt (* -1 (/ (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* -1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/8 (/ (* (pow ky 6) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))))) kx))>
#<alt (/ (* th (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))>
#<alt (* th (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))>
#<alt (* th (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow ky 3))) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow ky 5))) (* 1/8 (/ 1 (pow ky 3))))) (* 1/2 (/ 1 ky)))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow kx 3))) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow kx 5))) (* 1/8 (/ 1 (pow kx 3))))) (* 1/2 (/ 1 kx)))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 3/8 (/ (sin th) (pow kx 5))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 3/8 (/ (sin th) (pow kx 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow kx 7))) (+ (* -1/16 (/ (sin th) (pow kx 5))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)>
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 5))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 7))) (* 3/8 (/ (* (sin ky) (sin th)) (pow ky 5))))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 3/8 (/ 1 (pow kx 5))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (+ (* 1/240 (/ 1 (pow kx 3))) (+ (* 1/16 (/ 1 (pow kx 5))) (* 5/16 (/ 1 (pow kx 7)))))))) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (* 3/8 (/ 1 (pow kx 5))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (/ (sin ky) ky)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky)>
#<alt (* -1 (/ (sin ky) ky))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky))>
#<alt (/ (sin ky) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (sin ky)) (pow ky 5))))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin ky)) (pow ky 7))) (* 3/8 (/ (sin ky) (pow ky 5))))))) (/ (sin ky) ky))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx)>
#<alt (* -1 (/ (sin ky) kx))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (pow ky 2) (pow kx 2))>
#<alt (* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow kx 2))) (/ 1 (pow kx 2))))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow kx 2))) (* 1/3 (/ 1 (pow kx 2))))) (/ 1 (pow kx 2))))>
#<alt (* (pow ky 2) (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/315 (/ (pow ky 2) (pow kx 2))) (* 2/45 (/ 1 (pow kx 2))))) (* 1/3 (/ 1 (pow kx 2))))) (/ 1 (pow kx 2))))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (/ (pow (sin ky) 2) (pow kx 2))>
#<alt (* 1/2 (/ (pow (sin ky) 2) kx))>
#<alt (/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)>
#<alt (/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)>
#<alt (/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt kx>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))>
#<alt (* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/6 (/ (pow ky 2) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/45 (/ (pow ky 2) kx)) (* 1/6 (/ 1 kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))>
#<alt (/ (* ky (+ th (* -1/6 (pow th 3)))) kx)>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))))) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))) (+ (* 1/45 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))) (pow kx 2)))))))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))))) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (* 2 (/ (* kx (+ th (* -1/6 (pow th 3)))) (sin ky)))>
#<alt (* kx (+ (* -4 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 3))) (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky)))))>
#<alt (* kx (+ (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 5))) (* 4 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 3)))))))>
#<alt (* kx (+ (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 7))) (* -8 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 5))))) (* 4 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 3)))))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx)>
#<alt (/ (- (+ (* 1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx)>
#<alt (/ (- (+ (* -1/8 (/ (* (pow (sin ky) 7) (+ th (* -1/6 (pow th 3)))) (pow kx 6))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (+ (* -1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)>
#<alt (* -1 (/ (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* -1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4)))) (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx))>
#<alt (* -1 (/ (- (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/8 (/ (* (pow (sin ky) 7) (+ th (* -1/6 (pow th 3)))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* 1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))))) kx))>
#<alt (/ (* th (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))>
#<alt (* -1/6 (/ (* (pow th 3) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))>
#<alt (* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))>
#<alt (* -1/6 (/ (* (pow th 3) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>

Calls

105 calls:

Time	Variable		Point	Expression
14.0ms	kx	@	-inf	(* (/ (sin ky) (sqrt (+ (* kx kx) (* ky ky)))) (sin th))
4.0ms	kx	@	-inf	(* (/ (sin ky) (+ (* (* kx 1/2) (/ (pow (sin ky) 2) (* kx kx))) kx)) (+ (* th (* -1/6 (* th th))) th))
3.0ms	kx	@	inf	(* (/ (sin ky) (+ (* (* kx 1/2) (/ (pow (sin ky) 2) (* kx kx))) kx)) (+ (* th (* -1/6 (* th th))) th))
2.0ms	th	@	-inf	(* th (* th th))
1.0ms	ky	@	0	(* (/ (sin ky) (+ (* (* kx 1/2) (/ (pow (sin ky) 2) (* kx kx))) kx)) (+ (* th (* -1/6 (* th th))) th))

rewrite601.0ms (5%)

Memory

-16.2MiB live, 538.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 056×	`lower-/.f32`
5 044×	`lower-/.f64`
4 264×	`lower-fma.f32`
4 256×	`lower-fma.f64`
3 930×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	196
0	75	192
1	268	186
2	1817	180
0	8411	149

Stop Event

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

Counts

19 → 686

Calls

Call 1

Inputs
(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 (sin.f64 th) (sin.f64 ky)) (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))))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.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 -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 th th))
(*.f64 th th)
(/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky))))
(sin.f64 ky)
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 #s(literal -1/6 binary64) (.f64 th th))

Outputs
(exp.f64 (.f64 (neg.f64 (log.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 1/2 binary64)))
(exp.f64 (.f64 (log.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 -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.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)))
(fabs.f64 (sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (sqrt.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 1 binary64) (sqrt.f64 (neg.f64 (neg.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 1 binary64) (neg.f64 (neg.f64 (sqrt.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 -1 binary64) (neg.f64 (sqrt.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.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 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.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)))))))))
(pow.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 -1/2 binary64))
(pow.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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))
(pow.f64 (pow.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 -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 #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))))))) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1 binary64))
(.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (pow.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 -1/4 binary64)) (pow.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 -1/4 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.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 (-.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))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.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 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 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.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 (sqrt.f64 (sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sqrt.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (-.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.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 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (sqrt.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 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sqrt.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 1 binary64) (/.f64 (sqrt.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 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.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 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sqrt.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 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.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 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) (.f64 (sqrt.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 (.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sqrt.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 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.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 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.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 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.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 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))) (neg.f64 (.f64 (sqrt.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 (neg.f64 (.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (sqrt.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)))))))))
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(/.f64 (neg.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx) (sin.f64 ky))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 ky)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx))))
(/.f64 (neg.f64 (.f64 (fma.f64 th (.f64 th th) (.f64 (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (/.f64 (sin.f64 ky) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))) (neg.f64 (fma.f64 (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))) #s(literal 1/36 binary64) (.f64 th (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))) #s(literal 1/36 binary64)) (.f64 th th)) (/.f64 (sin.f64 ky) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))) (neg.f64 (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 ky) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 ky) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (.f64 (sin.f64 ky) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx) (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))) #s(literal -1 binary64))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 (sin.f64 ky) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (*.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (fma.f64 kx (.f64 kx kx) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 3 binary64)))) (fma.f64 kx (-.f64 kx (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx))) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (*.f64 kx kx)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx))) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (*.f64 kx kx)) kx))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (.f64 kx kx) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 3 binary64)))) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 #s(literal 1 binary64) (fma.f64 kx (-.f64 kx (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx))) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx))) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) kx))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 (fma.f64 th (.f64 th th) (.f64 (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))) #s(literal 1/36 binary64) (.f64 th (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))) #s(literal 1/36 binary64)) (.f64 th th)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (fma.f64 th (.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (*.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 kx (.f64 kx kx) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 3 binary64)))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (fma.f64 kx (-.f64 kx (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx))) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) kx))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 th (.f64 th #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(.f64 (.f64 th th) #s(literal -1/6 binary64))
(.f64 (.f64 th #s(literal -1/6 binary64)) th)

simplify432.0ms (3.6%)

