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

analyze227.0ms (1.8%)

Memory

-12.1MiB live, 362.2MiB 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)

sample1.5s (11.8%)

Memory

17.2MiB live, 2 497.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 981.0ms

ival-sin: 583.0ms (59.4% of total)

ival-pow2: 174.0ms (17.7% of total)

ival-mult: 67.0ms (6.8% of total)

ival-sqrt: 59.0ms (6% of total)

ival-div: 52.0ms (5.3% of total)

ival-add: 36.0ms (3.7% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

preprocess78.0ms (0.6%)

Memory

-1.5MiB live, 42.2MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	104	163
2	212	163
3	384	163
4	831	163
5	1947	163
6	2502	163
7	2779	163
8	2891	163
9	2941	163
10	2956	163
11	2956	163
0	13	16
1	19	16
2	23	16
3	24	16
0	24	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

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

Call 2

Inputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))

Outputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(/ (* (sin ky) (neg (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(/ (* (sin ky) (neg (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(/ (* (sin ky) (neg (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(/ (* (sin kx) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(/ (* (sin ky) (sin kx)) (sqrt (+ (pow (sin ky) 2) (pow (sin th) 2))))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2))))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain192.0ms (1.5%)

Memory

-0.1MiB live, 357.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	-	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	-	`(sin.f64 kx)`
0	-	-	`(sin.f64 th)`
0	-	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
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	-	-	`th`
0	-	-	`#s(literal 2 binary64)`
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	-	-	`(sin.f64 ky)`
0	-	-	`ky`
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	13	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	63
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	72
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	13

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions

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

ival-sin: 34.0ms (56.4% of total)

ival-pow2: 9.0ms (14.9% of total)

ival-div: 8.0ms (13.3% of total)

ival-sqrt: 4.0ms (6.6% of total)

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

ival-add: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(*.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)

simplify4.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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×	`-lowering-.f32`
16×	`-lowering-.f64`
6×	`*-commutative`
6×	`sin-lowering-sin.f64`
6×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	19	66
2	23	66
3	24	66
0	24	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin ky)
ky
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(pow (sin kx) 2)
(sin kx)
kx
2
(pow (sin ky) 2)
(sin th)
th

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

localize53.0ms (0.4%)

Memory

17.6MiB live, 55.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.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	99.7%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.1%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 16.0ms (57.4% of total)

ival-pow2: 4.0ms (14.3% of total)

ival-mult: 3.0ms (10.8% of total)

ival-div: 2.0ms (7.2% of total)

ival-sqrt: 2.0ms (7.2% of total)

ival-add: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory

9.5MiB live, 49.7MiB allocated

Counts

6 → 120

Calls

Call 1

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

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 (/ (* 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 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)>
#<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 (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>

Calls

30 calls:

Time	Variable		Point	Expression
14.0ms	kx	@	-inf	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
3.0ms	ky	@	0	(pow (sin ky) 2)
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))

rewrite376.0ms (2.9%)

Memory

-41.6MiB live, 507.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`accelerator-lowering-fma.f32`
4 346×	`accelerator-lowering-fma.f64`
3 626×	`-lowering-.f32`
3 626×	`-lowering-.f64`
2 248×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	53	49
2	329	49
3	2893	49
0	8275	34

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 294

Calls

Call 1

Inputs
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin ky)
(pow (sin ky) 2)
(pow (sin kx) 2)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (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 (.f64 (log.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)))
(exp.f64 (.f64 (log.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 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.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 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.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 1/4 binary64) (.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 1/4 binary64))))
(exp.f64 (neg.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 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (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 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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))))
(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 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)))
(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)))
(-.f64 #s(literal 0 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))))))))
(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))))))
(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 (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))
(/.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))))))) #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 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 (/.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 #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 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (-.f64 (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 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (+.f64 (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 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 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (+.f64 ky ky))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.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))
(+.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 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 kx))) #s(literal 4 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) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (+.f64 kx kx))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.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))
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 kx)))

simplify430.0ms (3.4%)

Memory

23.5MiB live, 771.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 278×	`accelerator-lowering-fma.f32`
14 278×	`accelerator-lowering-fma.f64`
6 260×	`-lowering-.f32`
6 260×	`-lowering-.f64`
5 352×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2263
1	1011	2214
2	3860	2122
3	7803	2122
0	8106	1974

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)))
(/ (* 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)))))
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 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)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)

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

eval61.0ms (0.5%)

Memory: -31.4MiB live, 123.1MiB allocated
Compiler: Compiled 12 751 to 1 678 computations (86.8% saved)

prune120.0ms (0.9%)

Memory

12.7MiB live, 133.6MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	427	23	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	428	23	451

Accuracy

100.0%

Counts

451 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.5%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
	74.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (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)))))))
	27.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	73.8%	(/.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)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
	28.5%	(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
	36.6%	(.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))))))))
	74.1%	(.f64 (/.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 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
	74.2%	(.f64 (/.f64 (sin.f64 th) (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))
	30.7%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th))
	42.6%	(.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
	73.5%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th))
▶	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	74.4%	(.f64 (/.f64 (sin.f64 ky) (/.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))))))) (sin.f64 th))
▶	74.2%	(.f64 (/.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))))))) (sin.f64 th))
	49.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 ky ky)))) (sin.f64 th))
	56.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	31.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	29.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	74.1%	(.f64 (.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)) (sin.f64 th))
▶	74.0%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
	74.0%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
	73.7%	(.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 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
▶	35.1%	(sin.f64 th)

Compiler

Compiled 1 010 to 710 computations (29.7% saved)

simplify289.0ms (2.3%)

Memory

18.8MiB live, 213.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	384	(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)))))
✓	cost-diff	448	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
✓	cost-diff	0	(/.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)))))))
✓	cost-diff	0	(.f64 (/.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))))))) (sin.f64 th))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	384	(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)))))
✓	cost-diff	0	(/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
✓	cost-diff	6400	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
✓	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

4 968×	`accelerator-lowering-fma.f32`
4 968×	`accelerator-lowering-fma.f64`
3 452×	`-lowering-.f32`
3 452×	`-lowering-.f64`
1 440×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	355
1	77	355
2	166	338
3	398	322
4	681	322
5	1552	322
6	3235	322
7	5705	322
8	6178	322
9	6387	322
10	6773	322
11	6873	322
12	7092	322
13	7715	322
14	7788	322
15	7788	322
0	8062	293

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin ky)
ky
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx
(sin th)
th
(sin th)
th
(+ (* (* -1/2 (sin th)) (/ (* kx kx) (pow (sin ky) 2))) (sin th))
(* -1/2 (sin th))
-1/2
(sin th)
th
(/ (* kx kx) (pow (sin ky) 2))
(* kx kx)
kx
(pow (sin ky) 2)
(sin ky)
ky
2
(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))
(/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))
(sin ky)
ky
(sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))
(+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))
(- 1 (cos (+ ky ky)))
1
(cos (+ ky ky))
(+ ky ky)
1/2
(+ 1/2 (* -1/2 (cos (+ kx kx))))
(* -1/2 (cos (+ kx kx)))
-1/2
(cos (+ kx kx))
(+ kx kx)
kx
(sin th)
th
(* (* (sin th) (neg (sin ky))) (/ -1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))))
(* (sin th) (neg (sin ky)))
(sin th)
th
(neg (sin ky))
(sin ky)
ky
(/ -1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))
-1
(sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))
(+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))
(- 1 (cos (+ ky ky)))
1
(cos (+ ky ky))
(+ ky ky)
1/2
(+ 1/2 (* -1/2 (cos (+ kx kx))))
(* -1/2 (cos (+ kx kx)))
-1/2
(cos (+ kx kx))
(+ kx kx)
kx

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

localize360.0ms (2.8%)

Memory

2.3MiB live, 279.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.7%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
✓	accuracy	95.1%	(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))))))
✓	accuracy	77.5%	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
✓	accuracy	75.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	99.8%	(.f64 (/.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))))))) (sin.f64 th))
✓	accuracy	95.1%	(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))))))
✓	accuracy	77.5%	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
✓	accuracy	75.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.1%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
✓	accuracy	86.7%	(/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Samples

163.0ms	104×	2	valid
54.0ms	86×	1	valid
23.0ms	61×	0	valid
6.0ms	5×	3	valid

Compiler

Compiled 333 to 38 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-cos: 50.0ms (26.5% of total)

ival-mult: 40.0ms (21.2% of total)

ival-sqrt: 29.0ms (15.4% of total)

ival-sin: 23.0ms (12.2% of total)

ival-div: 11.0ms (5.8% of total)

adjust: 10.0ms (5.3% of total)

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

ival-hypot: 6.0ms (3.2% of total)

ival-pow2: 4.0ms (2.1% of total)

ival-sub: 3.0ms (1.6% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series105.0ms (0.8%)

Memory

0.3MiB live, 81.5MiB allocated

Counts

17 → 384

Calls

Call 1

Inputs
#<alt (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sin ky)>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (sin th)>
#<alt (+ (* (* -1/2 (sin th)) (/ (* kx kx) (pow (sin ky) 2))) (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (/ (* kx kx) (pow (sin ky) 2))>
#<alt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (+ kx kx))))>
#<alt (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))>
#<alt (* (* (sin th) (neg (sin ky))) (/ -1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))))>
#<alt (* (sin th) (neg (sin ky)))>
#<alt (pow (sin ky) 2)>
#<alt (- 1 (cos (+ ky ky)))>
#<alt (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))>