Memory

36.6MiB live, 544.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 424×	`lower-*.f64`
7 424×	`lower-*.f32`
7 186×	`lower-fma.f64`
7 186×	`lower-fma.f32`
5 878×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1111	9155
1	3708	9016
0	8240	8452

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 409

Calls

Call 1

Inputs
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ 1 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(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)
(/ 1 (pow (sin ky) 2))
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (pow (sin kx) 2))
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* 1/2 (/ (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3))))) (pow kx 2))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1/4 (/ (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3))))) (pow kx 4))) (* -1/2 (/ (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))) (pow kx 2))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* -1/3 (* kx ky))
(* ky (- (+ (* -1/3 kx) (* 2 (/ kx (pow ky 2)))) (* -2/3 (/ (pow kx 3) (pow ky 2)))))
(* ky (- (+ (* -2 (/ (* (pow kx 2) (- (* 2 kx) (* -2/3 (pow kx 3)))) (pow ky 4))) (+ (* -1/3 kx) (* 2 (/ kx (pow ky 2))))) (* -2/3 (/ (pow kx 3) (pow ky 2)))))
(* ky (- (+ (* -1/3 kx) (+ (* 2 (/ kx (pow ky 2))) (* 4 (/ (* (pow kx 4) (- (* 2 kx) (* -2/3 (pow kx 3)))) (pow ky 6))))) (+ (* -2/3 (/ (pow kx 3) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* 2 kx) (* -2/3 (pow kx 3)))) (pow ky 4))))))
(* -1/3 (* kx ky))
(* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (* 1/3 kx)) (* 2/3 (/ (pow kx 3) (pow ky 2))))))
(* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (+ (* -2 (/ (* (pow kx 2) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 4))) (* 1/3 kx))) (* 2/3 (/ (pow kx 3) (pow ky 2))))))
(* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (+ (* 1/3 kx) (* 4 (/ (* (pow kx 4) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 6))))) (+ (* 2/3 (/ (pow kx 3) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 4)))))))
(* 2 (/ (* kx (+ ky (* -1/6 (pow ky 3)))) (pow ky 2)))
(* kx (+ (* -4 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4))) (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2)))))
(* kx (+ (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 6))) (* 4 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 4)))))))
(* kx (+ (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 8))) (* -8 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 6))))) (* 4 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 4)))))))
(/ (+ ky (* -1/6 (pow ky 3))) kx)
(/ (+ ky (+ (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))) (* -1/6 (pow ky 3)))) kx)
(/ (- (+ ky (+ (* -1/6 (pow ky 3)) (* 1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx)
(/ (- (+ ky (+ (* -1/6 (pow ky 3)) (* -1/8 (/ (* (pow ky 6) (+ ky (* -1/6 (pow ky 3)))) (pow kx 6))))) (+ (* -1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))))) kx)
(/ (+ ky (* -1/6 (pow ky 3))) kx)
(* -1 (/ (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* -1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* 1/8 (/ (* (pow ky 6) (+ ky (* -1/6 (pow ky 3)))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))))) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(* 1/2 (/ (pow ky 2) kx))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* 1/2 (/ (pow ky 2) kx))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(* 1/2 (/ (pow ky 2) kx))
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
kx
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/2 (/ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (pow kx 2))) (* -1/6 (/ (sin th) kx))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (* 1/4 (/ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (pow kx 4))) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(* -1/3 (* kx (* ky (sin th))))
(* ky (- (+ (* -1/3 (* kx (sin th))) (* 2 (/ (* kx (sin th)) (pow ky 2)))) (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2)))))
(* ky (- (+ (* -2 (/ (* (pow kx 2) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 4))) (+ (* -1/3 (* kx (sin th))) (* 2 (/ (* kx (sin th)) (pow ky 2))))) (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2)))))
(* ky (- (+ (* -1/3 (* kx (sin th))) (+ (* 2 (/ (* kx (sin th)) (pow ky 2))) (* 4 (/ (* (pow kx 4) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 6))))) (+ (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 4))))))
(* -1/3 (* kx (* ky (sin th))))
(* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (* 1/3 (* kx (sin th)))) (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))))))
(* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (+ (* -2 (/ (* (pow kx 2) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 4))) (* 1/3 (* kx (sin th))))) (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))))))
(* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (+ (* 1/3 (* kx (sin th))) (* 4 (/ (* (pow kx 4) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 6))))) (+ (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 4)))))))
(* 2 (/ (* kx (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 2)))
(* kx (+ (* -4 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 4))) (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2)))))
(* kx (+ (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 6))) (* 4 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4)))))))
(* kx (+ (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 8))) (* -8 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 6))))) (* 4 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4)))))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) kx)
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) kx)
(/ (- (+ (* 1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx)
(/ (- (+ (* -1/8 (/ (* (pow ky 6) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 6))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (+ (* -1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))))) kx)
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) kx)
(* -1 (/ (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* -1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/8 (/ (* (pow ky 6) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))))) kx))
(/ (* th (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(* th (+ (* -1/6 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))
(* th (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))
(* th (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow ky 3))) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow ky 5))) (* 1/8 (/ 1 (pow ky 3))))) (* 1/2 (/ 1 ky)))))
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow kx 3))) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow kx 5))) (* 1/8 (/ 1 (pow kx 3))))) (* 1/2 (/ 1 kx)))))
ky
(* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 3/8 (/ (sin th) (pow kx 5))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 3/8 (/ (sin th) (pow kx 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow kx 7))) (+ (* -1/16 (/ (sin th) (pow kx 5))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/ (* (sin ky) (sin th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 5))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 7))) (* 3/8 (/ (* (sin ky) (sin th)) (pow ky 5))))))) (/ (* (sin ky) (sin th)) ky))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 3/8 (/ 1 (pow kx 5))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (+ (* 1/240 (/ 1 (pow kx 3))) (+ (* 1/16 (/ 1 (pow kx 5))) (* 5/16 (/ 1 (pow kx 7)))))))) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (* 3/8 (/ 1 (pow kx 5))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(/ (sin ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky))
(/ (sin ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (sin ky)) (pow ky 5))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin ky)) (pow ky 7))) (* 3/8 (/ (sin ky) (pow ky 5))))))) (/ (sin ky) ky))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx)
(* -1 (/ (sin ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (pow ky 2) (pow kx 2))
(* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow kx 2))) (/ 1 (pow kx 2))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow kx 2))) (* 1/3 (/ 1 (pow kx 2))))) (/ 1 (pow kx 2))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/315 (/ (pow ky 2) (pow kx 2))) (* 2/45 (/ 1 (pow kx 2))))) (* 1/3 (/ 1 (pow kx 2))))) (/ 1 (pow kx 2))))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(/ (pow (sin ky) 2) (pow kx 2))
(* 1/2 (/ (pow (sin ky) 2) kx))
(/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)
(/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)
(/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
kx
(* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))
(* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))
(* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/6 (/ (pow ky 2) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/45 (/ (pow ky 2) kx)) (* 1/6 (/ 1 kx)))) (* 1/2 (/ 1 kx)))))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(/ (* ky (+ th (* -1/6 (pow th 3)))) kx)
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))))) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))) (+ (* 1/45 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))) (pow kx 2)))))))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))))) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(* 2 (/ (* kx (+ th (* -1/6 (pow th 3)))) (sin ky)))
(* kx (+ (* -4 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 3))) (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky)))))
(* kx (+ (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 5))) (* 4 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 3)))))))
(* kx (+ (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 7))) (* -8 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 5))))) (* 4 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 3)))))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx)
(/ (- (+ (* 1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx)
(/ (- (+ (* -1/8 (/ (* (pow (sin ky) 7) (+ th (* -1/6 (pow th 3)))) (pow kx 6))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (+ (* -1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))))) kx)
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)
(* -1 (/ (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* -1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4)))) (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/8 (/ (* (pow (sin ky) 7) (+ th (* -1/6 (pow th 3)))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* 1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))))) kx))
(/ (* th (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))
(* -1/6 (/ (* (pow th 3) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))
(* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))
(* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))
(* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))
(* -1/6 (/ (* (pow th 3) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))

Outputs
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
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(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin th)
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(* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (* 1/3 kx)) (* 2/3 (/ (pow kx 3) (pow ky 2))))))
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(* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (+ (* -2 (/ (* (pow kx 2) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 4))) (* 1/3 kx))) (* 2/3 (/ (pow kx 3) (pow ky 2))))))
(neg.f64 (.f64 ky (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 kx (.f64 ky ky)) (.f64 (.f64 kx kx) (/.f64 (fma.f64 kx #s(literal -2 binary64) (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64))) (pow.f64 ky #s(literal 4 binary64))))) (.f64 kx #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64)) (.f64 ky ky)))))
(* -1 (* ky (- (+ (* -2 (/ kx (pow ky 2))) (+ (* 1/3 kx) (* 4 (/ (* (pow kx 4) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 6))))) (+ (* 2/3 (/ (pow kx 3) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* -2 kx) (* 2/3 (pow kx 3)))) (pow ky 4)))))))
(neg.f64 (.f64 ky (-.f64 (fma.f64 (/.f64 kx (.f64 ky ky)) #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 kx #s(literal -2 binary64) (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64)))) (pow.f64 ky #s(literal 6 binary64))) (.f64 kx #s(literal 1/3 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 kx kx) (/.f64 (fma.f64 kx #s(literal -2 binary64) (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (.f64 ky ky))))))
(* 2 (/ (* kx (+ ky (* -1/6 (pow ky 3)))) (pow ky 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (*.f64 ky ky))
(* kx (+ (* -4 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4))) (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2)))))
(.f64 kx (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 ky ky)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)) (pow.f64 ky #s(literal 4 binary64))))))
(* kx (+ (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 6))) (* 4 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 4)))))))
(.f64 kx (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 6 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (*.f64 ky ky))))
(* kx (+ (* 2 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (+ ky (* -1/6 (pow ky 3)))) (pow ky 8))) (* -8 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 6))))) (* 4 (/ (+ ky (* -1/6 (pow ky 3))) (pow ky 4)))))))
(.f64 kx (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 8 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 ky #s(literal 6 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (*.f64 ky ky))))
(/ (+ ky (* -1/6 (pow ky 3))) kx)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) kx)
(/ (+ ky (+ (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))) (* -1/6 (pow ky 3)))) kx)
(/.f64 (+.f64 ky (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))))) kx)
(/ (- (+ ky (+ (* -1/6 (pow ky 3)) (* 1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx)
(/.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 kx #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx))) kx)
(/ (- (+ ky (+ (* -1/6 (pow ky 3)) (* -1/8 (/ (* (pow ky 6) (+ ky (* -1/6 (pow ky 3)))) (pow kx 6))))) (+ (* -1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))))) kx)
(/.f64 (+.f64 ky (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 kx #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 kx #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (*.f64 kx kx))))))) kx)
(/ (+ ky (* -1/6 (pow ky 3))) kx)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) kx)
(* -1 (/ (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* 1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 kx kx)))) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* -1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2)))) kx))
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 kx #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (*.f64 kx kx)))))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (+ ky (* -1/6 (pow ky 3)))) (* 1/8 (/ (* (pow ky 6) (+ ky (* -1/6 (pow ky 3)))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (+ ky (* -1/6 (pow ky 3)))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (+ ky (* -1/6 (pow ky 3)))) (pow kx 4))))) kx))
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 kx #s(literal 6 binary64))) #s(literal 1/8 binary64) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 kx kx))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 kx #s(literal 4 binary64))))))) (neg.f64 kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(* 1/2 (/ (pow ky 2) kx))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) kx)
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 kx (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) kx)))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 kx (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) kx)))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 kx (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) kx)))
(* 1/2 (/ (pow ky 2) kx))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) kx)
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 kx (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) kx)))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 kx (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) kx)))
(* (pow ky 2) (+ (* 1/2 (/ 1 kx)) (/ kx (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 (/.f64 kx (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) kx)))
(* 1/2 (/ (pow ky 2) kx))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/.f64 (fma.f64 kx kx (.f64 #s(literal 1/2 binary64) (.f64 ky ky))) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/.f64 (fma.f64 kx kx (.f64 #s(literal 1/2 binary64) (.f64 ky ky))) kx)
(/ (+ (* 1/2 (pow ky 2)) (pow kx 2)) kx)
(/.f64 (fma.f64 kx kx (.f64 #s(literal 1/2 binary64) (.f64 ky ky))) kx)
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 kx kx)) kx)
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 kx kx)) kx)
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 kx kx)) kx)
kx
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 ky ky) (*.f64 kx kx)) #s(literal -1 binary64)) (neg.f64 kx))
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 ky ky) (*.f64 kx kx)) #s(literal -1 binary64)) (neg.f64 kx))
(* -1 (* kx (- (* -1/2 (/ (pow ky 2) (pow kx 2))) 1)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 ky ky) (*.f64 kx kx)) #s(literal -1 binary64)) (neg.f64 kx))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/2 (/ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (pow kx 2))) (* -1/6 (/ (sin th) kx))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 th) kx)))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (- (* 1/4 (/ (* (pow ky 2) (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3))))) (pow kx 4))) (* 1/2 (/ (- (* -1/6 (/ (sin th) kx)) (* 1/2 (/ (sin th) (pow kx 3)))) (pow kx 2)))))) (* 1/2 (/ (sin th) (pow kx 3))))) (/ (sin th) kx)))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (pow.f64 kx #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (.f64 kx kx)))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))))) (/.f64 (sin.f64 th) kx)))
(* -1/3 (* kx (* ky (sin th))))
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(* ky (- (+ (* -1/3 (* kx (sin th))) (* 2 (/ (* kx (sin th)) (pow ky 2)))) (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2)))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(* ky (- (+ (* -2 (/ (* (pow kx 2) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 4))) (+ (* -1/3 (* kx (sin th))) (* 2 (/ (* kx (sin th)) (pow ky 2))))) (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2)))))
(.f64 ky (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 th) (fma.f64 kx #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx)))))) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky))))))
(* ky (- (+ (* -1/3 (* kx (sin th))) (+ (* 2 (/ (* kx (sin th)) (pow ky 2))) (* 4 (/ (* (pow kx 4) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 6))))) (+ (* -2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* 2 (* kx (sin th))) (* -2/3 (* (pow kx 3) (sin th))))) (pow ky 4))))))
(.f64 ky (-.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (/.f64 (.f64 (sin.f64 th) (fma.f64 kx #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))))) (pow.f64 ky #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (sin.f64 th))) (.f64 ky ky)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 th) (fma.f64 kx #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx)))))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64)) (sin.f64 th)) (*.f64 ky ky)))))
(* -1/3 (* kx (* ky (sin th))))
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (* 1/3 (* kx (sin th)))) (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (fma.f64 #s(literal 1/3 binary64) (.f64 kx (sin.f64 th)) (/.f64 (.f64 (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64)) (sin.f64 th)) (*.f64 ky ky)))) (neg.f64 ky))
(* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (+ (* -2 (/ (* (pow kx 2) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 4))) (* 1/3 (* kx (sin th))))) (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))))))
(neg.f64 (.f64 ky (+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 kx (/.f64 (sin.f64 th) (.f64 ky ky)) (/.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 th) (fma.f64 kx #s(literal -2 binary64) (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64))))) (pow.f64 ky #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 kx (sin.f64 th)))) (/.f64 (.f64 (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64)) (sin.f64 th)) (*.f64 ky ky)))))
(* -1 (* ky (- (+ (* -2 (/ (* kx (sin th)) (pow ky 2))) (+ (* 1/3 (* kx (sin th))) (* 4 (/ (* (pow kx 4) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 6))))) (+ (* 2/3 (/ (* (pow kx 3) (sin th)) (pow ky 2))) (* 2 (/ (* (pow kx 2) (- (* -2 (* kx (sin th))) (* 2/3 (* (pow kx 3) (sin th))))) (pow ky 4)))))))