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 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 kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
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#<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)))>
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#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<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)))>
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#<alt th>
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#<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)>
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#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
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#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (sin th)>
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#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
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#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* 1/2 (* (pow ky 2) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (* (pow kx 2) (sin th))) (+ (* 2/135 (* (pow kx 2) (sin th))) (* 1/3 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))) (* 1/2 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))))) (pow ky 2))>
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#<alt (* -1/2 th)>
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#<alt (* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))>
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#<alt (/ (pow kx 2) (pow (sin ky) 2))>
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#<alt (/ (pow kx 2) (pow ky 2))>
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#<alt (/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))>
#<alt (/ (pow kx 2) (pow (sin ky) 2))>
#<alt (/ (pow kx 2) (pow (sin ky) 2))>
#<alt (/ (pow kx 2) (pow (sin ky) 2))>
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#<alt (/ (pow kx 2) (pow (sin ky) 2))>
#<alt (/ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (* 1/2 (- 1 (cos (* 2 ky))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
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#<alt (* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky))))))>
#<alt (* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* ky (sin th)))>
#<alt (* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))>
#<alt (* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<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 (* 2 (pow ky 2))>
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))>
#<alt (+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>

Calls

96 calls:

Time	Variable		Point	Expression
31.0ms	th	@	inf	(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))
22.0ms	ky	@	inf	(+ (* (* -1/2 (sin th)) (/ (* kx kx) (pow (sin ky) 2))) (sin th))
9.0ms	kx	@	0	(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))
3.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))
1.0ms	ky	@	-inf	(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))

rewrite111.0ms (0.9%)

Memory

-22.2MiB live, 133.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

818×	`-lowering-.f32`
818×	`-lowering-.f64`
796×	`accelerator-lowering-fma.f32`
796×	`accelerator-lowering-fma.f64`
656×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	203
1	210	175
0	1806	154

Stop Event

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

Counts

17 → 307

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin ky)
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin th)
(+ (* (* -1/2 (sin th)) (/ (* kx kx) (pow (sin ky) 2))) (sin th))
(* -1/2 (sin th))
(/ (* kx kx) (pow (sin ky) 2))
(+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))
(+ 1/2 (* -1/2 (cos (+ kx kx))))
(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin th))
(/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))
(* (* (sin th) (neg (sin ky))) (/ -1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))))
(* (sin th) (neg (sin ky)))
(pow (sin ky) 2)
(- 1 (cos (+ ky ky)))
(sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))

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

simplify447.0ms (3.5%)

Memory

34.9MiB live, 582.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 410×	`accelerator-lowering-fma.f32`
8 410×	`accelerator-lowering-fma.f64`
6 280×	`+-lowering-+.f64`
6 280×	`+-lowering-+.f32`
6 162×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	9777
1	2683	9400
2	6787	9377
0	8147	8689

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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)))))
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 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)))
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)
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* 1/2 (* (pow ky 2) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (* (pow kx 2) (sin th))) (+ (* 2/135 (* (pow kx 2) (sin th))) (* 1/3 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))) (* 1/2 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))))) (pow ky 2))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(/ (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 ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow 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))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(* 1/2 (- 1 (cos (* 2 ky))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* -1 (* th (sin ky)))
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky)))))
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky))))))
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* ky (sin th)))
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(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)
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))

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) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 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 (.f64 ky ky) (fma.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 #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 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 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 (.f64 ky ky) (fma.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)))) (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) (.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 #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 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 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 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 kx kx) (/.f64 (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 #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 (sin.f64 th) #s(literal -1/2 binary64)) (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 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.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))))))))) (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))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (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 (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 1/120 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (*.f64 #s(literal -1/6 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)))))) (* (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 (.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 (.f64 #s(literal -1/6 binary64) (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 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 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.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) (fma.f64 (.f64 ky ky) (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 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))) (/.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) (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 (fma.f64 (.f64 #s(literal -1/12 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 -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal -1/5040 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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.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 #s(literal 1/2 binary64) (*.f64 (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))))))
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))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(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)
(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 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (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))))) (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 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #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))
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))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(fma.f64 th (.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))) 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 th)
(sin.f64 th)
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(fma.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(fma.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 #s(literal -1/240 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(fma.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/10080 binary64) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/120 binary64))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (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 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (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 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
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(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/12 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 ky ky) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/240 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1/12 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))))))) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))
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(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
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(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
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(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
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(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/12 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 ky ky) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/240 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1/12 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* -1 (* th (sin ky)))
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(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))
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(fma.f64 (.f64 ky ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))
(fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))

eval144.0ms (1.1%)

Memory: 2.2MiB live, 279.8MiB allocated
Compiler: Compiled 27 096 to 2 009 computations (92.6% saved)

prune140.0ms (1.1%)

Memory

22.7MiB live, 372.7MiB allocated

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	946	34	980
Fresh	6	12	18
Picked	1	4	5
Done	0	0	0
Total	953	50	1 003

Accuracy

100.0%

Counts

1 003 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.1%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
▶	19.3%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
	29.0%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
	15.0%	(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
	17.7%	(fma.f64 th (.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))) th)
	17.7%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
	18.3%	(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
	17.0%	(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
	74.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (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)))))))
	27.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	3.1%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
	73.8%	(/.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)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
	28.5%	(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
	36.6%	(.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))))))))
	74.1%	(.f64 (/.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 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
	74.2%	(.f64 (/.f64 (sin.f64 th) (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))
	73.5%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th))
✓	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	50.5%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
▶	79.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) (sin.f64 th))
	54.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	74.4%	(.f64 (/.f64 (sin.f64 ky) (/.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))))))) (sin.f64 th))
	30.9%	(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
	11.5%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	74.2%	(.f64 (/.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))))))) (sin.f64 th))
	38.2%	(.f64 (/.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))))))) th)
	35.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
	45.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
	29.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
	31.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
	31.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
	31.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	29.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	30.6%	(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
	30.9%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
	3.0%	(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
	30.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	74.0%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
	29.5%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
▶	31.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	30.7%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
	74.0%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
	38.1%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
	27.5%	(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
	27.4%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	73.7%	(.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 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
	11.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
	17.8%	(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	35.1%	(sin.f64 th)
▶	18.3%	th

Compiler

Compiled 2 042 to 1 424 computations (30.3% saved)

simplify258.0ms (2%)

Memory

-9.4MiB live, 439.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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))) th)
✓	cost-diff	0	(neg.f64 (sin.f64 ky))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))
✓	cost-diff	448	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
✓	cost-diff	320	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx))
✓	cost-diff	320	(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))
✓	cost-diff	6400	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky)))))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) (sin.f64 th))
✓	cost-diff	12800	(exp.f64 (log.f64 (sin.f64 ky)))

Rules

5 248×	`accelerator-lowering-fma.f32`
5 248×	`accelerator-lowering-fma.f64`
4 542×	`-lowering-.f32`
4 542×	`-lowering-.f64`
2 372×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	261
1	87	261
2	186	253
3	460	245
4	1100	245
5	1684	245
6	2964	241
7	6889	241
0	8079	197

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky))))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky)))))))
(sin ky)
ky
(sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky))))))
(sin kx)
kx
(exp (log (sin ky)))
(log (sin ky))
(sin th)
th
th
(+ (* (* -1/2 (sin th)) (/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))) (sin th))
(* -1/2 (sin th))
-1/2
(sin th)
th
(/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))
(+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx))
(* 1/3 (* kx kx))
1/3
(* kx kx)
kx
(* ky ky)
ky
(* (* (sin th) (neg (sin ky))) (/ -1 (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))))
(* (sin th) (neg (sin ky)))
(sin th)
th
(neg (sin ky))
(sin ky)
ky
(/ -1 (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2)))
-1
(sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))
(+ (* -1/2 (cos (* kx -2))) 1/2)
-1/2
(cos (* kx -2))
(* kx -2)
kx
-2
1/2
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin ky)
ky
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx
th

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

localize237.0ms (1.9%)

Memory

23.5MiB live, 403.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(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))) th)
✓	accuracy	99.8%	(*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))
✓	accuracy	95.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓	accuracy	81.0%	(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	79.5%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
✓	accuracy	96.2%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
✓	accuracy	83.7%	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx))
✓	accuracy	75.9%	(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))
✓	accuracy	99.9%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky)))))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) (sin.f64 th))
✓	accuracy	99.3%	(log.f64 (sin.f64 ky))
✓	accuracy	95.2%	(exp.f64 (log.f64 (sin.f64 ky)))

Samples

55.0ms	99×	0	valid
51.0ms	58×	2	valid
25.0ms	16×	3	valid
24.0ms	31×	1	valid
23.0ms	50×	0	invalid
3.0ms	2×	4	valid

Compiler

Compiled 221 to 39 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 35.0ms (24.6% of total)

ival-sin: 26.0ms (18.3% of total)

ival-cos: 23.0ms (16.2% of total)

ival-div: 19.0ms (13.4% of total)

ival-hypot: 10.0ms (7% of total)

adjust: 6.0ms (4.2% of total)

ival-add: 5.0ms (3.5% of total)

ival-log: 5.0ms (3.5% of total)

ival-exp: 4.0ms (2.8% of total)

const: 4.0ms (2.8% of total)

ival-sqrt: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series133.0ms (1%)

Memory

-8.8MiB live, 154.4MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (exp (log (sin ky)))>
#<alt (* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky))))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky)))))))>
#<alt (sin ky)>
#<alt (+ (* (* -1/2 (sin th)) (/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))) (sin th))>
#<alt (/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))>
#<alt (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx))>
#<alt (* -1/2 (sin th))>
#<alt (* (* (sin th) (neg (sin ky))) (/ -1 (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))))>
#<alt (* (sin th) (neg (sin ky)))>
#<alt (sin th)>
#<alt (neg (sin ky))>
#<alt (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)>
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (log (sin ky))>
#<alt (* 1/3 (* kx kx))>
#<alt (+ (* -1/2 (cos (* kx -2))) 1/2)>
#<alt (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))>
#<alt (sin kx)>

Outputs
#<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 (/ (* 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 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 (* th (+ 1 (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) 1/6)))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (+ (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)))))) 1/6)))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (+ (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (* 1/10080 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) 1/5040)))))) 1/6)))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2)))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))>
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#<alt (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2)))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))>
#<alt (+ (sin th) (* -1/6 (* (pow kx 2) (sin th))))>
#<alt (+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))>
#<alt (+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))>
#<alt (+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))>
#<alt (+ (sin th) (* -1/6 (* (pow kx 2) (sin th))))>
#<alt (+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))>
#<alt (+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))>
#<alt (+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))>
#<alt (/ (pow kx 2) (pow ky 2))>
#<alt (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))>
#<alt (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))>
#<alt (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))>
#<alt (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))>
#<alt (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))>
#<alt (* 1/3 (pow kx 2))>
#<alt (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))>
#<alt (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))>
#<alt (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))>
#<alt (pow kx 2)>
#<alt (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))>
#<alt (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))>
#<alt (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))>
#<alt (* 1/3 (* (pow kx 2) (pow ky 2)))>
#<alt (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))>
#<alt (* 1/3 (* (pow kx 2) (pow ky 2)))>
#<alt (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))>
#<alt (* -1/2 th)>
#<alt (* th (- (* 1/12 (pow th 2)) 1/2))>
#<alt (* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))>
#<alt (* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* -1/2 (sin th))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (* (sin ky) (sin th)))) (* 1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (* (sin ky) (sin th)))) (* 7/360 (* (sin ky) (sin th)))))))) kx)>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))>
#<alt (* -1 (* th (sin ky)))>
#<alt (* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky))))))>
#<alt (* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* ky (sin th)))>
#<alt (* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))>
#<alt (* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<alt (* -1 (* (sin ky) (sin th)))>
#<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 (* -1 ky)>
#<alt (* ky (- (* 1/6 (pow ky 2)) 1))>
#<alt (* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1))>
#<alt (* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt th>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<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 (log ky)>
#<alt (+ (log ky) (* -1/6 (pow ky 2)))>
#<alt (+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))>
#<alt (+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (log (sin ky))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 2))>
#<alt (* 1/3 (pow kx 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 (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))>
#<alt 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 (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))>
#<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)>

Calls

102 calls:

Time	Variable		Point	Expression
41.0ms	ky	@	-inf	(log (sin ky))
40.0ms	ky	@	inf	(log (sin ky))
13.0ms	th	@	0	(+ (* (* -1/2 (sin th)) (/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))) (sin th))
6.0ms	th	@	-inf	(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)
3.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)

rewrite353.0ms (2.8%)

Memory

-37.9MiB live, 529.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 426×	`/-lowering-/.f32`
4 426×	`/-lowering-/.f64`
4 368×	`accelerator-lowering-fma.f32`
4 368×	`accelerator-lowering-fma.f64`
3 976×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	186
1	209	179
2	1467	179
0	8153	147

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 519

Calls

Call 1

Inputs
(exp (log (sin ky)))
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky))))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (exp (log (sin ky))) (exp (log (sin ky)))))))
(sin ky)
(+ (* (* -1/2 (sin th)) (/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))) (sin th))
(/ (+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx)) (* ky ky))
(+ (* (* 1/3 (* kx kx)) (* ky ky)) (* kx kx))
(* -1/2 (sin th))
(* (* (sin th) (neg (sin ky))) (/ -1 (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))))
(* (sin th) (neg (sin ky)))
(sin th)
(neg (sin ky))
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(log (sin ky))
(* 1/3 (* kx kx))
(+ (* -1/2 (cos (* kx -2))) 1/2)
(sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))
(sin kx)

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

simplify515.0ms (4%)

Memory

25.6MiB live, 711.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 434×	`accelerator-lowering-fma.f32`
13 434×	`accelerator-lowering-fma.f64`
9 284×	`-lowering-.f32`
9 284×	`-lowering-.f64`
4 246×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	7008
1	2004	6781
2	7261	6587
0	8352	6155

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
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)
(/ (* 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)))))
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)
(* th (+ 1 (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)))))
(* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (+ (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (+ (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (* 1/10080 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) 1/5040)))))) 1/6)))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))
(* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2)))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2)))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(+ (sin th) (* -1/6 (* (pow kx 2) (sin th))))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(+ (sin th) (* -1/6 (* (pow kx 2) (sin th))))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(/ (pow kx 2) (pow ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(* 1/3 (pow kx 2))
(+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))
(+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))
(+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))
(* 1/3 (pow kx 2))
(+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))
(+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))
(+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2)))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(* (pow kx 2) (+ 1 (* 1/3 (pow ky 2))))
(pow kx 2)
(+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))
(+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))
(+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))
(* 1/3 (* (pow kx 2) (pow ky 2)))
(* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))
(* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))
(* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))
(* 1/3 (* (pow kx 2) (pow ky 2)))
(* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))
(* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))
(* (pow ky 2) (+ (* 1/3 (pow kx 2)) (/ (pow kx 2) (pow ky 2))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* -1/2 (sin th))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (* (sin ky) (sin th)))) (* 1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (* (sin ky) (sin th)))) (* 7/360 (* (sin ky) (sin th)))))))) kx)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))
(* -1 (* th (sin ky)))
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky)))))
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky))))))
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* ky (sin th)))
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
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)
(* -1 ky)
(* ky (- (* 1/6 (pow ky 2)) 1))
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1))
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(/ 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)))
(log ky)
(+ (log ky) (* -1/6 (pow ky 2)))
(+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))
(+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))
(log (sin ky))
(log (sin ky))
(log (sin ky))
(log (sin ky))
(log (sin ky))
(log (sin ky))
(log (sin ky))
(log (sin ky))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(* 1/3 (pow kx 2))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
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))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
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)