(neg.f64 (.f64 ky (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (/.f64 (.f64 (sin.f64 th) (fma.f64 kx #s(literal -2 binary64) (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64)))) (pow.f64 ky #s(literal 6 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 kx (sin.f64 th))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 th) (fma.f64 kx #s(literal -2 binary64) (.f64 (.f64 kx (.f64 kx kx)) #s(literal -2/3 binary64))))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky))))))
(* 2 (/ (* kx (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(* kx (+ (* -4 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 4))) (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2)))))
(.f64 kx (fma.f64 #s(literal -4 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (*.f64 ky ky)))))
(* kx (+ (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 6))) (* 4 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4)))))))
(.f64 kx (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 6 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (.f64 ky ky)))))
(* kx (+ (* 2 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 2))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow ky 8))) (* -8 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 6))))) (* 4 (/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (pow ky 4)))))))
(.f64 kx (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (pow.f64 ky #s(literal 8 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 6 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 ky #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (*.f64 ky ky)))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) kx)
(.f64 (sin.f64 th) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) kx))
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx)) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky))) kx)
(/ (- (+ (* 1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx)) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)))) kx)
(/ (- (+ (* -1/8 (/ (* (pow ky 6) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 6))) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (+ (* -1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))))) kx)
(/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 ky #s(literal 6 binary64)) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 kx #s(literal 6 binary64)))) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)))) (pow.f64 kx #s(literal 4 binary64))))) kx)
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) kx)
(.f64 (sin.f64 th) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) kx))
(* -1 (/ (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx)) (.f64 (sin.f64 th) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* -1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4)))) (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2)))) kx))
(/.f64 (fma.f64 (sin.f64 th) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)))) (pow.f64 kx #s(literal 4 binary64))))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (* 1/8 (/ (* (pow ky 6) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 2))) (* 1/4 (/ (* (pow ky 4) (* (sin th) (+ ky (* -1/6 (pow ky 3))))) (pow kx 4))))) kx))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 ky #s(literal 6 binary64)) (/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (pow.f64 kx #s(literal 6 binary64))))) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 kx kx)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)))) (pow.f64 kx #s(literal 4 binary64))))) (neg.f64 kx))
(/ (* th (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 th th) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx))))
(* th (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(* th (+ (* -1/6 (/ (pow ky 3) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))) (* 1/120 (/ (+ ky (* -1/6 (pow ky 3))) (+ kx (* 1/2 (/ (pow ky 2) kx))))))))) (/ ky (+ kx (* 1/2 (/ (pow ky 2) kx)))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)))))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(/ (* (sin th) (+ ky (* -1/6 (pow ky 3)))) (+ kx (* 1/2 (/ (pow ky 2) kx))))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)
(+ ky (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow ky 3))) (* 1/2 (/ 1 ky)))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 kx kx) (.f64 ky (.f64 ky ky))) (/.f64 #s(literal 1/2 binary64) ky)) ky)
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow ky 5))) (* 1/8 (/ 1 (pow ky 3))))) (* 1/2 (/ 1 ky)))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 kx kx) (pow.f64 ky #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal 1/2 binary64) ky)) ky)
kx
(* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 kx kx)) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(fma.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(fma.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) kx)
(* -1 kx)
(neg.f64 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow ky 2) (pow kx 2))))))
(neg.f64 (fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 kx kx)) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (* 1/2 (/ (pow ky 2) (pow kx 2)))))))
(neg.f64 (fma.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow ky 4) (pow kx 4))) (+ (* 1/16 (/ (pow ky 6) (pow kx 6))) (* 1/2 (/ (pow ky 2) (pow kx 2))))))))
(neg.f64 (fma.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(+ kx (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow kx 3))) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 ky ky) (.f64 kx (.f64 kx kx))) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow kx 5))) (* 1/8 (/ 1 (pow kx 3))))) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 ky ky) (pow.f64 kx #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 kx (*.f64 kx kx)))) (/.f64 #s(literal 1/2 binary64) kx)) kx)
ky
(* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2)))))
(fma.f64 ky (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (*.f64 ky ky)) ky)
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 kx kx) (.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky)
(* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(fma.f64 ky (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 kx kx) (.f64 ky ky)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64))))) ky)
(* -1 ky)
(neg.f64 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow kx 2) (pow ky 2))))))
(neg.f64 (fma.f64 ky (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (*.f64 ky ky)) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (* 1/2 (/ (pow kx 2) (pow ky 2)))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 kx kx) (.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow kx 4) (pow ky 4))) (+ (* 1/16 (/ (pow kx 6) (pow ky 6))) (* 1/2 (/ (pow kx 2) (pow ky 2))))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 kx kx) (.f64 ky ky)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64))))) ky))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 3/8 (/ (sin th) (pow kx 5))))))))) (/ (sin th) kx)))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 3/8 (/ (sin th) (pow kx 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow kx 7))) (+ (* -1/16 (/ (sin th) (pow kx 5))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
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(/ (* (sin ky) (sin th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
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(* -1 (/ (* (sin ky) (sin th)) ky))
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(* -1 (/ (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
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(/ (* (sin ky) (sin th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 5))))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 ky #s(literal 5 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 7))) (* 3/8 (/ (* (sin ky) (sin th)) (pow ky 5))))))) (/ (* (sin ky) (sin th)) ky))
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(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx)
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(* -1 (/ (* (sin ky) (sin th)) kx))
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(* -1 (/ (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))) kx))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th)))) kx))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow ky 2) (* (sin ky) (sin th))) (pow kx 2))) (* (sin ky) (sin th))))) kx))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow ky 2)))))
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(/ ky kx)
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(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 3/8 (/ 1 (pow kx 5))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 kx)) (+ (* 1/240 (/ 1 (pow kx 3))) (+ (* 1/16 (/ 1 (pow kx 5))) (* 5/16 (/ 1 (pow kx 7)))))))) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (* 3/8 (/ 1 (pow kx 5))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
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(/ (sin ky) ky)
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(/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky)
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(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky)
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(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky)
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(* -1 (/ (sin ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow kx 2) (+ (* -1 (pow kx 4)) (* 1/4 (pow kx 4))))) (pow kx 6))) (pow ky 6))) (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 2)))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (*.f64 ky ky)))) (sin.f64 ky)) (neg.f64 ky))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (.f64 ky (.f64 ky ky))) (/.f64 (sin.f64 ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 3/8 (/ (* (pow kx 2) (sin ky)) (pow ky 5))))) (/ (sin ky) ky))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (.f64 ky (.f64 ky ky))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (pow.f64 ky #s(literal 5 binary64))))) (/.f64 (sin.f64 ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin ky)) (pow ky 7))) (* 3/8 (/ (sin ky) (pow ky 5))))))) (/ (sin ky) ky))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -5/16 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 kx kx)) (pow.f64 ky #s(literal 7 binary64))) (/.f64 (.f64 #s(literal 3/8 binary64) (sin.f64 ky)) (pow.f64 ky #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky)))) (/.f64 (sin.f64 ky) ky))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 ky ky)) (*.f64 kx kx)) (sin.f64 ky)) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 ky ky) (/.f64 (sin.f64 ky) (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (sin.f64 ky)) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (.f64 (sin.f64 ky) (.f64 ky ky)) (*.f64 kx kx)))) (sin.f64 ky)) kx)