Outputs
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky (*.f64 ky ky)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (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)) (.f64 ky (.f64 ky ky)) 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)
(/ (* 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 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 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 (.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 (.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)))) (.f64 (sin.f64 kx) #s(literal 1/2 binary64))) (sin.f64 th) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 ky ky)))) (/.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 ky (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (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))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 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 #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))))) (fma.f64 (.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)))) (.f64 (sin.f64 kx) #s(literal 1/2 binary64))) (sin.f64 th) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky))))) (/.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 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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 (.f64 (sin.f64 th) 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 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.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)))) (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 kx kx)))) (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 kx (.f64 kx (fma.f64 (.f64 (+.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 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.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)))) (.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (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 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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 (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 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 th (.f64 (sin.f64 ky) th)) (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 (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 (.f64 (sin.f64 ky) th))) (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 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 (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) (.f64 th (.f64 (sin.f64 ky) th)) (sin.f64 ky)) (.f64 (.f64 th th) (.f64 (.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 (.f64 (sin.f64 ky) th))) (fma.f64 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 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 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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky) (sin.f64 th)) (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 ky ky) (+.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))) (+ (* 1/2 (* (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 (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.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)))) (.f64 (sin.f64 kx) #s(literal 1/2 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 (.f64 ky ky)) (/.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 (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (.f64 ky ky) (fma.f64 (sin.f64 kx) (fma.f64 (+.f64 (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))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 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))) (+.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 (/.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 (sin.f64 kx) #s(literal 1/2 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 (.f64 ky ky)) (/.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 (.f64 (.f64 #s(literal 1/2 binary64) (.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 (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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))) (.f64 #s(literal 1/2 binary64) (*.f64 (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))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky (*.f64 ky ky)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (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)) (.f64 ky (.f64 ky ky)) 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)
(* th (+ 1 (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)))))
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) 1/6)))))
(fma.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))) th)
(* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (+ (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)))))) 1/6)))))
(fma.f64 th (fma.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) (.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (fma.f64 th (.f64 th #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))))) th)
(* th (+ 1 (+ (* -1/2 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (+ (* 1/12 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) (* (pow th 2) (- (* 1/10080 (/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))) 1/5040)))))) 1/6)))))
(fma.f64 th (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) (fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) #s(literal 1/10080 binary64) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/240 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) #s(literal 1/120 binary64)))) (fma.f64 #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) #s(literal -1/6 binary64))))) th)
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (sin th) (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2)))
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(* -1/2 (/ (* (pow kx 2) (* (sin th) (+ 1 (* 1/3 (pow ky 2))))) (pow ky 2)))
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))) (/ (sin th) (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/.f64 (fma.f64 ky (.f64 ky (sin.f64 th)) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (fma.f64 ky (.f64 ky #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 ky ky))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/.f64 (fma.f64 ky (.f64 ky (sin.f64 th)) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (fma.f64 ky (.f64 ky #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 ky ky))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/.f64 (fma.f64 ky (.f64 ky (sin.f64 th)) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (fma.f64 ky (.f64 ky #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 ky ky))
(+ (sin th) (* -1/6 (* (pow kx 2) (sin th))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (sin.f64 th))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (sin.f64 th))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (sin.f64 th))
(+ (sin th) (* -1/6 (* (pow kx 2) (sin th))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (sin.f64 th))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (sin.f64 th))
(+ (sin th) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* -1/6 (* (pow kx 2) (sin th)))))
(fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (sin.f64 th))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (* (pow kx 2) (+ 1 (* 1/3 (pow ky 2)))) (pow ky 2))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky))))
(/ (pow kx 2) (pow ky 2))
(.f64 kx (/.f64 kx (.f64 ky ky)))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
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(* -1 (* th (sin ky)))
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(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))
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(* -1 (* ky (sin th)))
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(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))
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(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))
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(* -1 (* (sin ky) (sin th)))
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(* -1 (* (sin ky) (sin th)))
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(* -1 (* (sin ky) (sin th)))
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(* th (+ 1 (* -1/6 (pow th 2))))
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(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
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(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
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(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)
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(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
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(* ky (- (* 1/6 (pow ky 2)) 1))
(.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1))
(.f64 ky (fma.f64 ky (.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1))
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(* -1 (sin ky))
(neg.f64 (sin.f64 ky))
(* -1 (sin ky))
(neg.f64 (sin.f64 ky))
(* -1 (sin ky))
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(* -1 (sin ky))
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(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
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(* (* th (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)))))
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(* (* th (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)))))
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(* (* 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 (sin.f64 ky) th))
(* (* 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 (sin.f64 ky) th))
(* (* th (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)))))
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th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(fma.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th)
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
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(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 kx (.f64 kx (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) th (.f64 (.f64 (.f64 #s(literal 1/2 binary64) th) (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 (.f64 th #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(* (* th (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)))))
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(* (* th (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)))))
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(* (* th (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)))))
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(* (* th (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)))))
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(* (* th (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)))))
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(* (* 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 (sin.f64 ky) th))
(* (* 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 (sin.f64 ky) th))
(* (* th (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)))))
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(* (* th (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)))))
(.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) th))
(* (* 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 (sin.f64 ky) th))
(* (* 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 (sin.f64 ky) th))
(* (* 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 (sin.f64 ky) th))
(* (* 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 (sin.f64 ky) th))
(/ 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 ky ky) (+.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))) (+ (* 1/2 (* (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 (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.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)))) (.f64 (sin.f64 kx) #s(literal 1/2 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 (.f64 ky ky)) (/.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 (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (.f64 ky ky) (fma.f64 (sin.f64 kx) (fma.f64 (+.f64 (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))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 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))) (+.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 (/.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 (sin.f64 kx) #s(literal 1/2 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 (.f64 ky ky)) (/.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 (.f64 (.f64 #s(literal 1/2 binary64) (.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 (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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))) (.f64 #s(literal 1/2 binary64) (*.f64 (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 ky (*.f64 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 (.f64 ky ky) (/.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))
(+ (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 ky (.f64 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) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (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 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(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 (.f64 kx kx) (/.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))
(+ (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 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)))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
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(log ky)
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(+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))
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(+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))
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(log (sin ky))
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(log (sin ky))
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(log (sin ky))
(log.f64 (sin.f64 ky))
(log (sin ky))
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(log (sin ky))
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(* 1/3 (pow kx 2))
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(* 1/3 (pow kx 2))
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(* 1/3 (pow kx 2))
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(* 1/3 (pow kx 2))
(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
(* 1/3 (pow kx 2))
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(* 1/3 (pow kx 2))
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(* 1/3 (pow kx 2))
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(* 1/3 (pow kx 2))
(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
(* 1/3 (pow kx 2))
(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
(* 1/3 (pow kx 2))
(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
(* 1/3 (pow kx 2))
(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
(* 1/3 (pow kx 2))
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(pow kx 2)
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(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
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(+ 1/2 (* -1/2 (cos (* -2 kx))))
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(+ 1/2 (* -1/2 (cos (* -2 kx))))
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(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx (*.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(fma.f64 (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)) (.f64 kx (.f64 kx kx)) kx)
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx (*.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(fma.f64 (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)) (.f64 kx (.f64 kx kx)) 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)

eval195.0ms (1.5%)

Memory: -9.2MiB live, 253.7MiB allocated
Compiler: Compiled 29 299 to 2 234 computations (92.4% saved)

prune176.0ms (1.4%)

Memory

10.9MiB live, 418.1MiB allocated

Pruning

69 alts after pruning (63 fresh and 6 done)

	Pruned	Kept	Total
New	1 009	36	1 045
Fresh	14	27	41
Picked	2	3	5
Done	1	3	4
Total	1 026	69	1 095

Accuracy

100.0%

Counts

1 095 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
	17.1%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
	29.0%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
	17.7%	(fma.f64 th (.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))) th)
▶	17.7%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
	17.4%	(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
	31.6%	(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	74.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (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)))))))
	38.1%	(/.f64 (.f64 (sin.f64 ky) th) (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)))))))
	27.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	3.1%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
	38.2%	(/.f64 th (/.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)))
	73.8%	(/.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)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
	31.4%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
	74.1%	(.f64 (/.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 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
▶	74.2%	(.f64 (/.f64 (sin.f64 th) (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))
▶	28.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
	35.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
✓	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	50.5%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	36.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
	39.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) th)
	54.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	28.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
	38.1%	(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
	20.7%	(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64)))))) th)
	30.9%	(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
	11.5%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	74.2%	(.f64 (/.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))))))) (sin.f64 th))
	38.2%	(.f64 (/.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))))))) th)
	35.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
	45.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
	31.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
	31.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
	31.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	18.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	29.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	17.7%	(*.f64 (/.f64 ky (sin.f64 kx)) th)
▶	38.2%	(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
	31.7%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
	30.9%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
	3.0%	(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
	30.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	31.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	31.4%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)))))))
	31.4%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.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 #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64)))))))))))))
	30.7%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
▶	21.8%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
	27.4%	(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	1.7%	(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
	74.0%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.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))))))))
	74.0%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
	31.6%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	16.7%	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	16.8%	(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	26.9%	(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	27.5%	(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
	27.4%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	7.7%	(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
	32.0%	(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
	19.5%	(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
	11.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
	23.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	38.2%	(.f64 (sin.f64 ky) (/.f64 th (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))))))))
	31.7%	(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
	17.8%	(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
	17.6%	(*.f64 ky (/.f64 th (sin.f64 kx)))
✓	35.1%	(sin.f64 th)
✓	18.3%	th

Compiler

Compiled 2 744 to 1 918 computations (30.1% saved)

simplify398.0ms (3.1%)

Memory

4.6MiB live, 391.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (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))
✓	cost-diff	384	(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)))))
✓	cost-diff	0	(hypot.f64 (fma.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx)))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
✓	cost-diff	0	(neg.f64 (sin.f64 ky))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))
✓	cost-diff	448	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
✓	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	(/.f64 (sin.f64 th) (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)))))))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 th) (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))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	cost-diff	384	(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)))))

Rules

11 072×	`accelerator-lowering-fma.f32`
11 072×	`accelerator-lowering-fma.f64`
3 310×	`-lowering-.f32`
3 310×	`-lowering-.f64`
1 810×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	429
1	98	425
2	227	388
3	616	370
4	1401	370
5	2227	370
6	3118	370
7	4141	370
8	4816	370
9	5339	370
10	5908	370
11	6322	370
12	7152	370
13	7655	370
0	8025	318

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (sin th) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky))
(/ (sin th) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))
(sin th)
th
(sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))
(+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))
(- 1 (cos (+ ky ky)))
1
(cos (+ ky ky))
(+ ky ky)
ky
1/2
(+ 1/2 (* -1/2 (cos (+ kx kx))))
(* -1/2 (cos (+ kx kx)))
-1/2
(cos (+ kx kx))
(+ kx kx)
kx
(sin ky)
(+ (* th (* -1/6 (* th th))) th)
th
(* -1/6 (* th th))
-1/6
(* th th)
(* (* (sin th) (neg (sin ky))) (/ -1 kx))
(* (sin th) (neg (sin ky)))
(sin th)
th
(neg (sin ky))
(sin ky)
ky
(/ -1 kx)
-1
kx
(* (/ (sin ky) (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx))))) th)
(/ (sin ky) (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx)))))
(sin ky)
ky
(sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx))))
(+ (* ky (* ky (* ky -1/6))) ky)
(* ky (* ky -1/6))
(* ky -1/6)
-1/6
(sin kx)
kx
th
(* (* (/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky)) th)
(* (/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky))
(/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))
1
(sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))
(+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))
(- 1 (cos (+ ky ky)))
(cos (+ ky ky))
(+ ky ky)
ky
1/2
(+ 1/2 (* -1/2 (cos (+ kx kx))))
(* -1/2 (cos (+ kx kx)))
-1/2
(cos (+ kx kx))
(+ kx kx)
kx
(sin ky)
th

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

localize298.0ms (2.3%)

Memory

40.8MiB live, 622.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (/.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))))))) (sin.f64 ky))
✓	accuracy	95.1%	(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))))))
✓	accuracy	77.5%	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
✓	accuracy	75.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
✓	accuracy	99.8%	(.f64 ky (.f64 ky #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 ky #s(literal -1/6 binary64))
✓	accuracy	99.3%	(/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx)))
✓	accuracy	94.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
✓	accuracy	100.0%	(neg.f64 (sin.f64 ky))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))
✓	accuracy	95.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	99.9%	(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
✓	accuracy	99.4%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.6%	(.f64 (/.f64 (sin.f64 th) (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))
✓	accuracy	95.1%	(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))))))
✓	accuracy	77.5%	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
✓	accuracy	75.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))

Samples

112.0ms	103×	2	valid
63.0ms	85×	1	valid
30.0ms	62×	0	valid
10.0ms	6×	3	valid

Compiler

Compiled 375 to 43 computations (88.5% saved)

Precisions

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

ival-cos: 54.0ms (34.2% of total)

ival-mult: 33.0ms (20.9% of total)

ival-sin: 16.0ms (10.1% of total)

adjust: 12.0ms (7.6% of total)

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

ival-div: 10.0ms (6.3% of total)

const: 6.0ms (3.8% of total)

ival-hypot: 5.0ms (3.2% of total)

ival-sqrt: 4.0ms (2.5% of total)

ival-sub: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series48.0ms (0.4%)

Memory

-14.0MiB live, 97.3MiB allocated

Counts

21 → 444

Calls

Call 1

Inputs
#<alt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (+ kx kx))))>
#<alt (* (/ (sin th) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky))>
#<alt (/ (sin th) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))>
#<alt (+ (* th (* -1/6 (* th th))) th)>
#<alt (* -1/6 (* th th))>
#<alt (* th th)>
#<alt (* (* (sin th) (neg (sin ky))) (/ -1 kx))>
#<alt (* (sin th) (neg (sin ky)))>
#<alt (sin th)>
#<alt (neg (sin ky))>
#<alt (* (/ (sin ky) (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx))))) th)>
#<alt (/ (sin ky) (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx)))))>
#<alt (sin ky)>
#<alt (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx))))>
#<alt (* (/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky))>
#<alt (* (* (/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky)) th)>
#<alt (- 1 (cos (+ ky ky)))>
#<alt (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))>
#<alt (* ky -1/6)>
#<alt (* ky (* ky -1/6))>

Outputs
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (* 1/2 (- 1 (cos (* 2 ky))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))>
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#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))>
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#<alt (+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))>
#<alt (+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))>
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#<alt (* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))>
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#<alt (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (pow ky 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))>
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#<alt (pow th 2)>
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#<alt (pow th 2)>
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#<alt (/ (* th (sin ky)) kx)>
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#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* 1/120 (/ (* (pow th 2) (sin ky)) kx)))) (/ (sin ky) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) kx)) (* 1/120 (/ (sin ky) kx)))))) (/ (sin ky) kx)))>
#<alt (/ (* (sin ky) (sin th)) kx)>
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#<alt (* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))>
#<alt (* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))>
#<alt (* -1 (* (sin ky) (sin th)))>
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#<alt th>
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#<alt (sin th)>
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#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
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#<alt (* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1))>
#<alt (* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (* -1 (sin ky))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (* 6 (/ (* th (sin ky)) (pow ky 3)))>
#<alt (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3))>
#<alt (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3))>
#<alt (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (* th (sin ky)) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3)))>
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#<alt (* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3)))>
#<alt (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))))))))))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))) (+ (* 2/45 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (+ (* 2/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))) (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))))))))))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))>
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#<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))) (+ (* 1/36 (/ 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 (* 6 (/ (sin ky) (pow ky 3)))>
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#<alt (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (sin ky) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow ky 2)))) (pow ky 3)))>
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#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4)))))) (pow ky 3)))>
#<alt (/ (sin ky) (+ ky (* -1/6 (pow ky 3))))>
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#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))))))))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))) (+ (* 2/45 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (+ (* 2/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))) (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 8))))))))) (* 1/2 (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))))))))))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))>
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#<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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (* 1/6 (pow ky 3))>
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#<alt (+ ky (* -1/6 (pow ky 3)))>
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#<alt (+ ky (+ (* -1/6 (pow ky 3)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2))))) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ 1 (+ ky (* -1/6 (pow ky 3)))))))))>
#<alt (+ ky (+ (* -1/6 (pow ky 3)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2)))) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))))) (+ ky (* -1/6 (pow ky 3))))))) (* 1/2 (/ 1 (+ ky (* -1/6 (pow ky 3)))))))))>
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#<alt (* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))>
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))>
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))>
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
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#<alt (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))>
#<alt (+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))>
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))>
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
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#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* ky th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))>
#<alt (* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))>
#<alt (* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))>
#<alt (* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* th (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))>
#<alt (+ (* -2 (* (/ (* (pow kx 2) (* th (sin ky))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))>
#<alt (+ (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* th (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* th (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))>
#<alt (+ (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* th (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* th (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* th (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* 2 (pow ky 2))>
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))>
#<alt (+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<alt (* -1/6 ky)>
#<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))>

Calls

111 calls:

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

rewrite146.0ms (1.1%)

Memory

1.9MiB live, 162.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

996×	`accelerator-lowering-fma.f32`
996×	`accelerator-lowering-fma.f64`
982×	`-lowering-.f32`
982×	`-lowering-.f64`
654×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	249
1	229	208
0	1824	183

Stop Event

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

Counts

21 → 245

Calls

Call 1

Inputs
(+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))
(+ 1/2 (* -1/2 (cos (+ kx kx))))
(* (/ (sin th) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky))
(/ (sin th) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx)))))))
(+ (* th (* -1/6 (* th th))) th)
(* -1/6 (* th th))
(* th th)
(* (* (sin th) (neg (sin ky))) (/ -1 kx))
(* (sin th) (neg (sin ky)))
(sin th)
(neg (sin ky))
(* (/ (sin ky) (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx))))) th)
(/ (sin ky) (sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx)))))
(sin ky)
(sqrt (+ (* (+ (* ky (* ky (* ky -1/6))) ky) (+ (* ky (* ky (* ky -1/6))) ky)) (* (sin kx) (sin kx))))
(* (/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky))
(* (* (/ 1 (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (sin ky)) th)
(- 1 (cos (+ ky ky)))
(sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))
(* ky -1/6)
(* ky (* ky -1/6))

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

simplify701.0ms (5.5%)

Memory

-168.7MiB live, 763.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 984×	`accelerator-lowering-fma.f32`
7 984×	`accelerator-lowering-fma.f64`
6 858×	`-lowering-.f32`
6 858×	`-lowering-.f64`
6 456×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	11138
1	3145	10783
0	8063	9970

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(* 1/2 (- 1 (cos (* 2 ky))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(+ (* -1/2 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (pow ky 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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)))))
(* -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))
(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)
(/ (* th (sin ky)) kx)
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) kx)) (/ (sin ky) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* 1/120 (/ (* (pow th 2) (sin ky)) kx)))) (/ (sin ky) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) kx)) (* 1/120 (/ (sin ky) kx)))))) (/ (sin ky) kx)))
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* ky (sin th)) kx)
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) kx)) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* 1/120 (/ (* (pow ky 2) (sin th)) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) kx)) (* 1/120 (/ (sin th) kx)))))) (/ (sin th) kx)))
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(/ (* (sin ky) (sin th)) kx)
(* -1 (* th (sin ky)))
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky)))))
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky))))))
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky)))))))))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* ky (sin th)))
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th))))))
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th)))))))))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
(* -1 (* (sin ky) (sin th)))
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)
(* -1 ky)
(* ky (- (* 1/6 (pow ky 2)) 1))
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1))
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* 6 (/ (* th (sin ky)) (pow ky 3)))
(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (* th (sin ky)) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3)))
(/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))))))))))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))) (+ (* 2/45 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (+ (* 2/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))) (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))))))))))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 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))) (+ (* 1/36 (/ 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))))
(* 6 (/ (sin ky) (pow ky 3)))
(/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (sin ky) (pow ky 3)))
(* -1 (/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4)))))) (pow ky 3)))
(/ (sin ky) (+ ky (* -1/6 (pow ky 3))))
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))))))))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))) (+ (* 2/45 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (+ (* 2/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))) (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 8))))))))) (* 1/2 (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))))))))))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 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)
(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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(* 1/6 (pow ky 3))
(* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))
(* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))
(* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))
(+ ky (* -1/6 (pow ky 3)))
(+ ky (+ (* -1/6 (pow ky 3)) (* 1/2 (/ (pow kx 2) (+ ky (* -1/6 (pow ky 3)))))))
(+ ky (+ (* -1/6 (pow ky 3)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2))))) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ 1 (+ ky (* -1/6 (pow ky 3)))))))))
(+ ky (+ (* -1/6 (pow ky 3)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2)))) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))))) (+ ky (* -1/6 (pow ky 3))))))) (* 1/2 (/ 1 (+ ky (* -1/6 (pow ky 3)))))))))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* ky th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* th (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* th (sin ky))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* th (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* th (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* th (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* th (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* th (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -1/6 ky)
(* -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))