(* -1 (/ (sin ky) kx))
(neg.f64 (/.f64 (sin.f64 ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 ky ky)) (*.f64 kx kx)) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 ky ky) (/.f64 (sin.f64 ky) (.f64 kx kx)) (/.f64 (.f64 (sin.f64 ky) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow ky 2) (+ (* -1 (pow ky 4)) (* 1/4 (pow ky 4))))) (pow ky 6))) (pow kx 6))) (* -1/2 (/ (* (pow ky 2) (sin ky)) (pow kx 2)))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (.f64 (sin.f64 ky) (.f64 ky ky)) (*.f64 kx kx)))) (sin.f64 ky)) (neg.f64 kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 ky (.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (pow ky 2) (pow kx 2))
(/.f64 (.f64 ky ky) (.f64 kx kx))
(* (pow ky 2) (+ (* -1/3 (/ (pow ky 2) (pow kx 2))) (/ 1 (pow kx 2))))
(.f64 (.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 #s(literal 1 binary64) (*.f64 kx kx))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* 2/45 (/ (pow ky 2) (pow kx 2))) (* 1/3 (/ 1 (pow kx 2))))) (/ 1 (pow kx 2))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 #s(literal -1/3 binary64) (.f64 kx kx))) (/.f64 #s(literal 1 binary64) (*.f64 kx kx))))
(* (pow ky 2) (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/315 (/ (pow ky 2) (pow kx 2))) (* 2/45 (/ 1 (pow kx 2))))) (* 1/3 (/ 1 (pow kx 2))))) (/ 1 (pow kx 2))))
(.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/315 binary64) (/.f64 (.f64 ky ky) (.f64 kx kx)) (/.f64 #s(literal 2/45 binary64) (.f64 kx kx))) (/.f64 #s(literal -1/3 binary64) (.f64 kx kx))) (/.f64 #s(literal 1 binary64) (*.f64 kx kx))))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(/ (pow (sin ky) 2) (pow kx 2))
(/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))
(* 1/2 (/ (pow (sin ky) 2) kx))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) kx)
(/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)
(/.f64 (fma.f64 kx kx (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) kx)
(/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)
(/.f64 (fma.f64 kx kx (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) kx)
(/ (+ (* 1/2 (pow (sin ky) 2)) (pow kx 2)) kx)
(/.f64 (fma.f64 kx kx (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) kx)
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) kx)
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) kx)
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(fma.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) kx)
kx
(* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))
(.f64 (neg.f64 kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) #s(literal -1 binary64)))
(* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))
(.f64 (neg.f64 kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) #s(literal -1 binary64)))
(* -1 (* kx (- (* -1/2 (/ (pow (sin ky) 2) (pow kx 2))) 1)))
(.f64 (neg.f64 kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) #s(literal -1 binary64)))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)
(+ kx (* (pow ky 2) (+ (* -1/6 (/ (pow ky 2) kx)) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky ky) kx) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/45 (/ (pow ky 2) kx)) (* 1/6 (/ 1 kx)))) (* 1/2 (/ 1 kx)))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (/.f64 (*.f64 ky ky) kx) #s(literal 1/45 binary64) (/.f64 #s(literal -1/6 binary64) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)
(/ (* ky (+ th (* -1/6 (pow th 3)))) kx)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (.f64 th th)) kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (*.f64 kx kx))))) (/.f64 th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))))) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (.f64 th th)) kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) (fma.f64 (.f64 ky ky) (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) kx) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (.f64 kx (.f64 kx kx))))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx)))))) (/.f64 th kx))))
(* ky (+ (* -1/6 (/ (pow th 3) kx)) (+ (* (pow ky 2) (- (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (* (pow ky 2) (- (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))) (+ (* 1/45 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* 1/120 (/ (+ th (* -1/6 (pow th 3))) kx)) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))) (pow kx 2)))))))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))) (* 1/2 (/ (- (* -1/6 (/ (+ th (* -1/6 (pow th 3))) kx)) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3)))) (pow kx 2))))))) (* 1/2 (/ (+ th (* -1/6 (pow th 3))) (pow kx 3))))) (/ th kx))))
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(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))
(* 2 (/ (* kx (+ th (* -1/6 (pow th 3)))) (sin ky)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(* kx (+ (* -4 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 3))) (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky)))))
(.f64 kx (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (sin.f64 ky))))
(* kx (+ (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky))) (* (pow kx 2) (- (* 8 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 5))) (* 4 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 3)))))))
(.f64 kx (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (sin.f64 ky)) (.f64 (.f64 kx kx) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))))
(* kx (+ (* 2 (/ (+ th (* -1/6 (pow th 3))) (sin ky))) (* (pow kx 2) (- (* (pow kx 2) (- (* -16 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 7))) (* -8 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 5))))) (* 4 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 3)))))))
(.f64 kx (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (sin.f64 ky)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx kx))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th))) kx)
(/ (- (+ (* 1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx kx))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)))) kx)
(/ (- (+ (* -1/8 (/ (* (pow (sin ky) 7) (+ th (* -1/6 (pow th 3)))) (pow kx 6))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (+ (* -1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))))) kx)
(/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (pow.f64 kx #s(literal 6 binary64))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 kx #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx kx)))))) kx)
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) kx)
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(* -1 (/ (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx kx)))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* -1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4)))) (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2)))) kx))
(/.f64 (fma.f64 (sin.f64 ky) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 kx #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx kx)))))) (neg.f64 kx))
(* -1 (/ (- (+ (* -1 (* (sin ky) (+ th (* -1/6 (pow th 3))))) (* 1/8 (/ (* (pow (sin ky) 7) (+ th (* -1/6 (pow th 3)))) (pow kx 6)))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (+ th (* -1/6 (pow th 3)))) (pow kx 2))) (* 1/4 (/ (* (pow (sin ky) 5) (+ th (* -1/6 (pow th 3)))) (pow kx 4))))) kx))
(/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (pow.f64 kx #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (neg.f64 (sin.f64 ky)))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx kx))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 kx #s(literal 4 binary64)))))) (neg.f64 kx))
(/ (* th (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))))
(* -1/6 (/ (* (pow th 3) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th (.f64 th th)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))
(.f64 (.f64 th (.f64 th th)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)) (/.f64 (sin.f64 ky) (.f64 (*.f64 th th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))))
(* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))
(.f64 (.f64 th (.f64 th th)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)) (/.f64 (sin.f64 ky) (.f64 (*.f64 th th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))))
(* (pow th 3) (+ (* -1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))) (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))))
(.f64 (.f64 th (.f64 th th)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)) (/.f64 (sin.f64 ky) (.f64 (*.f64 th th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)))))
(* -1/6 (/ (* (pow th 3) (sin ky)) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th (.f64 th th)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))
(neg.f64 (.f64 (.f64 th (.f64 th th)) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)) (/.f64 (sin.f64 ky) (.f64 (.f64 th th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))
(neg.f64 (.f64 (.f64 th (.f64 th th)) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)) (/.f64 (sin.f64 ky) (.f64 (.f64 th th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (* (pow th 2) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx)))))) (* 1/6 (/ (sin ky) (+ kx (* 1/2 (/ (pow (sin ky) 2) kx))))))))
(neg.f64 (.f64 (.f64 th (.f64 th th)) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx)) (/.f64 (sin.f64 ky) (.f64 (.f64 th th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))))))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))