Outputs
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 (.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (- 1 (cos (* 2 ky))))
(.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (.f64 kx kx))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.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))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.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)))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(.f64 th (fma.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) #s(literal 1/12 binary64) (.f64 (.f64 ky ky) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
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(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
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(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))
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(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
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(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
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(+ (* -1/2 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))
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(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (pow ky 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))))))))))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))) (+ (* 2/45 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (+ (* 2/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))) (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))))))))))) (/ (* th (sin ky)) (+ ky (* -1/6 (pow ky 3)))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64)))))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (sin.f64 ky))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))))) (/.f64 (.f64 th (sin.f64 ky)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #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) (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 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.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))) (+ (* 1/36 (/ 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) (fma.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (.f64 ky ky) (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (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))))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (fma.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))))) (neg.f64 (+.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 #s(literal 1/2 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 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (neg.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))))))) (/.f64 ky (sin.f64 kx)))
(* 6 (/ (sin ky) (pow ky 3)))
(/.f64 (.f64 (sin.f64 ky) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow ky 2)))) (pow ky 3))
(/.f64 (fma.f64 (sin.f64 ky) #s(literal 6 binary64) (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 ky)) (.f64 ky ky))) (.f64 ky (.f64 ky ky)))
(/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4))))) (pow ky 3))
(/.f64 (fma.f64 #s(literal 36 binary64) (/.f64 (sin.f64 ky) (.f64 ky ky)) (fma.f64 (sin.f64 ky) #s(literal 6 binary64) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (pow.f64 ky #s(literal 4 binary64))))) (.f64 ky (.f64 ky ky)))
(/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4)))))) (pow ky 3))
(/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (sin.f64 ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal -1296 binary64) #s(literal 15552 binary64))) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal 36 binary64) (/.f64 (sin.f64 ky) (.f64 ky ky)) (fma.f64 (sin.f64 ky) #s(literal 6 binary64) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (pow.f64 ky #s(literal 4 binary64)))))) (.f64 ky (*.f64 ky ky)))
(* -6 (/ (sin ky) (pow ky 3)))
(/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (*.f64 ky ky)))
(* -1 (/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow ky 2)))) (pow ky 3)))
(neg.f64 (/.f64 (fma.f64 (sin.f64 ky) #s(literal 6 binary64) (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 ky)) (.f64 ky ky))) (.f64 ky (.f64 ky ky))))
(* -1 (/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4))))) (pow ky 3)))
(/.f64 (fma.f64 #s(literal 36 binary64) (/.f64 (sin.f64 ky) (.f64 ky ky)) (fma.f64 (sin.f64 ky) #s(literal 6 binary64) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (pow.f64 ky #s(literal 4 binary64))))) (neg.f64 (.f64 ky (.f64 ky ky))))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow ky 2))) (* 216 (/ (sin ky) (pow ky 4)))))) (pow ky 3)))
(/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (sin.f64 ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal -1296 binary64) #s(literal 15552 binary64))) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal 36 binary64) (/.f64 (sin.f64 ky) (.f64 ky ky)) (fma.f64 (sin.f64 ky) #s(literal 6 binary64) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (pow.f64 ky #s(literal 4 binary64)))))) (neg.f64 (.f64 ky (*.f64 ky ky))))
(/ (sin ky) (+ ky (* -1/6 (pow ky 3))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))))))))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow (+ ky (* -1/6 (pow ky 3))) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))) (+ (* 2/45 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (+ (* 2/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))) (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 8))))))))) (* 1/2 (* (sin ky) (* (+ ky (* -1/6 (pow ky 3))) (+ (* 1/3 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 4))) (* 3/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 6))))))))))) (/ (sin ky) (+ ky (* -1/6 (pow ky 3)))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64)))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) #s(literal 4 binary64))))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))))
(.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky) (pow.f64 (sin.f64 kx) #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)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 ky (/.f64 ky (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 1/36 (* -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 1/36 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))
(* 1/6 (pow ky 3))
(.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))
(.f64 (.f64 ky (.f64 ky ky)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))
(.f64 (.f64 ky (.f64 ky ky)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 6 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky)))))
(* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 18 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 8 binary64))) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))) (neg.f64 (.f64 ky (.f64 ky ky))))
(* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))
(.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 6 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky)))) (neg.f64 (.f64 ky (.f64 ky ky))))
(* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 18 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 8 binary64))) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (neg.f64 (.f64 ky (.f64 ky ky))))
(+ ky (* -1/6 (pow ky 3)))
(fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)
(+ ky (+ (* -1/6 (pow ky 3)) (* 1/2 (/ (pow kx 2) (+ ky (* -1/6 (pow ky 3)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 kx kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky))
(+ ky (+ (* -1/6 (pow ky 3)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2))))) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ 1 (+ ky (* -1/6 (pow ky 3)))))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)))) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(+ ky (+ (* -1/6 (pow ky 3)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2)))) (+ ky (* -1/6 (pow ky 3))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (+ ky (* -1/6 (pow ky 3))) 2)))) (pow (+ ky (* -1/6 (pow ky 3))) 2))))) (+ ky (* -1/6 (pow ky 3))))))) (* 1/2 (/ 1 (+ ky (* -1/6 (pow ky 3)))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))))) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(sqrt (+ (pow (sin kx) 2) (pow (+ ky (* -1/6 (pow ky 3))) 2)))
(hypot.f64 (sin.f64 kx) (fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky))
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))
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(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
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(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
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(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
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(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* ky th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 ky th))
(* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (.f64 th (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1/12 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 (.f64 #s(literal -1/6 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* ky (+ (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* th (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* th (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* th (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(.f64 ky (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 th (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 ky ky) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) (.f64 #s(literal -1/12 binary64) (.f64 th (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/240 binary64) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/5040 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (.f64 #s(literal 1/12 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -2 (* (/ (* (pow kx 2) (* th (sin ky))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 th (sin.f64 ky)) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* th (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* th (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(fma.f64 (.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (.f64 (.f64 (.f64 th (sin.f64 ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 th (sin.f64 ky))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* th (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* th (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* th (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(fma.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 th (sin.f64 ky)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)))))) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (sin.f64 ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 th (sin.f64 ky))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* 2 (pow ky 2))
(.f64 #s(literal 2 binary64) (.f64 ky ky))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
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(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
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(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
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(- 1 (cos (* 2 ky)))
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(- 1 (cos (* 2 ky)))
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(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (* 2 ky)))
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(- 1 (cos (neg (* -2 ky))))
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(- 1 (cos (neg (* -2 ky))))
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(- 1 (cos (neg (* -2 ky))))
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(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))
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(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
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(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
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(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
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(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 ky #s(literal -1/6 binary64))
(* -1/6 ky)
(*.f64 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))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))

eval123.0ms (1%)

Memory: 1.4MiB live, 231.1MiB allocated
Compiler: Compiled 25 111 to 2 147 computations (91.4% saved)

prune209.0ms (1.6%)

Memory

4.6MiB live, 366.8MiB allocated

Pruning

97 alts after pruning (88 fresh and 9 done)

	Pruned	Kept	Total
New	862	44	906
Fresh	14	44	58
Picked	2	3	5
Done	0	6	6
Total	878	97	975

Accuracy

100.0%

Counts

975 → 97

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
	17.7%	(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
	29.0%	(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
	17.7%	(fma.f64 th (.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))) th)
	17.7%	(fma.f64 th (.f64 (.f64 th #s(literal -1/6 binary64)) th) th)
	18.6%	(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
	17.4%	(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
	4.5%	(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
	31.6%	(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	21.8%	(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
	74.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (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)))))))
	38.1%	(/.f64 (.f64 (sin.f64 ky) th) (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)))))))
	6.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
	15.5%	(/.f64 (*.f64 th (sin.f64 ky)) kx)
	27.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	20.7%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	3.1%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
	38.2%	(/.f64 th (/.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)))
	18.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
	73.8%	(/.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)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
	31.4%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
	28.0%	(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
	3.0%	(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
	11.5%	(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
	83.7%	(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
✓	74.2%	(.f64 (/.f64 (sin.f64 th) (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))
	35.5%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
	45.3%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
	29.6%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
	31.7%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
	30.9%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
	35.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
✓	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	50.5%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	36.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
	39.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) th)
	54.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	38.1%	(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
	30.9%	(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
	3.0%	(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
	11.5%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	74.2%	(.f64 (/.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))))))) (sin.f64 th))
	38.2%	(.f64 (/.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))))))) th)
	7.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
	31.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
	31.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
	31.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	18.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	38.2%	(.f64 (/.f64 th (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))
	28.2%	(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
	29.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	17.7%	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	14.6%	(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
	18.6%	(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
	16.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
✓	38.2%	(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
	16.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
	16.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
	16.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
	16.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
	23.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
	74.1%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th)) (sin.f64 ky))
	30.9%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
	16.9%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
	19.8%	(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
	20.0%	(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
	3.0%	(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
	31.7%	(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
	30.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	31.6%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	31.4%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)))))))
	31.4%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.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 #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64)))))))))))))
	30.7%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
✓	21.8%	(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
	27.4%	(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	20.7%	(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
	74.0%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.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))))))))
	74.0%	(.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 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
	16.7%	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	14.8%	(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
	7.7%	(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
	15.5%	(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
	27.5%	(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
	14.9%	(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
	27.4%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	7.7%	(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
	16.7%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
	32.0%	(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
	19.5%	(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
	23.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	17.8%	(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
	17.0%	(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
	22.2%	(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
	17.6%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	11.3%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	35.1%	(sin.f64 th)
✓	18.3%	th

Compiler

Compiled 4 322 to 1 784 computations (58.7% saved)

regimes397.0ms (3.1%)

Memory

15.7MiB live, 555.2MiB allocated

Counts

138 → 1

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 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 kx (.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.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))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (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 (.f64 (sin.f64 ky) (sin.f64 th)) (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 (.f64 (sin.f64 ky) (sin.f64 th)) (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 (.f64 (sin.f64 ky) (sin.f64 th)) (/.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 (.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)) (sin.f64 th))
(.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th)) (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)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.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 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.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 #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64)))))))))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
(.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 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) th)
(*.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) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64)))))) th)
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 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 (/.f64 (sin.f64 ky) (/.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))))))) (sin.f64 th))

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

Calls

9 calls:

70.0ms	th
44.0ms	ky
42.0ms	(sin.f64 ky)
41.0ms	(sin.f64 th)
40.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
99.8%	1	`kx`
99.8%	1	`ky`
99.8%	1	`th`
99.8%	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))`
99.8%	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)))))`
99.8%	1	`(sin.f64 ky)`
99.8%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.8%	1	`(sin.f64 kx)`
99.8%	1	`(sin.f64 th)`

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes380.0ms (3%)

Memory

31.1MiB live, 659.6MiB allocated

Counts

127 → 2

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 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 kx (.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.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))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (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 (.f64 (sin.f64 ky) (sin.f64 th)) (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 (.f64 (sin.f64 ky) (sin.f64 th)) (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 (.f64 (sin.f64 ky) (sin.f64 th)) (/.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 (.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)) (sin.f64 th))
(.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th)) (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)))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.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 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.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 #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 kx #s(literal -2 binary64)))))))))))))

Outputs

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

(*.f64 (/.f64 (sin.f64 th) (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))

Calls

9 calls:

76.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
40.0ms	(*.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))
39.0ms	kx
38.0ms	(sin.f64 th)
37.0ms	ky

Results

Accuracy	Segments	Branch
94.7%	2	`kx`
86.4%	2	`th`
84.5%	5	`(*.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))`
94.7%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.2%	2	`ky`
99.3%	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)))))`
99.2%	3	`(sin.f64 ky)`
94.7%	3	`(sin.f64 kx)`
86.4%	3	`(sin.f64 th)`

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes47.0ms (0.4%)

Memory

-27.1MiB live, 91.8MiB allocated

Counts

117 → 2

Calls

Call 1

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

Outputs

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

(*.f64 (/.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))))))) (sin.f64 th))

Calls

1 calls:

39.0ms

ky

Results

Accuracy	Segments	Branch
99.2%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes312.0ms (2.4%)

Memory

36.2MiB live, 625.5MiB allocated

Counts

116 → 6

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 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 kx (.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))

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

Calls

8 calls:

51.0ms	(sin.f64 kx)
41.0ms	(/.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)))))
39.0ms	(sin.f64 ky)
37.0ms	(sin.f64 th)
35.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.4%	4	`(sin.f64 th)`
76.7%	2	`th`
76.7%	3	`(sin.f64 kx)`
88.1%	6	`(/.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)))))`
76.6%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
78.2%	3	`kx`
81.1%	3	`(sin.f64 ky)`
81.0%	2	`ky`

Compiler

Compiled 50 to 38 computations (24% saved)

regimes37.0ms (0.3%)

Memory

8.2MiB live, 83.3MiB allocated

Counts

109 → 6

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))

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

Calls

1 calls:

31.0ms

(/.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
88.0%	6	`(/.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)

regimes45.0ms (0.4%)

Memory

-18.7MiB live, 94.7MiB allocated

Counts

107 → 6

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))

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

Calls

1 calls:

35.0ms

(/.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
87.9%	6	`(/.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)

regimes352.0ms (2.7%)

Memory

-1.2MiB live, 526.5MiB allocated

Counts

105 → 6

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (/.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))))))))) th)

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

Calls

9 calls:

68.0ms	kx
55.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
36.0ms	(sin.f64 ky)
34.0ms	ky
34.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
71.2%	4	`(sin.f64 kx)`
58.9%	4	`(sin.f64 th)`
71.1%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
72.7%	4	`kx`
60.3%	5	`th`
62.2%	3	`(sin.f64 ky)`
60.0%	5	`(*.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))`
62.1%	3	`ky`
80.1%	6	`(/.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)

regimes34.0ms (0.3%)

Memory

18.0MiB live, 59.9MiB allocated

Counts

102 → 6

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (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 (/.f64 th (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 (/.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))))))) th)
(.f64 (/.f64 (sin.f64 ky) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) th) (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 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))))
(.f64 (.f64 (/.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))))))) (sin.f64 ky)) th)
(/.f64 th (/.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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))

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

Calls

1 calls:

29.0ms

(/.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
80.1%	6	`(/.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)

regimes31.0ms (0.2%)

Memory

-17.6MiB live, 57.3MiB allocated

Counts

89 → 4

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 kx kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.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) #s(literal 1/2 binary64))))) th)
(/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (fma.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) #s(literal 1/2 binary64)))))

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

Calls

1 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)))))

Results

Accuracy	Segments	Branch
73.2%	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 16 to 11 computations (31.3% saved)

regimes88.0ms (0.7%)

Memory

5.1MiB live, 163.4MiB allocated

Counts

74 → 4

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))

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

Calls

4 calls:

23.0ms	kx
21.0ms	(sin.f64 kx)
21.0ms	(/.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)))))
20.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
65.5%	4	`(sin.f64 kx)`
64.3%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
64.3%	3	`kx`
69.0%	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 32 to 24 computations (25% saved)

regimes24.0ms (0.2%)

Memory

3.7MiB live, 41.8MiB allocated

Counts

73 → 4

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))

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

Calls

1 calls:

20.0ms

(/.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
69.0%	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 16 to 11 computations (31.3% saved)

regimes28.0ms (0.2%)

Memory

13.8MiB live, 61.3MiB allocated

Counts

72 → 4

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)) kx))) th)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 kx (.f64 (/.f64 kx (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 th))

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

Calls

1 calls:

24.0ms

(/.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
68.1%	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 16 to 11 computations (31.3% saved)

regimes26.0ms (0.2%)

Memory

10.7MiB live, 47.1MiB allocated

Counts

63 → 4

Calls

Call 1

Inputs
th
(.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 #s(literal -1/6 binary64)) th) th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(fma.f64 th (.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))) th)
(fma.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))) (*.f64 th #s(literal -1/2 binary64)) th)
(/.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(.f64 (.f64 (fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (.f64 ky ky)))
(.f64 (/.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))) th)
(.f64 (/.f64 (.f64 #s(literal -6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) th)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) kx) kx)) (.f64 ky ky))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky)))
(.f64 (.f64 th (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) th)
(.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (.f64 ky ky)))))
(.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 kx (/.f64 kx (*.f64 ky ky)))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 th) (.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)))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (fma.f64 th (.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 kx))
(.f64 (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 th)) (neg.f64 (sin.f64 ky)))
(fma.f64 th (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (.f64 kx kx) (*.f64 ky ky)) (sin.f64 th))
(.f64 (/.f64 ky (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 ky (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx)))
(.f64 (.f64 th (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 th) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(.f64 (/.f64 (fma.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (fma.f64 ky (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) th)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) th)
(.f64 (.f64 ky (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 kx kx)))) (*.f64 ky ky))
(.f64 (.f64 kx kx) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky)) (/.f64 (sin.f64 th) (.f64 kx kx))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) (fma.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)) #s(literal 1/2 binary64))))) (sin.f64 ky)) th)
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 (.f64 ky ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 kx kx))) (.f64 kx kx)) (*.f64 ky ky)) (sin.f64 th))

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

Calls

1 calls:

22.0ms

(/.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
67.9%	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 16 to 11 computations (31.3% saved)

regimes21.0ms (0.2%)

Memory

-3.7MiB live, 34.1MiB allocated

Counts

56 → 4

Calls

Call 1

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

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

Calls

1 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)))))

Results

Accuracy	Segments	Branch
67.9%	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 16 to 11 computations (31.3% saved)

regimes127.0ms (1%)

Memory

2.3MiB live, 158.4MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))

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

(sin.f64 th)

Calls

6 calls:

31.0ms	kx
29.0ms	(/.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)))))
18.0ms	(sin.f64 kx)
18.0ms	ky
14.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
51.4%	2	`ky`
51.4%	2	`(sin.f64 ky)`
59.0%	3	`(sin.f64 kx)`
59.3%	3	`kx`
59.2%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
61.8%	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 41 to 31 computations (24.4% saved)

regimes18.0ms (0.1%)

Memory

-6.8MiB live, 30.6MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

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

(sin.f64 th)

Calls

1 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)))))

Results

Accuracy	Segments	Branch
61.8%	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 16 to 11 computations (31.3% saved)

regimes19.0ms (0.2%)