simplify232.0ms (1.9%)

Memory

-27.6MiB live, 293.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1628	28400
1	1629	28400
0	1629	28400

Stop Event

1×	saturated
1×	saturated

Counts

686 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 (neg.f64 (log.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 1/2 binary64)))
(exp.f64 (.f64 (log.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 -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.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)))
(fabs.f64 (sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (sqrt.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 1 binary64) (sqrt.f64 (neg.f64 (neg.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 1 binary64) (neg.f64 (neg.f64 (sqrt.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 -1 binary64) (neg.f64 (sqrt.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.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 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.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)))))))))
(pow.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 -1/2 binary64))
(pow.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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))
(pow.f64 (pow.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 -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 #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))))))) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1 binary64))
(.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (pow.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 -1/4 binary64)) (pow.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 -1/4 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.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 (-.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))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.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 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 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.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 (sqrt.f64 (sqrt.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sqrt.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (-.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.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 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (sqrt.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 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (sqrt.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 1 binary64) (/.f64 (sqrt.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 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.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 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sqrt.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 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.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 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) (.f64 (sqrt.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 (.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sqrt.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 (neg.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.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 (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.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 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.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 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (sqrt.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))) (neg.f64 (.f64 (sqrt.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))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 ky) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 ky) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (sin.f64 ky) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (.f64 (sin.f64 ky) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx) (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))) #s(literal -1 binary64))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 (sin.f64 ky) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (*.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (fma.f64 kx (.f64 kx kx) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 3 binary64)))) (fma.f64 kx (-.f64 kx (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx))) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (*.f64 kx kx)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 ky) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx))) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (*.f64 kx kx)) kx))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (.f64 kx kx) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 3 binary64)))) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 #s(literal 1 binary64) (fma.f64 kx (-.f64 kx (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx))) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx))) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) kx))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 (/.f64 (fma.f64 th (.f64 th th) (.f64 (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))) #s(literal 1/36 binary64) (.f64 th (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))) #s(literal 1/36 binary64)) (.f64 th th)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (fma.f64 th (.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (*.f64 kx #s(literal 1/2 binary64)) kx)) (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (fma.f64 kx (.f64 kx kx) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 3 binary64)))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (fma.f64 kx (-.f64 kx (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx))) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx #s(literal 1/2 binary64))) (.f64 kx kx)) kx))))
(.f64 (/.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (.f64 kx kx)) (.f64 kx #s(literal 1/2 binary64)) kx)))
(.f64 th (.f64 th #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(.f64 (.f64 th th) #s(literal -1/6 binary64))
(.f64 (.f64 th #s(literal -1/6 binary64)) th)

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

eval112.0ms (0.9%)

Memory: 31.1MiB live, 214.7MiB allocated
Compiler: Compiled 25 173 to 1 109 computations (95.6% saved)

prune105.0ms (0.9%)

Memory

-2.8MiB live, 238.7MiB allocated

Pruning

71 alts after pruning (62 fresh and 9 done)

	Pruned	Kept	Total
New	909	21	930
Fresh	5	41	46
Picked	2	3	5
Done	0	6	6
Total	916	71	987

Accuracy

99.9%

Counts

987 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
✓	17.7%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
	3.9%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
	21.2%	(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
	13.8%	(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
	23.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
	17.5%	(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
	17.1%	(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
	15.8%	(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
	16.2%	(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
	32.6%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	22.0%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	2.5%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
	5.4%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
	25.1%	(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
✓	25.5%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
	16.9%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
	37.0%	(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
	2.4%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
	45.0%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
	26.9%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
	57.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th))
	57.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	39.7%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓	59.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
✓	90.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	21.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
	21.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
	39.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	13.6%	(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
	27.2%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	36.9%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	26.3%	(*.f64 (/.f64 ky kx) (sin.f64 th))
	34.7%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	34.9%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
	35.7%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	41.2%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
✓	86.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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))))))
	10.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
	27.8%	(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
	35.2%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	43.6%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
✓	89.6%	(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))
	10.0%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
	25.2%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
	19.1%	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
	30.7%	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
	25.8%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	17.0%	(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
	3.0%	(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
	8.3%	(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
	48.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
	21.1%	(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
	27.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	51.1%	(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
	19.5%	(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
	17.7%	(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	26.0%	(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	20.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	26.5%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	51.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky)))
	33.4%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	31.8%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	29.1%	(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	24.7%	(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
	20.2%	(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
	3.0%	(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
✓	12.7%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
	13.4%	(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
✓	27.9%	(sin.f64 th)

Compiler

Compiled 3 274 to 1 291 computations (60.6% saved)

regimes313.0ms (2.6%)

Memory

-23.7MiB live, 424.4MiB allocated

Counts

95 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 (.f64 (fma.f64 kx (.f64 kx #s(literal -1/3 binary64)) #s(literal 1 binary64)) kx) kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 (.f64 kx kx) (fma.f64 kx (.f64 kx (fma.f64 kx (*.f64 kx #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx (.f64 kx (fma.f64 kx (.f64 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.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) th))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 (.f64 ky ky) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (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)))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(.f64 ky (fma.f64 ky (/.f64 (.f64 ky (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Calls

9 calls:

70.0ms	ky
43.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
33.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
28.0ms	th
26.0ms	(sin.f64 th)

Results

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes236.0ms (2%)

Memory

43.3MiB live, 396.4MiB allocated

Counts

84 → 5

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 (.f64 (fma.f64 kx (.f64 kx #s(literal -1/3 binary64)) #s(literal 1 binary64)) kx) kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 (.f64 kx kx) (fma.f64 kx (.f64 kx (fma.f64 kx (*.f64 kx #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx (.f64 kx (fma.f64 kx (.f64 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.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

Calls

9 calls:

33.0ms	ky
29.0ms	th
27.0ms	kx
25.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
25.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
80.9%	2	`kx`
76.5%	3	`ky`
77.4%	2	`th`
74.0%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
88.5%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
75.4%	3	`(sin.f64 ky)`
80.8%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
80.9%	3	`(sin.f64 kx)`
78.4%	3	`(sin.f64 th)`

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes38.0ms (0.3%)

Memory

0.3MiB live, 37.3MiB allocated

Counts

78 → 5

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

Calls

1 calls:

34.0ms

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

Results

Accuracy	Segments	Branch
88.4%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes69.0ms (0.6%)

Memory

-20.4MiB live, 63.6MiB allocated

Counts

74 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))

Calls

2 calls:

37.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
27.0ms	kx

Results

Accuracy	Segments	Branch
80.9%	2	`kx`
81.0%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes32.0ms (0.3%)

Memory

-2.0MiB live, 35.4MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))

Calls

1 calls:

28.0ms

kx

Results

Accuracy	Segments	Branch
80.9%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes156.0ms (1.3%)

Memory

18.6MiB live, 138.5MiB allocated

Counts

70 → 4

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(fma.f64 kx (/.f64 (.f64 kx (.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

Calls

5 calls:

53.0ms	th
34.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
28.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
19.0ms	(sin.f64 kx)
19.0ms	kx

Results

Accuracy	Segments	Branch
59.3%	1	`th`
78.5%	3	`(sin.f64 kx)`
80.3%	4	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
76.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
76.5%	2	`kx`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes245.0ms (2%)

Memory

-10.4MiB live, 145.8MiB allocated

Counts

68 → 4

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 kx (sin.f64 th)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 kx (sin.f64 th)) (.f64 ky ky)) (/.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (sin.f64 th)) (*.f64 ky ky)))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))

Outputs
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th))
(sin.f64 th)
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

Calls

8 calls:

65.0ms	kx
40.0ms	ky
36.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
27.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
18.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
60.3%	4	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
70.4%	4	`(sin.f64 ky)`
64.8%	3	`ky`
58.1%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
58.1%	2	`kx`
58.1%	3	`(sin.f64 th)`
59.6%	3	`(sin.f64 kx)`
75.3%	4	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes55.0ms (0.5%)

Memory

-7.7MiB live, 68.9MiB allocated

Counts

62 → 4

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) kx))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))

Outputs
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

Calls

2 calls:

25.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
17.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
56.7%	3	`(sin.f64 ky)`
67.7%	4	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes53.0ms (0.4%)

Memory

20.9MiB live, 58.7MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))

Outputs
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)

Calls

2 calls:

36.0ms	ky
14.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
49.7%	2	`ky`
62.6%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes157.0ms (1.3%)

Memory

-3.6MiB live, 164.6MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)

Calls

6 calls:

47.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
46.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
18.0ms	(sin.f64 kx)
15.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
14.0ms	kx

Results

Accuracy	Segments	Branch
49.4%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
53.8%	4	`(sin.f64 kx)`
52.5%	3	`kx`
52.5%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
39.2%	1	`th`
56.7%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 55 to 40 computations (27.3% saved)

regimes30.0ms (0.3%)

Memory

11.6MiB live, 52.8MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))) (/.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) kx) kx)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 ky) kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 th (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (fma.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky ky)) ky)))))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 kx #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))

Outputs
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)

Calls

2 calls:

15.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
13.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
36.9%	1	`(sin.f64 th)`
55.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes81.0ms (0.7%)

Memory

-28.4MiB live, 128.7MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(sin.f64 th)

Calls

7 calls:

19.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
12.0ms	kx
10.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
10.0ms	(sin.f64 kx)
9.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
41.2%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
45.0%	3	`ky`
39.7%	3	`(sin.f64 kx)`
39.0%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
39.0%	2	`kx`
45.7%	3	`(sin.f64 ky)`
45.4%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes10.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 ky ky)))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 kx #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 kx (.f64 ky ky)) (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx (.f64 kx kx))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (.f64 kx (.f64 kx kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) kx))) (sin.f64 th))
(.f64 (/.f64 (fma.f64 (.f64 ky (.f64 ky ky)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))

Outputs
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th))
(sin.f64 th)

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
44.7%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes36.0ms (0.3%)

Memory

-22.4MiB live, 15.8MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))))
(.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th) kx))
(.f64 (/.f64 (sin.f64 ky) (neg.f64 kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) (neg.f64 kx))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 kx (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) th) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (.f64 ky ky))
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))

Outputs
(*.f64 (/.f64 ky kx) (sin.f64 th))
(sin.f64 th)

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
44.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))
(sin.f64 th)
(.f64 #s(literal -1/3 binary64) (.f64 kx (*.f64 ky (sin.f64 th))))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 ky kx)) (sin.f64 th))

Outputs
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(sin.f64 th)

Calls

3 calls:

4.0ms	ky
4.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
4.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
37.0%	2	`ky`
36.9%	2	`(sin.f64 ky)`
41.2%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes64.0ms (0.5%)

Memory

-12.5MiB live, 64.6MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 ky ky) kx) kx))

Outputs
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)

Calls

9 calls:

38.0ms	(sin.f64 kx)
4.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
3.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
3.0ms	ky
3.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
28.4%	2	`(sin.f64 ky)`
28.6%	2	`ky`
28.8%	3	`(sin.f64 kx)`
23.4%	2	`(sin.f64 th)`
28.6%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
28.6%	2	`kx`
28.4%	2	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
23.3%	2	`th`
31.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))

Outputs
(/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)) th)) kx)
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
29.2%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes21.0ms (0.2%)

Memory

-13.3MiB live, 28.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))

(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)

(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)

Outputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)

Calls

7 calls:

8.0ms	(sin.f64 ky)
2.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
2.0ms	ky
2.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
2.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
23.5%	3	`(sin.f64 kx)`
26.6%	2	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
22.2%	2	`(sin.f64 ky)`
23.3%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
23.3%	2	`kx`
21.9%	2	`ky`
26.2%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)

Outputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
26.2%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
26.1%	2	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes14.0ms (0.1%)

Memory

-4.1MiB live, 34.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))

Outputs
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
12.7%	1	`(sin.f64 kx)`
12.7%	1	`ky`
12.7%	1	`(sin.f64 ky)`
12.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
12.7%	1	`kx`
12.7%	1	`th`
12.7%	1	`(sin.f64 th)`
12.7%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
12.7%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 69 to 51 computations (26.1% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999103017674444	0.9999999356764446
0.0ms	8.113034232654834e-10	2.582069725759248e-9
0.0ms	-0.6163978074564356	-0.4569536173978539
0.0ms	-0.9997904651780785	-0.9997432494899824

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999103017674444	0.9999999356764446
0.0ms	8.113034232654834e-10	2.582069725759248e-9
0.0ms	-0.6163978074564356	-0.4569536173978539
0.0ms	-0.9997904651780785	-0.9997432494899824

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch24.0ms (0.2%)

Memory

10.9MiB live, 47.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.021660067291304836	19.65987458377834

Samples

17.0ms

128×

valid

Compiler

Compiled 270 to 202 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (52.4% of total)

ival-pow2: 2.0ms (17.5% of total)

ival-div: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

ival-mult: 1.0ms (8.7% of total)

ival-sqrt: 1.0ms (8.7% of total)

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

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

bsearch1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.021660067291304836	19.65987458377834

Compiler

Compiled 270 to 202 computations (25.2% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.999103017674444	0.9999999356764446
0.0ms	0.000526720261201724	0.14048958676242562
0.0ms	-0.23305483774318783	8.684006036942801e-308

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.000526720261201724	0.14048958676242562
0.0ms	-0.23305483774318783	8.684006036942801e-308

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.14048958676242562	0.18345371367476682
0.0ms	-0.9997432494899824	-0.9717923863613452

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch2.0ms (0%)

Memory

-35.6MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.14048958676242562	0.18345371367476682
0.0ms	-0.9997432494899824	-0.9717923863613452

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14048958676242562	0.18345371367476682

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000526720261201724	0.14048958676242562

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.582069725759248e-9	0.000526720261201724

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.582069725759248e-9	0.000526720261201724

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.582069725759248e-9	0.000526720261201724

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.582069725759248e-9	0.000526720261201724

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.582069725759248e-9	0.000526720261201724

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.260799437143493e-16	3.5645673072875773e-13

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.424877e-318	2.1456078565600143e-308

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch11.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.939554867931471e-34	1.7375227554280113e-31

Samples

6.0ms

112×

valid

Compiler

Compiled 183 to 131 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sin: 2.0ms (59.4% of total)

ival-mult: 1.0ms (29.7% of total)

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

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

simplify18.0ms (0.2%)

Memory

-21.1MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1020
1	173	1020

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -9004947454927307/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -9004947454927307/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))))))
(if (<=.f64 kx #s(literal 7349874591868649/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(if (<=.f64 kx #s(literal 7349874591868649/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (.f64 th th)) kx) (/.f64 th kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(if (<=.f64 (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2740315569995443/365375409332725729550921208179070754913983135744 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -9004947454927307/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -9004947454927307/9007199254740992 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -9004947454927307/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -9004947454927307/9007199254740992 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))))))))
(if (<=.f64 kx #s(literal 7349874591868649/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(if (<=.f64 kx #s(literal 7349874591868649/288230376151711744 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(if (<=.f64 kx #s(literal 7349874591868649/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)))
(if (<=.f64 kx #s(literal 7349874591868649/288230376151711744 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (sin.f64 th) (/.f64 (fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (.f64 (sin.f64 th) (/.f64 (fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/3 binary64)) ky)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (.f64 (sin.f64 th) (/.f64 (fma.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 kx (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (.f64 (/.f64 (fma.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (.f64 (sin.f64 th) (/.f64 (fma.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 kx (sin.f64 ky)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5404319552844595/36028797018963968 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 (sin.f64 th) (/.f64 (fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky) (fma.f64 (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (*.f64 th th)) kx) (/.f64 th kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (.f64 th th)) kx) (/.f64 th kx))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)) th)) kx) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(if (<=.f64 (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #s(literal 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (fma.f64 th (.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2740315569995443/365375409332725729550921208179070754913983135744 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (fma.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))

soundness1.2s (10.4%)

Memory

16.1MiB live, 1 533.4MiB allocated

Rules

11 882×	`lower-fma.f64`
11 882×	`lower-fma.f32`
10 234×	`lower-fma.f64`
10 234×	`lower-fma.f32`
8 428×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	897	7943
1	2963	7749
0	8476	7233
0	888	8528
1	2975	8208
0	8148	7610
0	1111	9155
1	3708	9016
0	8240	8452
0	242	1598
1	741	1550
2	2744	1481
3	7651	1481
0	8035	1353

Stop Event

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

Compiler

Compiled 2 509 to 1 121 computations (55.3% saved)

preprocess195.0ms (1.6%)

Memory

-9.1MiB live, 224.9MiB allocated

Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 2 168 to 356 computations (83.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	257
0	63	242
1	103	242
2	167	239
3	270	239
4	422	239
5	557	239
6	740	239
7	767	239
8	789	239
9	798	239
10	798	239
11	798	239
12	842	239
13	891	239
0	891	235

Iter	Nodes	Cost
0	33	257
0	63	242
1	103	242
2	167	239
3	270	239
4	422	239
5	557	239
6	740	239
7	767	239
8	789	239
9	798	239
10	798	239
11	798	239
12	842	239
13	891	239
0	891	235

Iter	Nodes	Cost
0	33	257
0	63	242
1	103	242
2	167	239
3	270	239
4	422	239
5	557	239
6	740	239
7	767	239
8	789	239
9	798	239
10	798	239
11	798	239
12	842	239
13	891	239
0	891	235