Memory

-10.9MiB live, 33.9MiB allocated

Counts

43 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

(/.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
58.5%	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)

regimes89.0ms (0.7%)

Memory

-11.0MiB live, 146.3MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	kx
13.0ms	(sin.f64 th)
12.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
10.0ms	(*.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))
10.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
47.6%	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))`
38.0%	2	`th`
35.1%	1	`(sin.f64 th)`
45.9%	3	`(sin.f64 kx)`
46.7%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
46.8%	3	`kx`
51.9%	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)

regimes33.0ms (0.3%)

Memory

27.6MiB live, 65.6MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	ky
9.0ms	(sin.f64 ky)
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
45.8%	2	`(sin.f64 ky)`
45.6%	2	`ky`
49.6%	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)

regimes28.0ms (0.2%)

Memory

-19.4MiB live, 18.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

(/.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
49.2%	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)

regimes6.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

(/.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
48.3%	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)

regimes6.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

(/.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
48.3%	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)

regimes57.0ms (0.4%)

Memory

-17.3MiB live, 75.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	(*.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))
10.0ms	kx
5.0ms	ky
5.0ms	(/.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 kx)

Results

Accuracy	Segments	Branch
38.2%	2	`(sin.f64 kx)`
38.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
38.3%	2	`kx`
38.1%	2	`ky`
38.3%	2	`(sin.f64 ky)`
42.7%	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))`
42.5%	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 60 to 44 computations (26.7% saved)

regimes45.0ms (0.4%)

Memory

7.1MiB live, 83.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

9 calls:

8.0ms	(*.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))
7.0ms	(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)))))
4.0ms	(sin.f64 ky)
4.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
21.0%	2	`(sin.f64 th)`
20.8%	2	`th`
23.2%	2	`ky`
22.0%	2	`(sin.f64 kx)`
22.9%	2	`kx`
23.3%	2	`(sin.f64 ky)`
22.9%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
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))`
25.9%	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)

regimes34.0ms (0.3%)

Memory

-12.3MiB live, 26.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

9 calls:

22.0ms	kx
1.0ms	(*.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	(sin.f64 kx)
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)

Results

Accuracy	Segments	Branch
18.3%	1	`th`
18.3%	1	`(sin.f64 th)`
18.3%	1	`(sin.f64 kx)`
18.3%	1	`kx`
18.3%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
18.3%	1	`ky`
18.3%	1	`(sin.f64 ky)`
18.3%	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)))))`
18.3%	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))`

Compiler

Compiled 69 to 51 computations (26.1% saved)

bsearch51.0ms (0.4%)

Memory

-15.6MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.292146979374738e-6	5.942399693877591e-5

Samples

12.0ms

96×

valid

Compiler

Compiled 268 to 198 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 5.0ms (55.5% of total)

ival-pow2: 2.0ms (22.2% of total)

ival-div: 1.0ms (11.1% of total)

ival-mult: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

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

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

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

bsearch17.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.292146979374738e-6	5.942399693877591e-5

Samples

11.0ms

96×

valid

Compiler

Compiled 268 to 198 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 5.0ms (57.1% of total)

ival-pow2: 2.0ms (22.8% of total)

ival-div: 1.0ms (11.4% of total)

ival-mult: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

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

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

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.8564720825581017	0.8682006008587058
0.0ms	1.948675161219266e-29	2.8598963316859593e-27
0.0ms	-0.3014406592763172	-0.08670615132832533
0.0ms	-0.9999999501680014	-0.9982079771719723

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.8564720825581017	0.8682006008587058
0.0ms	1.948675161219266e-29	2.8598963316859593e-27
0.0ms	-0.3014406592763172	-0.08670615132832533
0.0ms	-0.9999999501680014	-0.9982079771719723

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.8564720825581017	0.8682006008587058
0.0ms	6.493633694941176e-16	2.0103092945822098e-10
0.0ms	-0.3014406592763172	-0.08670615132832533
0.0ms	-0.9999999501680014	-0.9982079771719723

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	0.8564720825581017	0.8682006008587058
0.0ms	6.493633694941176e-16	2.0103092945822098e-10
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-0.5067101240391381	-0.3014406592763172
0.0ms	-0.9999999501680014	-0.9982079771719723

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch30.0ms (0.2%)

Memory

-35.2MiB live, 3.3MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	0.8564720825581017	0.8682006008587058
0.0ms	6.493633694941176e-16	2.0103092945822098e-10
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-0.5067101240391381	-0.3014406592763172
0.0ms	-0.9999999501680014	-0.9982079771719723

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.08405752907645289	0.1464881709668988
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-0.7126717534260514	-0.7046657701306378

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.08405752907645289	0.1464881709668988
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-1.0	-0.9999999501680014

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.08405752907645289	0.1464881709668988
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-1.0	-0.9999999501680014

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.08405752907645289	0.1464881709668988
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-0.08670615132832533	6.347730242273865e-308

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.992747330437696e-5	0.013220948633405238
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-0.08670615132832533	6.347730242273865e-308

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.992747330437696e-5	0.013220948633405238
0.0ms	1.4195771288246452e-176	8.86765191695651e-176
0.0ms	-0.08670615132832533	6.347730242273865e-308

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.992747330437696e-5	0.013220948633405238
0.0ms	1.4195771288246452e-176	8.86765191695651e-176

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.992747330437696e-5	0.013220948633405238
0.0ms	1.4195771288246452e-176	8.86765191695651e-176

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.992747330437696e-5	0.013220948633405238

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	0.013220948633405238	0.03781961856715926

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	6.992747330437696e-5	0.013220948633405238

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.992747330437696e-5	0.013220948633405238

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	6.992747330437696e-5	0.013220948633405238

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	6.992747330437696e-5	0.013220948633405238

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	2.946588069988404e-47	4.066303381215822e-47

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	7.485283522396355e-300	8.394100221886947e-298

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify27.0ms (0.2%)

Memory

20.7MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary64`
14×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1739
1	227	1739
2	233	1739
3	237	1739
4	239	1739

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
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(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 -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 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 5764607523034235/288230376151711744 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 7378697629483821/73786976294838206464 binary64)) (.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) 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 7378697629483821/73786976294838206464 binary64)) (/.f64 (*.f64 ky (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 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) 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 7378697629483821/73786976294838206464 binary64)) (*.f64 ky (/.f64 th (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 4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) (sin.f64 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 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) th)
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 534955578137577/9223372036854775808 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 th) (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)))
(if (<=.f64 ky #s(literal 534955578137577/9223372036854775808 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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)))))))))
(if (<=.f64 ky #s(literal 534955578137577/9223372036854775808 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)) (.f64 (/.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))))))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 534955578137577/9223372036854775808 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (.f64 (sin.f64 th) (/.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)))))))))
(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 -8998192055486251/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (/.f64 th (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)))))))) (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 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.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 7746191359077253/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 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 (sin.f64 ky) (hypot.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 -8998192055486251/9007199254740992 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx 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 -3602879701896397/18014398509481984 binary64)) (.f64 (sin.f64 ky) (/.f64 th (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)))))))) (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 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.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 7746191359077253/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 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 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.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 -8998192055486251/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 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 (sin.f64 ky) (/.f64 th (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)))))))) (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 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.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 7746191359077253/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 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 (sin.f64 ky) (hypot.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 -8998192055486251/9007199254740992 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #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 -3602879701896397/18014398509481984 binary64)) (.f64 (sin.f64 ky) (/.f64 th (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)))))))) (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 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.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 7746191359077253/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 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 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))))
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(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 -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal -2 binary64))))))) (sin.f64 ky)) 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 -3602879701896397/72057594037927936 binary64)) (.f64 th (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (sin.f64 th) (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (sin.f64 th) (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 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 7378697629483821/73786976294838206464 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 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.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 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 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 5764607523034235/288230376151711744 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 7378697629483821/73786976294838206464 binary64)) (.f64 (.f64 (sin.f64 th) (.f64 ky (fma.f64 (.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) 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 7378697629483821/73786976294838206464 binary64)) (/.f64 (*.f64 ky (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 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) 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 7378697629483821/73786976294838206464 binary64)) (*.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 7378697629483821/73786976294838206464 binary64)) (*.f64 ky (/.f64 th (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 4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) (sin.f64 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 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) 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 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) th)
th

soundness1.7s (13.3%)

Memory

-48.1MiB live, 1 848.6MiB allocated

Rules

14 278×	`accelerator-lowering-fma.f32`
14 278×	`accelerator-lowering-fma.f64`
13 434×	`accelerator-lowering-fma.f32`
13 434×	`accelerator-lowering-fma.f64`
9 284×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	7008
1	2004	6781
2	7261	6587
0	8352	6155
0	42	186
1	209	179
2	1467	179
0	8153	147
0	975	11138
1	3145	10783
0	8063	9970
0	317	2263
1	1011	2214
2	3860	2122
3	7803	2122
0	8106	1974
0	823	9777
1	2683	9400
2	6787	9377
0	8147	8689
0	13	49
1	53	49
2	329	49
3	2893	49
0	8275	34

Stop Event

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

Compiler

Compiled 3 455 to 1 415 computations (59% saved)

preprocess187.0ms (1.5%)

Memory

5.6MiB live, 276.0MiB allocated

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 3 606 to 438 computations (87.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated