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

analyze322.0ms (2.2%)

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 20 to 14 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-sqrt: 61.0ms (28.4% of total)

ival-sin: 52.0ms (24.2% of total)

ival-mult: 48.0ms (22.3% of total)

ival-pow: 37.0ms (17.2% of total)

ival-add: 9.0ms (4.2% of total)

ival-div: 6.0ms (2.8% of total)

const: 2.0ms (0.9% of total)

backward-pass: 1.0ms (0.5% of total)

sample1.8s (12.3%)

Results

1.5s

8256×

valid

Precisions

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

ival-sin: 653.0ms (56.9% of total)

ival-pow: 190.0ms (16.5% of total)

ival-mult: 92.0ms (8% of total)

ival-sqrt: 90.0ms (7.8% of total)

ival-div: 63.0ms (5.5% of total)

ival-add: 44.0ms (3.8% of total)

const: 14.0ms (1.2% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess129.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2204×	`fnmadd-define`
1936×	`fma-define`
1234×	`sum3-define`
1150×	`fmsub-define`
1132×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	104	113
2	237	113
3	425	113
4	1033	113
5	2834	113
6	4710	113
7	6190	113
8	7073	113
9	7222	113
10	7333	113
11	7365	113
12	7365	113
0	13	16
1	19	11
2	29	11
3	30	11
0	30	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) (hypot (sin ky) (sin kx))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th)))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th)))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(/ (* (sin kx) (sin th)) (hypot (sin ky) (sin kx)))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(* (sin ky) (/ (sin kx) (hypot (sin ky) (sin th))))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))
(* (sin ky) (/ (sin th) (hypot (sin kx) (sin th))))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain203.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
18	0	-	2	(5.014174043108044e-161 3.2315791670450966e-282 1.4539844698059336e-123)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	0	-	0	-	`kx`
0	0	-	0	-	`ky`
0	0	-	0	-	`(sin.f64 ky)`
0	0	-	0	-	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
0	0	-	0	-	`th`
0	63	(4.726826811451142e-25 4186275.9759629914 6.814357095411285e+65)	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	0	-	0	-	`(sin.f64 th)`
0	0	-	0	-	`(sin.f64 kx)`
0	0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	56	(7.0472901431348095e-186 4.08357548408588e-107 9.183617640210743e+31)	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Results

121.0ms

512×

valid

Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sin: 38.0ms (42.8% of total)

ival-pow: 31.0ms (34.9% of total)

const: 6.0ms (6.8% of total)

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

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

ival-div: 3.0ms (3.4% of total)

ival-add: 3.0ms (3.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.2%	(*.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))
▶	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Status

Accuracy

Program

▶

93.2%

(*.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))

▶

99.6%

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	12992	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	cost-diff	12992	(/.f64 (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	12992	(*.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	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

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	19	80
1	31	80
2	35	80
0	35	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize97.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	93.5%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Results

73.0ms

256×

valid

Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sin: 24.0ms (43.2% of total)

compiled-spec: 8.0ms (14.4% of total)

ival-mult: 7.0ms (12.6% of total)

ival-div: 5.0ms (9% of total)

ival-pow: 5.0ms (9% of total)

ival-sqrt: 4.0ms (7.2% of total)

ival-add: 3.0ms (5.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

Counts

11 → 240

Calls

Call 1

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

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

60 calls:

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

rewrite230.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`-lowering-.f32`
1716×	`-lowering-.f64`
1580×	`/-lowering-/.f32`
1580×	`/-lowering-/.f64`
1226×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	103	60
2	764	60
0	9832	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 284

Calls

Call 1

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

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

simplify274.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

5238×	`-lowering-.f32`
5238×	`-lowering-.f64`
1906×	`+-lowering-+.f64`
1906×	`+-lowering-+.f32`
1622×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	4445
1	1412	3710
2	5849	3695
0	8127	3695

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

eval85.0ms (0.6%)

Compiler: Compiled 14012 to 1576 computations (88.8% saved)

prune106.0ms (0.7%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	621	21	642
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	621	23	644

Accuracy

99.9%

Counts

644 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	72.1%	(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
▶	48.1%	(.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))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
✓	93.2%	(*.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))
▶	31.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	29.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	21.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	90.3%	(.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))))))
	92.6%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
	45.7%	(.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)))
	50.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	50.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	72.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 kx))))
▶	59.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	59.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	28.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	31.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	50.7%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	47.9%	(.f64 (sin.f64 ky) (.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)))))))
▶	28.9%	(sin.f64 th)

Compiler

Compiled 729 to 504 computations (30.9% saved)

simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	12992	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	cost-diff	12992	(/.f64 (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	12992	(.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))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	cost-diff	0	(sin.f64 kx)
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))

Rules

2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
2344×	`+-lowering-+.f64`
2344×	`+-lowering-+.f32`
1784×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	241
1	107	227
2	292	221
3	909	221
4	2894	221
5	5005	221
6	7838	221
0	8028	221

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(sin ky)
ky
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin kx)
kx
(sin th)
th
(sin th)
th
(* (/ (sin ky) (sin kx)) (sin th))
(/ (sin ky) (sin kx))
(sin ky)
ky
(sin kx)
kx
(sin th)
th
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(sin ky)
ky
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
(sin th)
th
(sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))
(* kx (+ 1 (* -1/6 (* kx kx))))
kx
(+ 1 (* -1/6 (* kx kx)))
1
(* -1/6 (* kx kx))
-1/6
(* kx kx)
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th 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)
(* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th)))))))
th
(+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))
1
(* th (* th (+ -1/6 (* 1/120 (* th th)))))
(* th (+ -1/6 (* 1/120 (* th th))))
(+ -1/6 (* 1/120 (* th th)))
-1/6
(* 1/120 (* th th))
1/120
(* th th)

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

localize206.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	98.0%	(.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))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
✓	accuracy	93.5%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
✓	accuracy	99.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.5%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))

Results

147.0ms

256×

valid

Compiler

Compiled 283 to 36 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 29.0ms (27.5% of total)

ival-sin: 18.0ms (17.1% of total)

compiled-spec: 15.0ms (14.2% of total)

ival-div: 14.0ms (13.3% of total)

ival-add: 8.0ms (7.6% of total)

...c/correct-round.rkt:119:19: 8.0ms (7.6% of total)

ival-sqrt: 6.0ms (5.7% of total)

ival-pow: 5.0ms (4.7% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

series60.0ms (0.4%)

Counts

17 → 384

Calls

Call 1

Inputs
#<alt (* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))>
#<alt (sin ky)>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))>
#<alt (sin th)>
#<alt (* (/ (sin ky) (sin kx)) (sin th))>
#<alt (/ (sin ky) (sin kx))>
#<alt (sin kx)>
#<alt (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))>
#<alt (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))>
#<alt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))))>
#<alt (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (* -1/6 (* kx kx))>
#<alt (* kx (+ 1 (* -1/6 (* kx kx))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin kx) 2)>

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 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 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 (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin 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) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin 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)>
#<alt (/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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))) (+ (* 1/36 (/ 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 (* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))>
#<alt (* 6 (/ (sin th) (pow kx 3)))>
#<alt (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (sin th) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4)))))) (pow kx 3)))>
#<alt (/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))>
#<alt (+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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 (* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (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 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 (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (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

96 calls:

Time	Variable		Point	Expression
8.0ms	kx	@	0	(* kx (+ 1 (* -1/6 (* kx kx))))
8.0ms	ky	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
7.0ms	ky	@	0	(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
2.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))))
2.0ms	ky	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))

rewrite273.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2792×	`-lowering-.f32`
2792×	`-lowering-.f64`
2440×	`/-lowering-/.f32`
2440×	`/-lowering-/.f64`
1838×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	127
1	229	122
2	1851	118
0	8373	118

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 385

Calls

Call 1

Inputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(sin ky)
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin th)
(* (/ (sin ky) (sin kx)) (sin th))
(/ (sin ky) (sin kx))
(sin kx)
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))))
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/6 (* kx kx))
(* kx (+ 1 (* -1/6 (* kx kx))))
(pow (sin ky) 2)
(pow (sin kx) 2)

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

simplify385.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

6082×	`-lowering-.f32`
6082×	`-lowering-.f64`
5744×	`+-lowering-+.f64`
5744×	`+-lowering-+.f32`
1472×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	778	8673
1	2806	7394
2	7955	7379
0	8033	7379

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 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)))
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)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin 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) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ ky (sin kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin 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)
(/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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))) (+ (* 1/36 (/ 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))))))))))))
(* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(* 6 (/ (sin th) (pow kx 3)))
(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (sin th) (pow kx 3)))
(* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4)))))) (pow kx 3)))
(/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 5) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(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)))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* -1/6 (pow kx 3))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(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
(/ (* 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 (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* 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 (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))
(* 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 (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.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)))))))) (+.f64 (.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 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (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))))
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ (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)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.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)))))))))
(+ (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))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.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 (.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))))) (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 (/.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 (.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)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.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 (.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))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (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))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.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)))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (.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))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.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))))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.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))))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (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))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) #s(literal 1/120 binary64))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx 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))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 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))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th 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)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (sin.f64 kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (sin.f64 kx)))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 7/360 binary64))) (.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal -7/360 binary64)))) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 1/840 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 7/360 binary64)))) (.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* th (sin ky)) (sin kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sin.f64 kx))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)) (sin.f64 kx)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 ky) #s(literal 7/360 binary64))) (.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 ky) #s(literal -7/360 binary64))) (.f64 (sin.f64 ky) #s(literal 1/840 binary64))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) #s(literal 7/360 binary64)))) (.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx)
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 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)
(/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ (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)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.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)))))))))
(+ (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))) (+ (* 1/36 (/ 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))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (.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))))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))))))))
(* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 kx (.f64 kx kx)))
(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (/.f64 #s(literal 36 binary64) kx) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)))) (.f64 kx (.f64 kx kx)))
(/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (sin.f64 th)) (+.f64 (.f64 (/.f64 #s(literal 36 binary64) kx) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) (.f64 #s(literal 216 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 kx #s(literal 4 binary64)))))) (.f64 kx (.f64 kx kx)))
(/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))
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(* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(.f64 (/.f64 #s(literal -6 binary64) kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (/.f64 #s(literal 36 binary64) kx) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (sin.f64 th)) (+.f64 (.f64 (/.f64 #s(literal 36 binary64) kx) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) (.f64 #s(literal 216 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 kx #s(literal 4 binary64)))))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (sin.f64 th)) (+.f64 (.f64 (/.f64 #s(literal 36 binary64) kx) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) (.f64 #s(literal 216 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 kx #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64)))))) (pow.f64 kx #s(literal 6 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))
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(* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))))
(* th (+ (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (.f64 ky ky))) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 ky ky)) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 6 binary64))))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx (.f64 kx kx)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx (.f64 ky ky)) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (+.f64 (/.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 8 binary64))))))))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 (.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))))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* 6 (/ (sin th) (pow kx 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow kx 2)))) (pow kx 3))
(/.f64 (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 kx kx))) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4))))) (pow kx 3))
(/.f64 (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))))) (.f64 kx (.f64 kx kx)))
(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4)))))) (pow kx 3))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) (.f64 kx (*.f64 kx kx)))
(* -6 (/ (sin th) (pow kx 3)))
(/.f64 (.f64 #s(literal -6 binary64) (sin.f64 th)) (.f64 kx (*.f64 kx kx)))
(* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow kx 2)))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 kx kx))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4))))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow kx 2))) (* 216 (/ (sin th) (pow kx 4)))))) (pow kx 3)))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 kx kx)) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sin kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (sin.f64 kx)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th 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)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
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(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 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 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
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(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th 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 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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 (pow.f64 th #s(literal 5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 th th)))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (+.f64 (.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 th 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)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64)))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (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) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (+.f64 (.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 th 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)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64)))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* -1 (* (pow th 5) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.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 (.f64 #s(literal -1/120 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (.f64 th th)))) (.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 5 binary64))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 (-.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 (.f64 #s(literal -1/120 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (.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))))) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 5 binary64))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 (-.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 (.f64 #s(literal -1/120 binary64) (sin.f64 ky)) (/.f64 (.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (.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))))) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 5 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))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.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)))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (.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))))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.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 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.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))))))) (-.f64 (.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 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 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))))))))
(* (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))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.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))))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.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))))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (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 ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx 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))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 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))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/3 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 ky ky) #s(literal 2/45 binary64))))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 ky ky) #s(literal -1/315 binary64))))))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal -1/3 binary64))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (.f64 kx kx))))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 kx kx) #s(literal -1/315 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))

eval134.0ms (0.9%)

Compiler: Compiled 26062 to 2302 computations (91.2% saved)

prune179.0ms (1.2%)

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	916	44	960
Fresh	9	7	16
Picked	1	4	5
Done	0	2	2
Total	926	57	983

Accuracy

100.0%

Counts

983 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
	16.3%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	15.2%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
	29.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	47.1%	(/.f64 (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	96.0%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	50.7%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	17.2%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	26.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	31.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	95.8%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.3%	(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (sin.f64 kx)) (sin.f64 th))
	47.1%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	17.7%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
▶	28.9%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
	31.8%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	39.1%	(.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
	75.9%	(.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sin.f64 th))
	28.6%	(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 th))
	32.2%	(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th))
▶	50.7%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	50.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	52.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	59.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
✓	93.2%	(*.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))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (sin.f64 th))
	19.4%	(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	31.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	19.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	22.7%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	17.9%	(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
	29.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	95.9%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	31.8%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	11.9%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	45.7%	(.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)))
	22.0%	(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
	33.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	33.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	33.3%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	59.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	34.1%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	28.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	31.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
▶	33.6%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	50.7%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	31.8%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	14.8%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	28.9%	(sin.f64 th)
▶	15.0%	th

Compiler

Compiled 1936 to 1329 computations (31.4% saved)

simplify221.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	(sin.f64 ky)
✓	cost-diff	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	cost-diff	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	cost-diff	(hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
✓	cost-diff	(/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
✓	cost-diff	(sin.f64 ky)
✓	cost-diff	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))
✓	cost-diff	(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
✓	cost-diff	(/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))
✓	cost-diff	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
✓	cost-diff	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	cost-diff	(sin.f64 th)
✓	cost-diff	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Rules

4144×	`sum4-define`
2334×	`-lowering-.f32`
2334×	`-lowering-.f64`
2296×	`sum5-define`
1288×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	214
1	108	202
2	287	193
3	811	193
4	2311	193
5	3480	193
6	6488	193
7	7398	193
8	7451	193
9	7451	193
10	7451	193
0	8631	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize188.0ms (1.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	97.3%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	accuracy	99.9%	(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	95.8%	(/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
✓	accuracy	93.8%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	accuracy	99.9%	(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))
✓	accuracy	99.7%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	95.0%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Results

129.0ms

256×

valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 30.0ms (29.9% of total)

compiled-spec: 23.0ms (22.9% of total)

ival-sin: 19.0ms (19% of total)

ival-div: 9.0ms (9% of total)

ival-add: 9.0ms (9% of total)

ival-sqrt: 6.0ms (6% of total)

...c/correct-round.rkt:119:19: 5.0ms (5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series56.0ms (0.4%)

Counts

20 → 432

Calls

Call 1

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

Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (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) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (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 (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 (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* -1/6 (/ (* (pow ky 3) (sin th)) (sin kx)))>
#<alt (* (pow ky 3) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* (pow ky 3) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* (pow ky 3) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* -1/6 (/ (* (pow ky 3) (sin th)) (sin kx)))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* 1/6 (/ (sin th) (sin kx))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* 1/6 (/ (sin th) (sin kx))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* 1/6 (/ (sin th) (sin kx))))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))) (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/120 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) (* -1/6 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (+ (* 1/720 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/6 (+ (* -1/36 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/120 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))))))) (+ (* -1/36 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/120 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) (* -1/6 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) kx)>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))) (* 1/120 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* -1/6 (/ (pow ky 3) (sin kx)))>
#<alt (* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))>
#<alt (* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))>
#<alt (* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))>
#<alt (* -1/6 (/ (pow ky 3) (sin kx)))>
#<alt (* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin kx))) (/ 1 (* (pow ky 2) (sin kx))))))>
#<alt (* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin kx))) (/ 1 (* (pow ky 2) (sin kx))))))>
#<alt (* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin kx))) (/ 1 (* (pow ky 2) (sin kx))))))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2))))) kx)>
#<alt (/ (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) kx)>
#<alt (/ (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (+ 1 (* -1/6 (pow ky 2))))) (+ (* 1/720 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/6 (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2))))))))))) (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) kx)>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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))) (+ (* 1/36 (/ 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 (* 6 (/ (* th (sin ky)) (pow kx 3)))>
#<alt (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (* th (sin ky)) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3)))>
#<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 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (/ th (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ th (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))>
#<alt (* 6 (/ th (pow kx 3)))>
#<alt (/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ th (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3)))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
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#<alt (sin ky)>
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#<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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (* 1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))>
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#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))>
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<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 (+ (* -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 (+ (* -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 (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (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)))))>
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#<alt 1>
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#<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))))))>
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#<alt (sin ky)>
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#<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)))>
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#<alt (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)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt kx>
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#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (* -1/6 (pow ky 2))>
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#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>

Calls

108 calls:

Time	Variable		Point	Expression
5.0ms	th	@	0	(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* th (+ 1 (* -1/6 (* th th)))))
4.0ms	th	@	inf	(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* th (+ 1 (* -1/6 (* th th)))))
3.0ms	ky	@	inf	(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
2.0ms	th	@	-inf	(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
2.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* th (+ 1 (* -1/6 (* th th)))))

rewrite321.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2860×	`-lowering-.f32`
2860×	`-lowering-.f64`
2326×	`/-lowering-/.f32`
2326×	`/-lowering-/.f64`
1964×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	159
1	239	150
2	2003	142
0	8605	142

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 418

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(sin.f64 th)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.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 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
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(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 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))
(.f64 ky (.f64 ky #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(.f64 (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 ky #s(literal -1/6 binary64)) ky)
(.f64 kx (.f64 kx #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(.f64 (.f64 kx kx) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))
(.f64 (.f64 kx #s(literal -1/6 binary64)) kx)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 kx #s(literal -1/6 binary64))) kx)
(+.f64 kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(+.f64 (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) kx)
(exp.f64 (.f64 (log.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) #s(literal 1 binary64)))
(fma.f64 kx #s(literal 1 binary64) (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(fma.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) kx)
(fma.f64 #s(literal 1 binary64) kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(fma.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)) kx)
(fma.f64 (.f64 kx kx) (.f64 kx #s(literal -1/6 binary64)) kx)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) kx kx)
(fma.f64 (.f64 kx #s(literal -1/6 binary64)) (.f64 kx kx) kx)
(fma.f64 (.f64 kx (.f64 kx kx)) #s(literal -1/6 binary64) kx)
(/.f64 (+.f64 (.f64 kx (.f64 kx kx)) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 kx (.f64 kx kx)))) (.f64 kx (.f64 kx kx)))) (+.f64 (.f64 kx kx) (-.f64 (.f64 (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (-.f64 (.f64 kx kx) (.f64 (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (-.f64 kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 kx (.f64 kx kx)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)))))
(/.f64 (.f64 kx (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 kx (.f64 kx kx))))) kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal 1/36 binary64))) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 kx kx))))
(/.f64 (neg.f64 (+.f64 (.f64 kx (.f64 kx kx)) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 kx (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))) (neg.f64 (+.f64 (.f64 kx kx) (-.f64 (.f64 (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(/.f64 (neg.f64 (-.f64 (.f64 kx kx) (.f64 (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (neg.f64 (-.f64 kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (neg.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 kx (.f64 kx kx))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 kx (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 kx kx)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 kx (.f64 kx kx))))) kx)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal 1/36 binary64))) kx)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 kx kx)))))
(pow.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) #s(literal 1 binary64))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 kx (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) kx)
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 1 binary64)) kx)
(.f64 th (.f64 th #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(.f64 (.f64 th th) #s(literal -1/6 binary64))
(.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 th #s(literal -1/6 binary64)) th)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/6 binary64))) th)

simplify363.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

6502×	`-lowering-.f32`
6502×	`-lowering-.f64`
6286×	`+-lowering-+.f64`
6286×	`+-lowering-+.f32`
1596×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	9018
1	2983	7697
0	8251	7697

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (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) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (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)))
(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)))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* -1/6 (/ (* (pow ky 3) (sin th)) (sin kx)))
(* (pow ky 3) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 3) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 3) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* -1/6 (/ (* (pow ky 3) (sin th)) (sin kx)))
(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* 1/6 (/ (sin th) (sin kx))))))
(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* 1/6 (/ (sin th) (sin kx))))))
(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* 1/6 (/ (sin th) (sin kx))))))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))) (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) kx)
(/ (+ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/120 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) (* -1/6 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) kx)
(/ (+ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (+ (* 1/720 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/6 (+ (* -1/36 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/120 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))))))) (+ (* -1/36 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* 1/120 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) (* -1/6 (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) kx)
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* th (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))) (* 1/120 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
(/ ky (sin kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* -1/6 (/ (pow ky 3) (sin kx)))
(* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))
(* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))
(* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))
(* -1/6 (/ (pow ky 3) (sin kx)))
(* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin kx))) (/ 1 (* (pow ky 2) (sin kx))))))
(* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin kx))) (/ 1 (* (pow ky 2) (sin kx))))))
(* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin kx))) (/ 1 (* (pow ky 2) (sin kx))))))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2))))) kx)
(/ (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/ (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (+ 1 (* -1/6 (pow ky 2))))) (+ (* 1/720 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/6 (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2))))))))))) (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* -1/6 (pow ky 3))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
1
(+ 1 (* -1/6 (pow ky 2)))
(+ 1 (* -1/6 (pow ky 2)))
(+ 1 (* -1/6 (pow ky 2)))
(* -1/6 (pow ky 2))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 2))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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))) (+ (* 1/36 (/ 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))))))))))))
(* 6 (/ (* th (sin ky)) (pow kx 3)))
(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* th (sin ky)) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3)))
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 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ th (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))
(* 6 (/ th (pow kx 3)))
(/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3))
(* -6 (/ th (pow kx 3)))
(* -1 (/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3)))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(* 1/6 (pow kx 3))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/6 (pow th 2))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -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 (+ (* -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)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (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 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)))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(* -1/6 (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))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* -1/6 (pow kx 3))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 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))

Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.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 (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.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 (.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))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* 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 (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))
(* 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))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (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)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(+ (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))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (+.f64 (*.f64 (sin.f64 kx) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))))))) ky)
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))) (* 1/120 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(.f64 th (+.f64 (.f64 ky (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (.f64 ky (.f64 th th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))) (/.f64 (.f64 (.f64 #s(literal 1/120 binary64) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))))))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
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(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
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(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
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(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin kx))
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(/.f64 ky (sin.f64 kx))
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(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
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(* -1/6 (/ (pow ky 3) (sin kx)))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 kx))
(* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))
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(* (pow ky 3) (- (/ 1 (* (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx)))))
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(* -1/6 (/ (pow ky 3) (sin kx)))
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(/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2))))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) kx)
(/ (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/.f64 (+.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) #s(literal 7/360 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))) kx)
(/ (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (+ 1 (* -1/6 (pow ky 2))))) (+ (* 1/720 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/6 (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2))))))))))) (+ (* -1/36 (* ky (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* ky (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/.f64 (+.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) #s(literal 1/840 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) #s(literal -7/360 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) #s(literal 7/360 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))) kx)
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(.f64 ky (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) (sin.f64 kx)))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
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(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
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(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
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(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
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(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
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ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
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(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) #s(literal -1/6 binary64)))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
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(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
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(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
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(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
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1
#s(literal 1 binary64)
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(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
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(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
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(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
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(* -1/6 (pow ky 2))
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(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
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(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
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(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
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(/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+.f64 th (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 th (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ 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)))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 (.f64 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))))))))))
(+ 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))) (+ (* 1/36 (/ 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))))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.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))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 (.f64 #s(literal 1/2 binary64) th) (.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)))))))))))
(* 6 (/ (* th (sin ky)) (pow kx 3)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))
(/.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx))) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64))))) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 kx #s(literal 6 binary64)))) (.f64 kx (*.f64 kx kx)))
(* -6 (/ (* th (sin ky)) (pow kx 3)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx))) (neg.f64 (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3)))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64))))) (neg.f64 (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3)))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 kx #s(literal 6 binary64)))) (neg.f64 (.f64 kx (*.f64 kx kx))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (.f64 ky ky))) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 (.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 th (.f64 ky ky)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 6 binary64)))))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx th) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx (.f64 ky ky)) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (+.f64 (/.f64 #s(literal 2/45 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 8 binary64))))))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))
(/ th (sin ky))
(/.f64 th (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))
(+.f64 (/.f64 th (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 th (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ th (sin ky)))
(+.f64 (/.f64 th (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 (.f64 th (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))
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(* 6 (/ th (pow kx 3)))
(.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (*.f64 kx kx))))
(/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3))
(/.f64 (+.f64 (.f64 th #s(literal 6 binary64)) (.f64 #s(literal 36 binary64) (/.f64 th (.f64 kx kx)))) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3))
(/.f64 (+.f64 (.f64 th #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 36 binary64) (/.f64 th (.f64 kx kx))) (/.f64 (.f64 #s(literal 216 binary64) th) (pow.f64 kx #s(literal 4 binary64))))) (.f64 kx (.f64 kx kx)))
(/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3))
(/.f64 (+.f64 (.f64 th #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 #s(literal 36 binary64) (/.f64 th (.f64 kx kx))) (/.f64 (.f64 #s(literal 216 binary64) th) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 th (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 kx #s(literal 6 binary64))))) (.f64 kx (*.f64 kx kx)))
(* -6 (/ th (pow kx 3)))
(/.f64 (.f64 #s(literal -6 binary64) th) (.f64 kx (*.f64 kx kx)))
(* -1 (/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3)))
(/.f64 (+.f64 (.f64 th #s(literal 6 binary64)) (.f64 #s(literal 36 binary64) (/.f64 th (.f64 kx kx)))) (neg.f64 (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3)))
(/.f64 (+.f64 (.f64 th #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 36 binary64) (/.f64 th (.f64 kx kx))) (/.f64 (.f64 #s(literal 216 binary64) th) (pow.f64 kx #s(literal 4 binary64))))) (neg.f64 (.f64 kx (.f64 kx kx))))
(* -1 (/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3)))
(/.f64 (+.f64 (.f64 th #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 #s(literal 36 binary64) (/.f64 th (.f64 kx kx))) (/.f64 (.f64 #s(literal 216 binary64) th) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 th (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 kx #s(literal 6 binary64))))) (neg.f64 (.f64 kx (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
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(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
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(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
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(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
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(+ (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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (sin.f64 ky)))))))
(* 1/6 (pow kx 3))
(.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))
(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))) (neg.f64 (.f64 kx (*.f64 kx kx))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 6 binary64))) (-.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 kx kx))))) (neg.f64 (.f64 kx (.f64 kx kx))))
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (sin.f64 kx)) (.f64 (.f64 #s(literal -1/12 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th 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)))))))))))))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 th (.f64 kx kx)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (.f64 kx kx)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.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 (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th (*.f64 th 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))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 (.f64 th (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 (.f64 th (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 (.f64 th (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (.f64 th th)))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (.f64 th (*.f64 th 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))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.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 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 ky)) (.f64 th th)) (.f64 #s(literal 1/6 binary64) (sin.f64 ky)))) (.f64 #s(literal -1 binary64) (.f64 th (.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.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 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 ky)) (.f64 th th)) (.f64 #s(literal 1/6 binary64) (sin.f64 ky)))) (.f64 #s(literal -1 binary64) (.f64 th (.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(.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 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 ky)) (.f64 th th)) (.f64 #s(literal 1/6 binary64) (sin.f64 ky)))) (.f64 #s(literal -1 binary64) (.f64 th (.f64 th 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))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.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)))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (-.f64 (.f64 (.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 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 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))))))))
(* (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))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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))))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.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))))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (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 ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (sin.f64 ky)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))
(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)
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx)))))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))

eval120.0ms (0.8%)

Compiler: Compiled 25282 to 2403 computations (90.5% saved)

prune191.0ms (1.3%)

Pruning

83 alts after pruning (75 fresh and 8 done)

	Pruned	Kept	Total
New	924	44	968
Fresh	15	31	46
Picked	3	2	5
Done	0	6	6
Total	942	83	1025

Accuracy

100.0%

Counts

1025 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	14.7%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
	16.3%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	10.9%	(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
	15.3%	(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
	15.5%	(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
	18.3%	(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
	96.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	29.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	47.1%	(/.f64 (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.1%	(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
	17.2%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	26.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	10.4%	(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
	75.9%	(/.f64 (sin.f64 th) (/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sin.f64 ky)))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	59.3%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	52.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	31.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	29.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	50.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	26.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.3%	(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (sin.f64 kx)) (sin.f64 th))
	9.7%	(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
	16.0%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
	47.1%	(.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))
	21.0%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
	10.7%	(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
	10.7%	(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
	31.8%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	28.6%	(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 th))
	32.2%	(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th))
	26.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	50.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	27.2%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	52.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	33.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	93.2%	(*.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))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (sin.f64 th))
	19.4%	(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	31.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	19.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	22.7%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	29.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	31.8%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	12.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	50.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	45.7%	(.f64 (.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))))))
	22.0%	(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
	33.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	33.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	59.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	34.1%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	31.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
▶	21.7%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
▶	50.7%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	33.8%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
	21.6%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	16.0%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
▶	13.6%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
	21.4%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
	12.1%	(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
	16.1%	(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
	10.5%	(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
	10.0%	(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
	14.9%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	31.8%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	10.5%	(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
▶	14.8%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	21.2%	(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	15.6%	(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
	11.4%	(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
	28.9%	(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
✓	28.9%	(sin.f64 th)
✓	15.0%	th

Compiler

Compiled 3064 to 1945 computations (36.5% saved)

simplify304.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	cost-diff	0	(hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
✓	cost-diff	0	(/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	cost-diff	768	(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	cost-diff	768	(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
✓	cost-diff	768	(/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
✓	cost-diff	768	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
✓	cost-diff	0	(*.f64 th th)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
✓	cost-diff	0	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	cost-diff	128	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))

Rules

5584×	`-lowering-.f32`
5584×	`-lowering-.f64`
2782×	`+-lowering-+.f64`
2782×	`+-lowering-+.f32`
2544×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	663
1	198	607
2	766	570
3	3358	536
4	5984	536
5	6846	536
6	7249	536
7	7351	536
8	7351	536
0	8501	536

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))
(sin th)
th
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
1
(/ (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 (+ 1 (* -1/6 (* th th))))
th
(+ 1 (* -1/6 (* th th)))
1
(* -1/6 (* th th))
-1/6
(* th th)
(* (sin ky) (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))))
(sin ky)
ky
(/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))))
th
(+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))
(* kx (+ 1 (* -1/6 (* kx kx))))
kx
(+ 1 (* -1/6 (* kx kx)))
1
(* -1/6 (* kx kx))
-1/6
(* kx kx)
(* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))
(* ky ky)
(+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))
(/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx)))))
(* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx)))))))))
-1/2
(* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))
(+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx)))))))
1/3
(/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))
1/4
(* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx)))))
(* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))
(/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))
1/2
(* (sin ky) (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(sin ky)
ky
(/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
th
(sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))
(* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))
(+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))
1
(* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))
(* ky ky)
(+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)
(* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky))))
(+ 1/120 (* -1/5040 (* ky ky)))
1/120
(* -1/5040 (* ky ky))
-1/5040
-1/6
(* kx (+ 1 (* -1/6 (* kx kx))))
kx
(+ 1 (* -1/6 (* kx kx)))
(* -1/6 (* kx kx))
(* kx kx)
(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(sin ky)
ky
(/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
th
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx

Outputs
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin th)
(sin.f64 th)
th
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1
#s(literal 1 binary64)
(/ (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 (+ 1 (* -1/6 (* th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
th
(+ 1 (* -1/6 (* th th)))
(+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* -1/6 (* th th))
(.f64 th (.f64 th #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* th th)
(*.f64 th th)
(* (sin ky) (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))))
(/.f64 (.f64 th (sin.f64 ky)) (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (/.f64 (/.f64 (.f64 ky ky) kx) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64)))))))))) #s(literal 1/2 binary64)))))
(sin ky)
(sin.f64 ky)
ky
(/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (/.f64 (/.f64 (.f64 ky ky) kx) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 kx kx) #s(literal 1/36 binary64)))))))))) #s(literal 1/2 binary64)))))
th
(+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))
(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (/.f64 (/.f64 (.f64 ky ky) kx) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 kx kx) #s(literal 1/36 binary64)))))))))) #s(literal 1/2 binary64))))
(* kx (+ 1 (* -1/6 (* kx kx))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))
kx
(+ 1 (* -1/6 (* kx kx)))
(+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* -1/6 (* kx kx))
(.f64 kx (.f64 kx #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* kx kx)
(*.f64 kx kx)
(* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))
(.f64 (/.f64 (/.f64 (.f64 ky ky) kx) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64)))))))))) #s(literal 1/2 binary64)))
(* ky ky)
(*.f64 ky ky)
(+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 ky ky) kx) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))))
(/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx)))))
(/.f64 (.f64 (/.f64 (.f64 ky ky) kx) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))
(* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx)))))))))
(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64))))))))))
-1/2
#s(literal -1/2 binary64)
(* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))
(.f64 ky (.f64 ky (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 kx kx) #s(literal 1/36 binary64))))))))))
(+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx)))))))
(+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 kx kx) #s(literal 1/36 binary64))))))))
1/3
#s(literal 1/3 binary64)
(/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 kx kx) #s(literal 1/36 binary64)))))))
1/4
#s(literal 1/4 binary64)
(* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx)))))
(.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64)))))))
(* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1/36 binary64))))))
(/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (sin ky) (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))))))))))
(sin ky)
(sin.f64 ky)
ky
(/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
(/.f64 th (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))))))))))
th
(sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))
(hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64))))))))))
(* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))))))))
(+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64))))))))
1
#s(literal 1 binary64)
(* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))
(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))))))
(* ky ky)
(*.f64 ky ky)
(+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64))))))
(* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky))))
(.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))))
(+ 1/120 (* -1/5040 (* ky ky)))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* -1/5040 (* ky ky))
(.f64 (.f64 ky ky) #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
-1/6
#s(literal -1/6 binary64)
(* kx (+ 1 (* -1/6 (* kx kx))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))
kx
(+ 1 (* -1/6 (* kx kx)))
(+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))
(* -1/6 (* kx kx))
(.f64 kx (.f64 kx #s(literal -1/6 binary64)))
(* kx kx)
(*.f64 kx kx)
(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
th
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx

localize372.0ms (2.6%)

Localize:

Found 20 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	99.6%	(/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	93.7%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	99.8%	(.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	97.0%	(/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
✓	accuracy	94.0%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	accuracy	95.2%	(/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
✓	accuracy	88.7%	(.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	accuracy	86.7%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
✓	accuracy	86.4%	(.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	99.9%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	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	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))

Results

233.0ms

256×

valid

Compiler

Compiled 865 to 53 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 42.0ms (32.8% of total)

ival-sin: 19.0ms (14.8% of total)

...c/correct-round.rkt:119:19: 17.0ms (13.3% of total)

ival-div: 16.0ms (12.5% of total)

compiled-spec: 15.0ms (11.7% of total)

ival-add: 13.0ms (10.2% of total)

ival-sqrt: 4.0ms (3.1% of total)

const: 1.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series105.0ms (0.7%)

Counts

24 → 552

Calls

Call 1

Inputs
#<alt (/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))>
#<alt (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (sin th)>
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (* th (+ 1 (* -1/6 (* th th))))>
#<alt (+ 1 (* -1/6 (* th th)))>
#<alt (* -1/6 (* th th))>
#<alt (* th th)>
#<alt (* (sin ky) (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))))>
#<alt (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))))>
#<alt (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))>
#<alt (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))>
#<alt (* (sin ky) (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))>
#<alt (sin ky)>
#<alt (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))>
#<alt (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))>
#<alt (* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))>
#<alt (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx)))))>
#<alt (* -1/6 (* kx kx))>
#<alt (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))>
#<alt (sin kx)>

Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (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) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (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) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
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#<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>
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#<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)))))>
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#<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 th>
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#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
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#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
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#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
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#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* (pow ky 2) (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (* 1/2 (/ (- (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))))>
#<alt (/ (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (pow ky 4))>
#<alt (/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (pow ky 4)))) (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))) (pow ky 4))>
#<alt (/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 4))) (* 8 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (pow ky 6)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))))) (pow ky 4))>
#<alt (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))))>
#<alt (/ (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (pow ky 4))>
#<alt (/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (pow ky 4)))) (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))) (pow ky 4))>
#<alt (/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 4))) (* 8 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (pow ky 6)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))))) (pow ky 4))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))>
#<alt (* -8 (/ (* (pow kx 3) (* th (sin ky))) (pow ky 4)))>
#<alt (* (pow kx 3) (+ (* -64 (/ (* (pow kx 2) (* th (* (sin ky) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))) (pow ky 6))) (* -8 (/ (* th (sin ky)) (pow ky 4)))))>
#<alt (* (pow kx 3) (+ (* -8 (/ (* th (sin ky)) (pow ky 4))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* 64 (/ (* th (* (sin ky) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2))) (pow ky 8)))))) (* 64 (/ (* th (* (sin ky) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow ky 6)))))))>
#<alt (* (pow kx 3) (+ (* -8 (/ (* th (sin ky)) (pow ky 4))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* 8 (/ (* (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (+ (* 64 (/ (* th (* (sin ky) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2))) (pow ky 8))))) (pow ky 2))) (+ (* 64 (/ (* th (* (sin ky) (- (* (pow ky 2) (+ 1/72 (* -1/2 (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) 1/6))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (* (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))))) (pow ky 10))))))) (+ (* 64 (/ (* th (* (sin ky) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2))) (pow ky 8)))))) (* 64 (/ (* th (* (sin ky) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow ky 6)))))))>
#<alt (* -6 (/ (* th (sin ky)) (pow kx 3)))>
#<alt (/ (+ (* -36 (/ (* th (sin ky)) (pow kx 2))) (* -6 (* th (sin ky)))) (pow kx 3))>
#<alt (/ (- (+ (* -216 (/ (* th (sin ky)) (pow kx 4))) (* -6 (* th (sin ky)))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))>
#<alt (/ (- (+ (* -6 (* th (sin ky))) (* -1 (/ (+ (* 36 (* (pow ky 2) (* th (* (sin ky) (- (pow ky 2) 3))))) (* 1296 (* th (sin ky)))) (pow kx 6)))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))>
#<alt (* -6 (/ (* th (sin ky)) (pow kx 3)))>
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#<alt (* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (* -1/8 (/ (pow ky 4) (pow kx 3)))>
#<alt (/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))) (pow kx 3))>
#<alt (/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (+ (* (pow kx 2) (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (pow kx 3))>
#<alt (/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* (pow kx 2) (* (pow ky 2) (+ 1/72 (* -1/2 (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (pow kx 3))>
#<alt (/ (* (pow ky 2) (- (pow ky 2) 3)) (pow kx 3))>
#<alt (/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2))) (pow kx 3))>
#<alt (/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2)) (/ (* (pow ky 2) (- (* 36 (pow ky 2)) 108)) (pow kx 4)))) (pow kx 3))>
#<alt (/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (+ (/ (* (pow ky 2) (- (* -1/2 (- (* -54 (pow ky 2)) (* 432 (pow ky 2)))) 648)) (pow kx 6)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2)) (/ (* (pow ky 2) (- (* 36 (pow ky 2)) 108)) (pow kx 4))))) (pow kx 3))>
#<alt (* -1 (/ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (+ (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2)) (/ (* (pow ky 2) (+ 108 (* -36 (pow ky 2)))) (pow kx 4)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (+ (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2)) (+ (/ (* (pow ky 2) (+ 108 (* -36 (pow ky 2)))) (pow kx 4)) (/ (* (pow ky 2) (+ 648 (* 1/2 (- (* -54 (pow ky 2)) (* 432 (pow ky 2)))))) (pow kx 6))))) (pow kx 3)))>
#<alt (/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* 5040 (/ (* th (sin ky)) (pow ky 7)))>
#<alt (/ (+ (* 5040 (* th (sin ky))) (* 211680 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 7))>
#<alt (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (* 4656960 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 7))>
#<alt (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (+ (* 4656960 (/ (* th (sin ky)) (pow ky 4))) (* 43182720 (/ (* th (sin ky)) (pow ky 6)))))) (pow ky 7))>
#<alt (* -5040 (/ (* th (sin ky)) (pow ky 7)))>
#<alt (* -1 (/ (+ (* 5040 (* th (sin ky))) (* 211680 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 7)))>
#<alt (* -1 (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (* 4656960 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 7)))>
#<alt (* -1 (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (+ (* 4656960 (/ (* th (sin ky)) (pow ky 4))) (* 43182720 (/ (* th (sin ky)) (pow ky 6)))))) (pow ky 7)))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))) (+ (* 1/36 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 8)))))))))))) (* 1/2 (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))>
#<alt (* 6 (/ (* th (sin ky)) (pow kx 3)))>
#<alt (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (* th (sin ky)) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3)))>
#<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 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))>
#<alt (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* 5040 (/ th (pow ky 7)))>
#<alt (/ (+ (* 5040 th) (* 211680 (/ th (pow ky 2)))) (pow ky 7))>
#<alt (/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (* 4656960 (/ th (pow ky 4))))) (pow ky 7))>
#<alt (/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (+ (* 4656960 (/ th (pow ky 4))) (* 43182720 (/ th (pow ky 6)))))) (pow ky 7))>
#<alt (* -5040 (/ th (pow ky 7)))>
#<alt (* -1 (/ (+ (* 5040 th) (* 211680 (/ th (pow ky 2)))) (pow ky 7)))>
#<alt (* -1 (/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (* 4656960 (/ th (pow ky 4))))) (pow ky 7)))>
#<alt (* -1 (/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (+ (* 4656960 (/ th (pow ky 4))) (* 43182720 (/ th (pow ky 6)))))) (pow ky 7)))>
#<alt (/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) th) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ th (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))))))))))) (/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))>
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#<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))))>
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#<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))))))))))))>
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#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))>
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#<alt (/ (+ (* 1/4 (pow ky 2)) (* 5/12 (* (pow kx 2) (pow ky 2)))) (pow kx 2))>
#<alt (/ (+ (* 1/4 (pow ky 2)) (* (pow kx 2) (+ (* 1/48 (* (pow kx 2) (pow ky 2))) (* 5/12 (pow ky 2))))) (pow kx 2))>
#<alt (/ (+ (* 1/4 (pow ky 2)) (* (pow kx 2) (+ (* 5/12 (pow ky 2)) (* (pow kx 2) (+ (* 1/216 (* (pow kx 2) (pow ky 2))) (* 1/48 (pow ky 2))))))) (pow kx 2))>
#<alt (* 1/3 (pow ky 2))>
#<alt (+ (* 1/3 (pow ky 2)) (* 9 (/ (pow ky 2) (pow kx 6))))>
#<alt (+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (* 108 (/ (pow ky 2) (pow kx 8)))))>
#<alt (+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (+ (* 108 (/ (pow ky 2) (pow kx 8))) (* 972 (/ (pow ky 2) (pow kx 10))))))>
#<alt (* 1/3 (pow ky 2))>
#<alt (+ (* 1/3 (pow ky 2)) (* 9 (/ (pow ky 2) (pow kx 6))))>
#<alt (+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (* 108 (/ (pow ky 2) (pow kx 8)))))>
#<alt (+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (+ (* 108 (/ (pow ky 2) (pow kx 8))) (* 972 (/ (pow ky 2) (pow kx 10))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))>
#<alt (* -1/8 (/ (pow ky 2) (pow kx 3)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (* -1/8 (pow ky 2))) (pow kx 3))>
#<alt (/ (+ (* -1/8 (pow ky 2)) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow kx 3))>
#<alt (/ (+ (* -1/8 (pow ky 2)) (* (pow kx 2) (+ (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow kx 3))>
#<alt (/ (pow ky 2) (pow kx 3))>
#<alt (/ (+ (* 6 (/ (pow ky 2) (pow kx 2))) (pow ky 2)) (pow kx 3))>
#<alt (/ (+ (* 6 (/ (pow ky 2) (pow kx 2))) (+ (* 36 (/ (pow ky 2) (pow kx 4))) (pow ky 2))) (pow kx 3))>
#<alt (/ (+ (* -1/2 (/ (- (* -54 (pow ky 2)) (* 432 (pow ky 2))) (pow kx 6))) (+ (* 6 (/ (pow ky 2) (pow kx 2))) (+ (* 36 (/ (pow ky 2) (pow kx 4))) (pow ky 2)))) (pow kx 3))>
#<alt (/ (pow ky 2) (pow kx 3))>
#<alt (* -1 (/ (+ (* -6 (/ (pow ky 2) (pow kx 2))) (* -1 (pow ky 2))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* -36 (/ (pow ky 2) (pow kx 4))) (+ (* -6 (/ (pow ky 2) (pow kx 2))) (* -1 (pow ky 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* -36 (/ (pow ky 2) (pow kx 4))) (+ (* -6 (/ (pow ky 2) (pow kx 2))) (+ (* -1 (pow ky 2)) (* 1/2 (/ (- (* -54 (pow ky 2)) (* 432 (pow ky 2))) (pow kx 6)))))) (pow kx 3)))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))>
#<alt (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))>
#<alt (* -1/5040 (pow ky 6))>
#<alt (* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) 1/5040))>
#<alt (* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))>
#<alt (* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))>
#<alt (* -1/5040 (pow ky 6))>
#<alt (* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) 1/5040))>
#<alt (* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))>
#<alt (* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))>
#<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

138 calls:

Time	Variable		Point	Expression
15.0ms	th	@	-inf	(* th (+ 1 (* -1/6 (* th th))))
8.0ms	th	@	0	(* (sin ky) (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
4.0ms	th	@	0	(* (sin ky) (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))))
3.0ms	kx	@	0	(* (sin ky) (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
3.0ms	ky	@	inf	(* (sin ky) (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))))

rewrite407.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4580×	`-lowering-.f32`
4580×	`-lowering-.f64`
1762×	`pow-lowering-pow.f64`
1762×	`pow-lowering-pow.f32`
1758×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	417
1	417	357
2	4440	357
0	9304	357

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 377

Calls

Call 1

Inputs
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(sin th)
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(* th (+ 1 (* -1/6 (* th th))))
(+ 1 (* -1/6 (* th th)))
(* -1/6 (* th th))
(* th th)
(* (sin ky) (/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(+ (* kx (+ 1 (* -1/6 (* kx kx)))) (* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx))))))))
(* (* ky ky) (+ (/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx))))) (/ 1/2 (* kx (+ 1 (* -1/6 (* kx kx)))))))
(* (sin ky) (/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
(sin ky)
(/ th (sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
(sqrt (+ (* (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6)))) (* ky (+ 1 (* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))))) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))
(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/ th (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))
(/ (* -1/2 (* (* ky ky) (+ 1/3 (/ 1/4 (* (* kx kx) (* (+ 1 (* -1/6 (* kx kx))) (+ 1 (* -1/6 (* kx kx))))))))) (* kx (+ 1 (* -1/6 (* kx kx)))))
(* -1/6 (* kx kx))
(* (* ky ky) (+ (* (* ky ky) (+ 1/120 (* -1/5040 (* ky ky)))) -1/6))
(sin kx)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(sin.f64 th)
(/.f64 (sin.f64 th) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(sin.f64 ky)
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(pow.f64 (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))))))))) th) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))))))))) th) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 th (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (-.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky))) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(/.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky))))) #s(literal -1/216 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky)))) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))))))))
(/.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky)))) #s(literal -1/36 binary64))) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))) #s(literal 1/6 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky))))) #s(literal -1/216 binary64)) (.f64 ky ky)) (+.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky)))) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))))))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))) (.f64 (.f64 ky ky) (.f64 ky ky)))) #s(literal -1/36 binary64)) (.f64 ky ky)) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))
(.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64))))))))
(.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))))))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64)))))) (.f64 ky ky))
(.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))) #s(literal 1 binary64))
(.f64 (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64))))))) ky)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 ky (.f64 ky #s(literal -1/5040 binary64))))))) (*.f64 ky ky))
(sin.f64 kx)

simplify753.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

5964×	`-lowering-.f32`
5964×	`-lowering-.f64`
3984×	`+-lowering-+.f64`
3984×	`+-lowering-+.f32`
1958×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1402	17816
1	4916	15471
0	8300	15471

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (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) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (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)
(/ 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)))))
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
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -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)
(/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (* 1/2 (/ (- (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))))
(/ (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (pow ky 4)))) (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 4))) (* 8 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (pow ky 6)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))))) (pow ky 4))
(* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))))
(/ (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (pow ky 4)))) (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 4))) (* 8 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (pow ky 6)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (+ (* 2 (/ (* kx (* th (* (sin ky) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (* 4 (/ (* (pow kx 3) (* th (* (sin ky) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))))) (pow ky 4))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ (* th (sin ky)) (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(* -8 (/ (* (pow kx 3) (* th (sin ky))) (pow ky 4)))
(* (pow kx 3) (+ (* -64 (/ (* (pow kx 2) (* th (* (sin ky) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))) (pow ky 6))) (* -8 (/ (* th (sin ky)) (pow ky 4)))))
(* (pow kx 3) (+ (* -8 (/ (* th (sin ky)) (pow ky 4))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* 64 (/ (* th (* (sin ky) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2))) (pow ky 8)))))) (* 64 (/ (* th (* (sin ky) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow ky 6)))))))
(* (pow kx 3) (+ (* -8 (/ (* th (sin ky)) (pow ky 4))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* 8 (/ (* (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (+ (* 64 (/ (* th (* (sin ky) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2))) (pow ky 8))))) (pow ky 2))) (+ (* 64 (/ (* th (* (sin ky) (- (* (pow ky 2) (+ 1/72 (* -1/2 (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) 1/6))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (* (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))))) (pow ky 10))))))) (+ (* 64 (/ (* th (* (sin ky) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 8))) (* 512 (/ (* th (* (sin ky) (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2))) (pow ky 8)))))) (* 64 (/ (* th (* (sin ky) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow ky 6)))))))
(* -6 (/ (* th (sin ky)) (pow kx 3)))
(/ (+ (* -36 (/ (* th (sin ky)) (pow kx 2))) (* -6 (* th (sin ky)))) (pow kx 3))
(/ (- (+ (* -216 (/ (* th (sin ky)) (pow kx 4))) (* -6 (* th (sin ky)))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))
(/ (- (+ (* -6 (* th (sin ky))) (* -1 (/ (+ (* 36 (* (pow ky 2) (* th (* (sin ky) (- (pow ky 2) 3))))) (* 1296 (* th (sin ky)))) (pow kx 6)))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))
(* -6 (/ (* th (sin ky)) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (- (+ (* 6 (* th (sin ky))) (* 216 (/ (* th (sin ky)) (pow kx 4)))) (* -36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1296 (* th (sin ky))) (* 36 (* (pow ky 2) (* th (* (sin ky) (+ 3 (* -1 (pow ky 2)))))))) (pow kx 6))) (* 6 (* th (sin ky)))) (+ (* -216 (/ (* th (sin ky)) (pow kx 4))) (* -36 (/ (* th (sin ky)) (pow kx 2))))) (pow kx 3)))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(/ th (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))))
(* -8 (/ (* (pow kx 3) th) (pow ky 4)))
(* (pow kx 3) (+ (* -64 (/ (* (pow kx 2) (* th (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow ky 6))) (* -8 (/ th (pow ky 4)))))
(* (pow kx 3) (+ (* -8 (/ th (pow ky 4))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* 64 (/ (* th (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) (pow ky 8))) (* 512 (/ (* th (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2)) (pow ky 8)))))) (* 64 (/ (* th (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))) (pow ky 6)))))))
(* (pow kx 3) (+ (* -8 (/ th (pow ky 4))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* 8 (/ (* (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (+ (* 64 (/ (* th (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) (pow ky 8))) (* 512 (/ (* th (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2)) (pow ky 8))))) (pow ky 2))) (+ (* 64 (/ (* th (- (* (pow ky 2) (+ 1/72 (* -1/2 (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) 1/6)) (pow ky 8))) (* 512 (/ (* th (* (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow ky 10))))))) (+ (* 64 (/ (* th (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) (pow ky 8))) (* 512 (/ (* th (pow (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) 2)) (pow ky 8)))))) (* 64 (/ (* th (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))) (pow ky 6)))))))
(* -6 (/ th (pow kx 3)))
(/ (+ (* -36 (/ th (pow kx 2))) (* -6 th)) (pow kx 3))
(/ (- (+ (* -216 (/ th (pow kx 4))) (* -6 th)) (* 36 (/ th (pow kx 2)))) (pow kx 3))
(/ (- (+ (* -6 th) (* -1 (/ (+ (* 36 (* (pow ky 2) (* th (- (pow ky 2) 3)))) (* 1296 th)) (pow kx 6)))) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3))
(* -6 (/ th (pow kx 3)))
(* -1 (/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3)))
(* -1 (/ (- (+ (* 6 th) (* 216 (/ th (pow kx 4)))) (* -36 (/ th (pow kx 2)))) (pow kx 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1296 th) (* 36 (* (pow ky 2) (* th (+ 3 (* -1 (pow ky 2))))))) (pow kx 6))) (* 6 th)) (+ (* -216 (/ th (pow kx 4))) (* -36 (/ th (pow kx 2))))) (pow kx 3)))
(/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/4 (/ th (* (pow kx 5) (pow (+ 1 (* -1/6 (pow kx 2))) 5))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/4 (/ th (* (pow kx 5) (pow (+ 1 (* -1/6 (pow kx 2))) 5))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (* 1/4 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 5) (pow (+ 1 (* -1/6 (pow kx 2))) 5))))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/4 (/ th (* (pow kx 5) (pow (+ 1 (* -1/6 (pow kx 2))) 5))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))))
(/ (+ (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3))) (* 4 (/ (* (pow kx 3) (* th (pow (+ 1 (* -1/6 (pow kx 2))) 3))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (pow ky 4)))) (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 4))) (* 8 (/ (* (pow kx 3) (* th (pow (+ 1 (* -1/6 (pow kx 2))) 3))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (pow ky 6)))) (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (* 4 (/ (* (pow kx 3) (* th (pow (+ 1 (* -1/6 (pow kx 2))) 3))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))))) (pow ky 4))
(* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))))
(/ (+ (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3))) (* 4 (/ (* (pow kx 3) (* th (pow (+ 1 (* -1/6 (pow kx 2))) 3))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (pow ky 4)))) (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))) (pow ky 4))
(/ (- (+ (* -2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))) (* -1 (/ (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 4))) (* 8 (/ (* (pow kx 3) (* th (pow (+ 1 (* -1/6 (pow kx 2))) 3))) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (pow ky 6)))) (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 2) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2)))) (+ (* 2 (/ (* kx (* th (+ 1 (* -1/6 (pow kx 2))))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 3)))) (* 4 (/ (* (pow kx 3) (* th (pow (+ 1 (* -1/6 (pow kx 2))) 3))) (* (pow ky 4) (pow (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) 2))))))) (pow ky 4))
(* -1/8 (/ (pow ky 4) (pow kx 3)))
(/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))) (pow kx 3))
(/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (+ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (pow kx 3))
(/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (+ (* (pow kx 2) (+ 1 (+ (* (pow kx 2) (- (* (pow ky 2) (+ 1/72 (* -1/2 (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) 1/6)) (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (pow kx 3))
(* -1/6 (pow kx 3))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (+ (/ 1 (pow kx 2)) (/ (* (pow ky 2) (- (pow ky 2) 3)) (pow kx 6))) 1/6))
(* (pow kx 3) (- (+ (/ 1 (pow kx 2)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 8)) (/ (* (pow ky 2) (- (pow ky 2) 3)) (pow kx 6)))) 1/6))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (/ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (pow kx 6))) (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (/ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (pow kx 6)) (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 8)))) (/ 1 (pow kx 2)))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(* -1/2 (/ (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (/ 1/2 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (/ (* kx (+ 1 (* -1/6 (pow kx 2)))) (pow ky 4)))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (/ 1/2 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (/ (* kx (+ 1 (* -1/6 (pow kx 2)))) (pow ky 4)))))
(* -1/2 (/ (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (/ 1/2 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (/ (* kx (+ 1 (* -1/6 (pow kx 2)))) (pow ky 4)))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (/ 1/2 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (/ (* kx (+ 1 (* -1/6 (pow kx 2)))) (pow ky 4)))))
(* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))
(* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))
(* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2))))))))
(* -1/2 (/ (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* -1/2 (/ (* (pow ky 4) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* (pow ky 4) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))
(* -1/8 (/ (pow ky 4) (pow kx 3)))
(/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))) (pow kx 3))
(/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (+ (* (pow kx 2) (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (pow kx 3))
(/ (+ (* -1/8 (pow ky 4)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* (pow kx 2) (* (pow ky 2) (+ 1/72 (* -1/2 (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (* (pow ky 2) (+ 1/12 (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))))))))) (* (pow ky 2) (+ 1/2 (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (pow kx 3))
(/ (* (pow ky 2) (- (pow ky 2) 3)) (pow kx 3))
(/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2))) (pow kx 3))
(/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2)) (/ (* (pow ky 2) (- (* 36 (pow ky 2)) 108)) (pow kx 4)))) (pow kx 3))
(/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (+ (/ (* (pow ky 2) (- (* -1/2 (- (* -54 (pow ky 2)) (* 432 (pow ky 2)))) 648)) (pow kx 6)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2)) (/ (* (pow ky 2) (- (* 36 (pow ky 2)) 108)) (pow kx 4))))) (pow kx 3))
(* -1 (/ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (pow kx 3)))
(* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2))) (pow kx 3)))
(* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (+ (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2)) (/ (* (pow ky 2) (+ 108 (* -36 (pow ky 2)))) (pow kx 4)))) (pow kx 3)))
(* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (+ (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2)) (+ (/ (* (pow ky 2) (+ 108 (* -36 (pow ky 2)))) (pow kx 4)) (/ (* (pow ky 2) (+ 648 (* 1/2 (- (* -54 (pow ky 2)) (* 432 (pow ky 2)))))) (pow kx 6))))) (pow kx 3)))
(/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* 5040 (/ (* th (sin ky)) (pow ky 7)))
(/ (+ (* 5040 (* th (sin ky))) (* 211680 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 7))
(/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (* 4656960 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 7))
(/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (+ (* 4656960 (/ (* th (sin ky)) (pow ky 4))) (* 43182720 (/ (* th (sin ky)) (pow ky 6)))))) (pow ky 7))
(* -5040 (/ (* th (sin ky)) (pow ky 7)))
(* -1 (/ (+ (* 5040 (* th (sin ky))) (* 211680 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 7)))
(* -1 (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (* 4656960 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 7)))
(* -1 (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (+ (* 4656960 (/ (* th (sin ky)) (pow ky 4))) (* 43182720 (/ (* th (sin ky)) (pow ky 6)))))) (pow ky 7)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))) (+ (* 1/36 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 8)))))))))))) (* 1/2 (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
(* 6 (/ (* th (sin ky)) (pow kx 3)))
(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* th (sin ky)) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3)))
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 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* 5040 (/ th (pow ky 7)))
(/ (+ (* 5040 th) (* 211680 (/ th (pow ky 2)))) (pow ky 7))
(/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (* 4656960 (/ th (pow ky 4))))) (pow ky 7))
(/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (+ (* 4656960 (/ th (pow ky 4))) (* 43182720 (/ th (pow ky 6)))))) (pow ky 7))
(* -5040 (/ th (pow ky 7)))
(* -1 (/ (+ (* 5040 th) (* 211680 (/ th (pow ky 2)))) (pow ky 7)))
(* -1 (/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (* 4656960 (/ th (pow ky 4))))) (pow ky 7)))
(* -1 (/ (+ (* 5040 th) (+ (* 211680 (/ th (pow ky 2))) (+ (* 4656960 (/ th (pow ky 4))) (* 43182720 (/ th (pow ky 6)))))) (pow ky 7)))
(/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))
(+ (* -1/2 (/ (* (pow kx 2) th) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))))))))))) (/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))) (+ (* 1/36 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 8))))))))))) (* 1/2 (* ky (* th (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))))))))))) (/ th (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
(* 6 (/ th (pow kx 3)))
(/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3))
(* -6 (/ th (pow kx 3)))
(* -1 (/ (+ (* 6 th) (* 36 (/ th (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))) (pow kx 6))) (+ (* 6 th) (+ (* 36 (/ th (pow kx 2))) (* 216 (/ th (pow kx 4)))))) (pow kx 3)))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(* 1/5040 (pow ky 7))
(* (pow ky 7) (- 1/5040 (* 1/120 (/ 1 (pow ky 2)))))
(* (pow ky 7) (- (+ 1/5040 (/ 1/6 (pow ky 4))) (* 1/120 (/ 1 (pow ky 2)))))
(* (pow ky 7) (- (+ 1/5040 (/ 1/6 (pow ky 4))) (+ (* 1/120 (/ 1 (pow ky 2))) (/ 1 (pow ky 6)))))
(* -1/5040 (pow ky 7))
(* -1 (* (pow ky 7) (- 1/5040 (* 1/120 (/ 1 (pow ky 2))))))
(* -1 (* (pow ky 7) (- (+ 1/5040 (/ 1/6 (pow ky 4))) (* 1/120 (/ 1 (pow ky 2))))))
(* -1 (* (pow ky 7) (- (+ 1/5040 (/ 1/6 (pow ky 4))) (+ (* 1/120 (/ 1 (pow ky 2))) (/ 1 (pow ky 6))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(+ (* 1/2 (/ (pow kx 2) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))
(+ (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) (* 1/2 (/ 1 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))))))
(+ (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) (* 1/2 (/ (* (pow kx 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))))) (* 1/2 (/ 1 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))))))
(* 1/6 (pow kx 3))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 6)))) (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 6))) (* 18 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 8))))) (/ 1 (pow kx 2))))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 6)))) (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 6))) (* 18 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 8))))) (/ 1 (pow kx 2)))))
(/ (* 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 (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
(+ 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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ th (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3))) (/ th (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ th (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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))))))))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ th (sin kx)))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ th (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (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)))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))))
(* 1/4 (/ (pow ky 2) (pow kx 2)))
(/ (+ (* 1/4 (pow ky 2)) (* 5/12 (* (pow kx 2) (pow ky 2)))) (pow kx 2))
(/ (+ (* 1/4 (pow ky 2)) (* (pow kx 2) (+ (* 1/48 (* (pow kx 2) (pow ky 2))) (* 5/12 (pow ky 2))))) (pow kx 2))
(/ (+ (* 1/4 (pow ky 2)) (* (pow kx 2) (+ (* 5/12 (pow ky 2)) (* (pow kx 2) (+ (* 1/216 (* (pow kx 2) (pow ky 2))) (* 1/48 (pow ky 2))))))) (pow kx 2))
(* 1/3 (pow ky 2))
(+ (* 1/3 (pow ky 2)) (* 9 (/ (pow ky 2) (pow kx 6))))
(+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (* 108 (/ (pow ky 2) (pow kx 8)))))
(+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (+ (* 108 (/ (pow ky 2) (pow kx 8))) (* 972 (/ (pow ky 2) (pow kx 10))))))
(* 1/3 (pow ky 2))
(+ (* 1/3 (pow ky 2)) (* 9 (/ (pow ky 2) (pow kx 6))))
(+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (* 108 (/ (pow ky 2) (pow kx 8)))))
(+ (* 1/3 (pow ky 2)) (+ (* 9 (/ (pow ky 2) (pow kx 6))) (+ (* 108 (/ (pow ky 2) (pow kx 8))) (* 972 (/ (pow ky 2) (pow kx 10))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* -1/8 (/ (pow ky 2) (pow kx 3)))
(/ (+ (* -1/2 (* (pow kx 2) (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (* -1/8 (pow ky 2))) (pow kx 3))
(/ (+ (* -1/8 (pow ky 2)) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow kx 3))
(/ (+ (* -1/8 (pow ky 2)) (* (pow kx 2) (+ (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow kx 3))
(/ (pow ky 2) (pow kx 3))
(/ (+ (* 6 (/ (pow ky 2) (pow kx 2))) (pow ky 2)) (pow kx 3))
(/ (+ (* 6 (/ (pow ky 2) (pow kx 2))) (+ (* 36 (/ (pow ky 2) (pow kx 4))) (pow ky 2))) (pow kx 3))
(/ (+ (* -1/2 (/ (- (* -54 (pow ky 2)) (* 432 (pow ky 2))) (pow kx 6))) (+ (* 6 (/ (pow ky 2) (pow kx 2))) (+ (* 36 (/ (pow ky 2) (pow kx 4))) (pow ky 2)))) (pow kx 3))
(/ (pow ky 2) (pow kx 3))
(* -1 (/ (+ (* -6 (/ (pow ky 2) (pow kx 2))) (* -1 (pow ky 2))) (pow kx 3)))
(* -1 (/ (+ (* -36 (/ (pow ky 2) (pow kx 4))) (+ (* -6 (/ (pow ky 2) (pow kx 2))) (* -1 (pow ky 2)))) (pow kx 3)))
(* -1 (/ (+ (* -36 (/ (pow ky 2) (pow kx 4))) (+ (* -6 (/ (pow ky 2) (pow kx 2))) (+ (* -1 (pow ky 2)) (* 1/2 (/ (- (* -54 (pow ky 2)) (* 432 (pow ky 2))) (pow kx 6)))))) (pow kx 3)))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow ky 2))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))
(* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))
(* -1/5040 (pow ky 6))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) 1/5040))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(* -1/5040 (pow ky 6))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) 1/5040))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
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
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.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 (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.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))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 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 (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.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 (.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))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
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(sin th)
(sin.f64 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))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.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)))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.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)))))) (+.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))))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.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))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (-.f64 (.f64 (.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 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 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))))))))
(* (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))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.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))))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.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))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (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))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* -1/6 (pow th 3))
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(* -1/6 (pow th 3))
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 th th))) (.f64 #s(literal -1 binary64) (.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 th th))) (.f64 #s(literal -1 binary64) (.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 th th))) (.f64 #s(literal -1 binary64) (.f64 th (*.f64 th th))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow th 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
(+ 1 (* -1/6 (pow th 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
(+ 1 (* -1/6 (pow th 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(* -1/6 (pow th 2))
(.f64 #s(literal -1/6 binary64) (.f64 th th))
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(* ky (+ (* (pow ky 2) (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (- (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* -1/2 (/ (* th (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (/ (- (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))))) (* 1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* -1/8 (/ (pow ky 4) (pow kx 3)))
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(/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2)) (/ (* (pow ky 2) (- (* 36 (pow ky 2)) 108)) (pow kx 4)))) (pow kx 3))
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(/ (+ (* (pow ky 2) (- (pow ky 2) 3)) (+ (/ (* (pow ky 2) (- (* -1/2 (- (* -54 (pow ky 2)) (* 432 (pow ky 2)))) 648)) (pow kx 6)) (+ (/ (* (pow ky 2) (- (* 6 (pow ky 2)) 18)) (pow kx 2)) (/ (* (pow ky 2) (- (* 36 (pow ky 2)) 108)) (pow kx 4))))) (pow kx 3))
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(* -1 (/ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (pow kx 3)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 ky ky)) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 ky ky)) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2))) (pow kx 3)))
(/.f64 (.f64 (.f64 ky ky) (+.f64 (-.f64 #s(literal 3 binary64) (.f64 ky ky)) (/.f64 (+.f64 #s(literal 18 binary64) (.f64 (.f64 ky ky) #s(literal -6 binary64))) (.f64 kx kx)))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (+ (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2)) (/ (* (pow ky 2) (+ 108 (* -36 (pow ky 2)))) (pow kx 4)))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (.f64 ky ky) (-.f64 #s(literal 3 binary64) (.f64 ky ky))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (.f64 (.f64 ky ky) #s(literal -6 binary64))) (.f64 kx kx)) (/.f64 (+.f64 #s(literal 108 binary64) (.f64 (.f64 ky ky) #s(literal -36 binary64))) (pow.f64 kx #s(literal 4 binary64)))))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* (pow ky 2) (+ 3 (* -1 (pow ky 2)))) (+ (/ (* (pow ky 2) (+ 18 (* -6 (pow ky 2)))) (pow kx 2)) (+ (/ (* (pow ky 2) (+ 108 (* -36 (pow ky 2)))) (pow kx 4)) (/ (* (pow ky 2) (+ 648 (* 1/2 (- (* -54 (pow ky 2)) (* 432 (pow ky 2)))))) (pow kx 6))))) (pow kx 3)))
(/.f64 (+.f64 (.f64 (.f64 ky ky) (+.f64 (-.f64 #s(literal 3 binary64) (.f64 ky ky)) (/.f64 (+.f64 #s(literal 18 binary64) (.f64 (.f64 ky ky) #s(literal -6 binary64))) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal 108 binary64) (.f64 (.f64 ky ky) #s(literal -36 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 648 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) #s(literal -486 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(/ (* ky th) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal 1/12 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 (.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 6 binary64)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 (.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 8 binary64)))) (/.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))))) (+.f64 (.f64 (.f64 #s(literal -1/12 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64))))))) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/240 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))))))))))
(* 5040 (/ (* th (sin ky)) (pow ky 7)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (pow.f64 ky #s(literal 7 binary64)))
(/ (+ (* 5040 (* th (sin ky))) (* 211680 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 7))
(/.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (/.f64 (.f64 #s(literal 211680 binary64) (.f64 th (sin.f64 ky))) (*.f64 ky ky))) (pow.f64 ky #s(literal 7 binary64)))
(/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (* 4656960 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 7))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (/.f64 (.f64 #s(literal 211680 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky))) (/.f64 (.f64 #s(literal 4656960 binary64) (*.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64)))) (pow.f64 ky #s(literal 7 binary64)))
(/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (+ (* 4656960 (/ (* th (sin ky)) (pow ky 4))) (* 43182720 (/ (* th (sin ky)) (pow ky 6)))))) (pow ky 7))
(/.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (+.f64 (/.f64 (.f64 #s(literal 211680 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal 4656960 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 43182720 binary64) (*.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 6 binary64)))))) (pow.f64 ky #s(literal 7 binary64)))
(* -5040 (/ (* th (sin ky)) (pow ky 7)))
(/.f64 (.f64 #s(literal -5040 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 7 binary64)))
(* -1 (/ (+ (* 5040 (* th (sin ky))) (* 211680 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 7)))
(/.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (/.f64 (.f64 #s(literal 211680 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky))) (.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 7 binary64))))
(* -1 (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (* 4656960 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 7)))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (/.f64 (.f64 #s(literal 211680 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky))) (/.f64 (.f64 #s(literal 4656960 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 7 binary64))))
(* -1 (/ (+ (* 5040 (* th (sin ky))) (+ (* 211680 (/ (* th (sin ky)) (pow ky 2))) (+ (* 4656960 (/ (* th (sin ky)) (pow ky 4))) (* 43182720 (/ (* th (sin ky)) (pow ky 6)))))) (pow ky 7)))
(/.f64 (+.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 5040 binary64)) (+.f64 (/.f64 (.f64 #s(literal 211680 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal 4656960 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 43182720 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 6 binary64)))))) (.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 7 binary64))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
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(/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6))))) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))) (+ (* 1/36 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 8)))))))))))) (* 1/2 (* ky (* th (* (sin ky) (* (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 6)))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
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(* 6 (/ (* th (sin ky)) (pow kx 3)))
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(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3))
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(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64)))) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3))
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 th (sin.f64 ky)) (-.f64 #s(literal 15552 binary64) (.f64 (.f64 #s(literal 1296 binary64) (.f64 ky ky)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))))))) (pow.f64 kx #s(literal 6 binary64)))) (.f64 kx (.f64 kx kx)))
(* -6 (/ (* th (sin ky)) (pow kx 3)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow kx 2)))) (pow kx 3)))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4))))) (pow kx 3)))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (pow kx 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow kx 2))) (* 216 (/ (* th (sin ky)) (pow kx 4)))))) (pow kx 3)))
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 kx kx)) (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 th (sin.f64 ky)) (-.f64 #s(literal 15552 binary64) (.f64 (.f64 #s(literal 1296 binary64) (.f64 ky ky)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))))))) (pow.f64 kx #s(literal 6 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2))))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))))))))
(/ th (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))
(+ (* -1/2 (/ (* (pow ky 2) th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 th (.f64 ky ky)) (.f64 kx (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 ky ky)) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 4 binary64)))) (/.f64 #s(literal 3/4 binary64) (.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) #s(literal 6 binary64)))))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))) (/ th (* kx (+ 1 (* -1/6 (pow kx 2))))))
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(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
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(+ (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)))))) (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) (* 1/2 (/ 1 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))))))
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(* 1/6 (pow kx 3))
(.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
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(* -1/6 (pow kx 3))
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(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
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(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 6)))) (/ 1 (pow kx 2)))))
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(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 6))) (* 18 (/ (* (pow ky 2) (pow (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))) 2)) (pow kx 8))))) (/ 1 (pow kx 2)))))
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(/ (* ky th) (sin kx))
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(* 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)))))
(.f64 (.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 (.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)))))
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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 (.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)))))
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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 (.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)))))
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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 (.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 (.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
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 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)))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 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)))))))))
(+ 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))))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.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))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 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)))))))))))
(* (* 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 kx))
(/.f64 th (sin.f64 kx))
(+ (* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3))) (/ th (sin kx)))
(+.f64 (/.f64 th (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ th (sin kx)))
(+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (.f64 ky ky)) (.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))))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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))))))))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ th (sin kx)))
(+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (.f64 th (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #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)))))))))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ th (sin ky))
(/.f64 th (sin.f64 ky))
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(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(* -1/8 (/ (pow ky 2) (pow kx 3)))
(/.f64 (.f64 (.f64 ky ky) #s(literal -1/8 binary64)) (.f64 kx (.f64 kx kx)))
(/ (+ (* -1/2 (* (pow kx 2) (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))) (* -1/8 (pow ky 2))) (pow kx 3))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))) (.f64 (.f64 ky ky) #s(literal -1/8 binary64))) (.f64 kx (*.f64 kx kx)))
(/ (+ (* -1/8 (pow ky 2)) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))) (pow kx 3))
(/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))) (.f64 kx (.f64 kx kx)))
(/ (+ (* -1/8 (pow ky 2)) (* (pow kx 2) (+ (* -1/2 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (- (* 1/216 (pow ky 2)) (* -1/6 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))) (* -1/2 (- (* 1/48 (pow ky 2)) (* -1/6 (- (* 5/12 (pow ky 2)) (* -1/24 (pow ky 2))))))))))) (pow kx 3))
(/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))) (.f64 (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/216 binary64)) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))))) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))) (.f64 kx (*.f64 kx kx)))
(/ (pow ky 2) (pow kx 3))
(/.f64 (.f64 ky ky) (.f64 kx (*.f64 kx kx)))
(/ (+ (* 6 (/ (pow ky 2) (pow kx 2))) (pow ky 2)) (pow kx 3))
(/.f64 (+.f64 (.f64 ky ky) (/.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) (.f64 kx kx))) (.f64 kx (.f64 kx kx)))
(/ (+ (* 6 (/ (pow ky 2) (pow kx 2))) (+ (* 36 (/ (pow ky 2) (pow kx 4))) (pow ky 2))) (pow kx 3))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) (.f64 kx kx)) (+.f64 (.f64 ky ky) (/.f64 (.f64 (.f64 ky ky) #s(literal 36 binary64)) (pow.f64 kx #s(literal 4 binary64))))) (.f64 kx (.f64 kx kx)))
(/ (+ (* -1/2 (/ (- (* -54 (pow ky 2)) (* 432 (pow ky 2))) (pow kx 6))) (+ (* 6 (/ (pow ky 2) (pow kx 2))) (+ (* 36 (/ (pow ky 2) (pow kx 4))) (pow ky 2)))) (pow kx 3))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal -486 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) (.f64 kx kx))) (+.f64 (.f64 ky ky) (/.f64 (.f64 (.f64 ky ky) #s(literal 36 binary64)) (pow.f64 kx #s(literal 4 binary64))))) (.f64 kx (*.f64 kx kx)))
(/ (pow ky 2) (pow kx 3))
(/.f64 (.f64 ky ky) (.f64 kx (*.f64 kx kx)))
(* -1 (/ (+ (* -6 (/ (pow ky 2) (pow kx 2))) (* -1 (pow ky 2))) (pow kx 3)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 ky ky) #s(literal -6 binary64)) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* -36 (/ (pow ky 2) (pow kx 4))) (+ (* -6 (/ (pow ky 2) (pow kx 2))) (* -1 (pow ky 2)))) (pow kx 3)))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 (.f64 ky ky) #s(literal -6 binary64)) (.f64 kx kx)) (.f64 ky ky)) (/.f64 (.f64 (.f64 ky ky) #s(literal -36 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx (*.f64 kx kx))))
(* -1 (/ (+ (* -36 (/ (pow ky 2) (pow kx 4))) (+ (* -6 (/ (pow ky 2) (pow kx 2))) (+ (* -1 (pow ky 2)) (* 1/2 (/ (- (* -54 (pow ky 2)) (* 432 (pow ky 2))) (pow kx 6)))))) (pow kx 3)))
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 (.f64 (.f64 ky ky) #s(literal -6 binary64)) (.f64 kx kx)) (.f64 ky ky)) (/.f64 (.f64 (.f64 ky ky) #s(literal -36 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) #s(literal -486 binary64))) (pow.f64 kx #s(literal 6 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx (.f64 kx kx))))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))
(.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64)))
(* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))
(.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))
(* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))
(.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64)))
(* -1/5040 (pow ky 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 6 binary64)))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) 1/5040))
(.f64 (pow.f64 ky #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/5040 binary64)))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(.f64 (pow.f64 ky #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 ky ky)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 4 binary64))))))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(.f64 (pow.f64 ky #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 ky ky)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 4 binary64))))))
(* -1/5040 (pow ky 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 6 binary64)))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) 1/5040))
(.f64 (pow.f64 ky #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/5040 binary64)))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(.f64 (pow.f64 ky #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 ky ky)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 4 binary64))))))
(* (pow ky 6) (- (* 1/120 (/ 1 (pow ky 2))) (+ 1/5040 (/ 1/6 (pow ky 4)))))
(.f64 (pow.f64 ky #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 ky ky)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 4 binary64))))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))
(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)

eval196.0ms (1.4%)

Compiler: Compiled 56450 to 3638 computations (93.6% saved)

prune272.0ms (1.9%)

Pruning

100 alts after pruning (90 fresh and 10 done)

	Pruned	Kept	Total
New	1113	33	1146
Fresh	13	57	70
Picked	3	2	5
Done	0	8	8
Total	1129	100	1229

Accuracy

100.0%

Counts

1229 → 100

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
	18.5%	(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	14.8%	(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
	6.8%	(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
	14.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	14.7%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
	16.3%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	10.4%	(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
	15.3%	(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
	15.5%	(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
	18.3%	(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
	96.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	29.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	47.1%	(/.f64 (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.1%	(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
	17.2%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	12.8%	(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	26.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	75.9%	(/.f64 (sin.f64 th) (/.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sin.f64 ky)))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	59.3%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	52.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	31.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	29.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	31.8%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
	50.7%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	13.7%	(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
	50.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	50.7%	(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	26.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.3%	(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (sin.f64 kx)) (sin.f64 th))
	9.7%	(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
	16.0%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
	47.1%	(.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))
	21.0%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
	10.7%	(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
	10.7%	(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
	28.6%	(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 th))
	32.2%	(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	50.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	27.2%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	52.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	33.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
✓	93.2%	(*.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))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (sin.f64 th))
✓	31.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	19.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	22.7%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	29.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	12.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	7.6%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	45.7%	(.f64 (.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))))))
	20.5%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	20.0%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	12.4%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
	20.1%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	12.6%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
	22.0%	(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
	16.1%	(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
	33.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	33.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	59.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	34.1%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	52.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	27.5%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
✓	50.7%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	33.8%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
	21.6%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	27.7%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
	6.2%	(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
	13.6%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
	11.6%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
	19.3%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
	12.1%	(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
	10.5%	(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
	10.0%	(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
	14.9%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	19.9%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	50.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
	31.8%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	10.5%	(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
✓	14.8%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	8.4%	(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
	10.5%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	21.4%	(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	21.2%	(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	13.7%	(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
	15.6%	(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
	18.3%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	11.4%	(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
	28.9%	(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
	10.5%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	28.9%	(sin.f64 th)
✓	15.0%	th

Compiler

Compiled 5176 to 1821 computations (64.8% saved)

regimes459.0ms (3.2%)

Counts

144 → 1

Calls

Call 1

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

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

Calls

9 calls:

64.0ms	(*.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))
60.0ms	kx
55.0ms	(sin.f64 th)
48.0ms	ky
43.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.6%	1	`kx`
99.6%	1	`ky`
99.6%	1	`th`
99.6%	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))`
99.6%	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)))))`
99.6%	1	`(sin.f64 ky)`
99.6%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.6%	1	`(sin.f64 kx)`
99.6%	1	`(sin.f64 th)`

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes245.0ms (1.7%)

Counts

120 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (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 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

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

Calls

6 calls:

51.0ms	kx
36.0ms	th
36.0ms	(sin.f64 th)
34.0ms	ky
33.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
99.6%	1	`kx`
99.6%	1	`ky`
99.6%	1	`th`
99.6%	1	`(sin.f64 ky)`
99.6%	1	`(sin.f64 kx)`
99.6%	1	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes270.0ms (1.9%)

Counts

119 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
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(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (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 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (.f64 (sin.f64 ky) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))))

Outputs

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

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

Calls

6 calls:

59.0ms	th
48.0ms	ky
38.0ms	(sin.f64 th)
34.0ms	kx
34.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
80.7%	2	`kx`
81.2%	4	`ky`
76.6%	2	`th`
79.0%	3	`(sin.f64 ky)`
82.6%	4	`(sin.f64 kx)`
76.9%	3	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes105.0ms (0.7%)

Counts

108 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (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 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))

Outputs

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

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

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

Calls

2 calls:

33.0ms	kx
30.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
80.8%	4	`(sin.f64 kx)`
79.9%	3	`kx`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes66.0ms (0.5%)

Counts

105 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (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 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))

Outputs

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

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

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

Calls

1 calls:

46.0ms

kx

Results

Accuracy	Segments	Branch
79.8%	3	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes52.0ms (0.4%)

Counts

101 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))

Outputs

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

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

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

Calls

1 calls:

29.0ms

kx

Results

Accuracy	Segments	Branch
79.8%	3	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.4%)

Counts

100 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))

Outputs

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

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

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

Calls

1 calls:

28.0ms

kx

Results

Accuracy	Segments	Branch
79.8%	3	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes57.0ms (0.4%)

Counts

99 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
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(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))

Outputs

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

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

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

Calls

1 calls:

36.0ms

kx

Results

Accuracy	Segments	Branch
79.8%	3	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes203.0ms (1.4%)

Counts

98 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))

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

Calls

5 calls:

55.0ms	(sin.f64 ky)
30.0ms	kx
29.0ms	ky
28.0ms	th
27.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
75.6%	2	`th`
76.2%	3	`(sin.f64 ky)`
58.6%	4	`(sin.f64 kx)`
76.8%	3	`ky`
61.3%	5	`kx`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes159.0ms (1.1%)

Counts

97 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

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

Calls

4 calls:

46.0ms	(sin.f64 ky)
35.0ms	ky
30.0ms	th
29.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
59.7%	4	`(sin.f64 ky)`
58.0%	2	`ky`
67.3%	4	`(sin.f64 th)`
64.2%	2	`th`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes220.0ms (1.5%)

Counts

96 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(/.f64 (.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))

Outputs

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

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

(sin.f64 th)

Calls

6 calls:

57.0ms	(sin.f64 ky)
32.0ms	ky
31.0ms	th
29.0ms	(sin.f64 kx)
26.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
50.5%	4	`(sin.f64 kx)`
53.8%	3	`(sin.f64 ky)`
47.1%	3	`kx`
47.8%	3	`ky`
52.4%	5	`(sin.f64 th)`
49.3%	3	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes41.0ms (0.3%)

Counts

88 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))))

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

Calls

1 calls:

25.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
51.1%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes105.0ms (0.7%)

Counts

77 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))

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

Calls

4 calls:

23.0ms	(sin.f64 kx)
23.0ms	(sin.f64 ky)
22.0ms	th
22.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
48.1%	3	`(sin.f64 kx)`
42.0%	2	`th`
45.1%	4	`(sin.f64 th)`
44.7%	2	`(sin.f64 ky)`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes80.0ms (0.6%)

Counts

76 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))

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

Calls

3 calls:

23.0ms	ky
21.0ms	(sin.f64 kx)
21.0ms	kx

Results

Accuracy	Segments	Branch
44.7%	2	`kx`
43.1%	2	`ky`
45.7%	3	`(sin.f64 kx)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes38.0ms (0.3%)

Counts

73 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))

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

Calls

1 calls:

23.0ms

kx

Results

Accuracy	Segments	Branch
44.7%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes77.0ms (0.5%)

Counts

71 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (/.f64 (/.f64 (sin.f64 th) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 ky (/.f64 th (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(/.f64 (+.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) #s(literal 3 binary64))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) (.f64 ky (.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 kx)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 th (/.f64 (+.f64 (.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64))))) (.f64 (.f64 kx kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 ky ky) #s(literal 1/48 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky ky) #s(literal 11/24 binary64)))))))))))) (.f64 kx (*.f64 kx kx)))))

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

Calls

3 calls:

22.0ms	(sin.f64 kx)
21.0ms	(sin.f64 ky)
20.0ms	kx

Results

Accuracy	Segments	Branch
43.2%	3	`(sin.f64 kx)`
43.2%	2	`(sin.f64 ky)`
42.4%	2	`kx`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes43.0ms (0.3%)

Counts

56 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 kx)) (sin.f64 th))

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

Calls

2 calls:

16.0ms	(sin.f64 ky)
16.0ms	ky

Results

Accuracy	Segments	Branch
43.1%	2	`ky`
43.0%	2	`(sin.f64 ky)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes41.0ms (0.3%)

Counts

51 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)

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

Calls

1 calls:

23.0ms

ky

Results

Accuracy	Segments	Branch
43.1%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes95.0ms (0.7%)

Counts

48 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th))
(/.f64 (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))
(/.f64 (.f64 (.f64 th ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 kx))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 kx kx)))))))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) kx)
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (/.f64 (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 ky ky) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 (.f64 ky ky) #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 kx kx)))) (.f64 kx (.f64 kx kx))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(/.f64 (sin.f64 ky) (/.f64 (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 ky (.f64 ky (.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))) th))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx #s(literal -1/6 binary64)) kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))

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

Calls

6 calls:

16.0ms	(sin.f64 th)
16.0ms	(sin.f64 ky)
15.0ms	ky
14.0ms	th
13.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
36.2%	2	`(sin.f64 kx)`
35.7%	2	`th`
35.8%	3	`(sin.f64 th)`
37.2%	2	`kx`
39.3%	2	`(sin.f64 ky)`
39.1%	2	`ky`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes39.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 #s(literal 6 binary64) (/.f64 th (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 th (.f64 #s(literal 1/6 binary64) (.f64 kx (.f64 kx kx)))))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal -6 binary64)) (.f64 kx (.f64 kx kx)))
(/.f64 (.f64 (.f64 th (sin.f64 ky)) #s(literal 6 binary64)) (.f64 kx (.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 (sin.f64 ky) (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))

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

Calls

4 calls:

9.0ms	kx
8.0ms	(sin.f64 ky)
8.0ms	(sin.f64 kx)
7.0ms	ky

Results

Accuracy	Segments	Branch
35.2%	2	`(sin.f64 kx)`
36.0%	2	`kx`
35.3%	2	`ky`
35.2%	2	`(sin.f64 ky)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes21.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(sin.f64 th)

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

Calls

3 calls:

7.0ms	ky
5.0ms	kx
5.0ms	th

Results

Accuracy	Segments	Branch
34.7%	2	`ky`
32.0%	2	`th`
33.3%	2	`kx`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 th ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 ky (+.f64 (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 ky (+.f64 (/.f64 (/.f64 th kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))))
(.f64 ky (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))) (/.f64 th (+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))))

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

Calls

3 calls:

6.0ms	th
5.0ms	kx
5.0ms	ky

Results

Accuracy	Segments	Branch
18.1%	2	`th`
21.0%	2	`kx`
24.1%	2	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	ky
2.0ms	kx

Results

Accuracy	Segments	Branch
19.8%	2	`kx`
19.4%	2	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

kx

Results

Accuracy	Segments	Branch
19.8%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

1.0ms	kx
1.0ms	ky
1.0ms	th

Results

Accuracy	Segments	Branch
15.0%	1	`th`
15.0%	1	`ky`
15.0%	1	`kx`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.0002699755203134147	0.20549909039589367

Results

23.0ms

128×

valid

Compiler

Compiled 297 to 218 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 8.0ms (43% of total)

ival-sin: 7.0ms (37.6% of total)

ival-div: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

ival-mult: 1.0ms (5.4% of total)

ival-sqrt: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.0364567007408862e+157	1.458927754098126e+158
24.0ms	0.0002699755203134147	0.20549909039589367

Results

35.0ms

224×

valid

Compiler

Compiled 417 to 276 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sin: 15.0ms (57.3% of total)

ival-pow: 5.0ms (19.1% of total)

ival-div: 2.0ms (7.6% of total)

ival-mult: 2.0ms (7.6% of total)

ival-sqrt: 2.0ms (7.6% of total)

ival-add: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch76.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.0364567007408862e+157	1.458927754098126e+158
44.0ms	0.0002699755203134147	0.20549909039589367

Results

64.0ms

224×

valid

Compiler

Compiled 417 to 276 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 23.0ms (67.6% of total)

ival-pow: 5.0ms (14.7% of total)

ival-mult: 2.0ms (5.9% of total)

ival-sqrt: 2.0ms (5.9% of total)

ival-div: 1.0ms (2.9% of total)

ival-add: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	2.0364567007408862e+157	1.458927754098126e+158
23.0ms	0.0002699755203134147	0.20549909039589367

Results

65.0ms

224×

valid

Compiler

Compiled 417 to 276 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 32.0ms (55.8% of total)

ival-sin: 16.0ms (27.9% of total)

ival-pow: 5.0ms (8.7% of total)

ival-div: 2.0ms (3.5% of total)

ival-mult: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0364567007408862e+157	1.458927754098126e+158
43.0ms	0.0002699755203134147	0.20549909039589367

Results

55.0ms

224×

valid

Compiler

Compiled 417 to 276 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sin: 36.0ms (76.7% of total)

ival-pow: 5.0ms (10.6% of total)

ival-div: 2.0ms (4.3% of total)

ival-mult: 2.0ms (4.3% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-add: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.0364567007408862e+157	1.458927754098126e+158
23.0ms	0.0002699755203134147	0.20549909039589367

Results

39.0ms

224×

valid

Compiler

Compiled 417 to 276 computations (33.8% saved)

Precisions

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

ival-sin: 18.0ms (60.8% of total)

ival-pow: 5.0ms (16.9% of total)

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

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

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

ival-add: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.0358987465299052	36299.62722521184

Results

22.0ms

128×

valid

Compiler

Compiled 249 to 170 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 10.0ms (57% of total)

ival-pow: 3.0ms (17.1% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-div: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

ival-mult: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.120387596572462e-9	3.804632675883617e-6

Results

18.0ms

128×

valid

Compiler

Compiled 185 to 130 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 7.0ms (53.2% of total)

ival-pow: 3.0ms (22.8% of total)

ival-div: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

ival-mult: 1.0ms (7.6% of total)

ival-sqrt: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.6837724133283766e-14	9.477134914327704e-14
0.0ms	-0.0024956265239653385	2.505323149509895e-306

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.034460716015675e-44	5.719809805869463e-43
0.0ms	-0.0024956265239653385	2.505323149509895e-306

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3192189474615346e-113	4.0496284067683775e-113
0.0ms	-0.09813385522560045	-0.017860290992500603

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.3192189474615346e-113	4.0496284067683775e-113

Results

10.0ms

64×

valid

Compiler

Compiled 97 to 74 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sin: 4.0ms (53% of total)

ival-add: 1.0ms (13.2% of total)

ival-sqrt: 1.0ms (13.2% of total)

ival-pow: 1.0ms (13.2% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.3192189474615346e-113	4.0496284067683775e-113

Results

9.0ms

64×

valid

Compiler

Compiled 97 to 74 computations (23.7% saved)

Precisions

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

ival-sin: 3.0ms (46.1% of total)

ival-pow: 1.0ms (15.4% of total)

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

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.034460716015675e-44	5.719809805869463e-43

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.034460716015675e-44	5.719809805869463e-43

Results

17.0ms

112×

valid

Compiler

Compiled 144 to 109 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 8.0ms (60% of total)

ival-pow: 2.0ms (15% of total)

ival-div: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

ival-mult: 1.0ms (7.5% of total)

ival-sqrt: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.034460716015675e-44	5.719809805869463e-43

Results

17.0ms

112×

valid

Compiler

Compiled 144 to 109 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 6.0ms (46.2% of total)

ival-pow: 4.0ms (30.8% of total)

ival-div: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

ival-mult: 1.0ms (7.7% of total)

ival-sqrt: 1.0ms (7.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8509223377923857e-155	4.820861111863875e-153

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	9.129717709539825e-7	0.0002699755203134147

Results

20.0ms

128×

valid

Compiler

Compiled 153 to 114 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 7.0ms (49.6% of total)

ival-pow: 3.0ms (21.3% of total)

ival-div: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

ival-mult: 1.0ms (7.1% of total)

ival-sqrt: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5538705061097814e-186	3.4463263450656083e-186

Results

11.0ms

80×

valid

Compiler

Compiled 140 to 103 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sin: 4.0ms (49.1% of total)

ival-pow: 2.0ms (24.6% of total)

ival-div: 1.0ms (12.3% of total)

ival-mult: 1.0ms (12.3% of total)

ival-sqrt: 1.0ms (12.3% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.3681603429645092e-107	4.08357548408588e-107

Results

9.0ms

64×

valid

Compiler

Compiled 113 to 82 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 3.0ms (46.9% of total)

ival-pow: 1.0ms (15.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.8203370734290346e+25	1.1294639796351958e+31

Results

25.0ms

144×

valid

Compiler

Compiled 241 to 180 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 12.0ms (62.8% of total)

ival-pow: 3.0ms (15.7% of total)

ival-div: 1.0ms (5.2% of total)

ival-add: 1.0ms (5.2% of total)

ival-mult: 1.0ms (5.2% of total)

ival-sqrt: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.1294639796351958e+31	6.889682378387276e+34

Results

24.0ms

128×

valid

Compiler

Compiled 153 to 114 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 12.0ms (62% of total)

ival-pow: 3.0ms (15.5% of total)

ival-div: 2.0ms (10.3% of total)

ival-add: 1.0ms (5.2% of total)

ival-mult: 1.0ms (5.2% of total)

ival-sqrt: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
10×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	557
1	208	557

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 3804640965202595/576460752303423488 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th)))
(if (<=.f64 kx #s(literal 7926335344172073/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 kx #s(literal 140000000000000000718867799914802203497043163222334845548996439720726467961037226018558991463608787243909663141152212795223318451991695494021085201150618107904 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 1080863910568919/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 kx #s(literal 26000000000000001091629970136965346307865201510398719174349884824102623610474060609894469146183088984900386483424129774640140902676606502738060144280961286144 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 662929865148937/144115188075855872 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 kx #s(literal 94999999999999996132685194702242690289292082586742973111654193101548832529424591392376331791481157917315230313008461417089412630639143126177288173202253545472 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 kx #s(literal 61999999999999994395395320835945001114856513971249717568331411552157707618719575804723495333882156890472074917938445385534408320713220814470991019002768130048 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(if (<=.f64 kx #s(literal 8358680908399641/144115188075855872 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 kx #s(literal 22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(if (<=.f64 th #s(literal 4728779608739021/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 4486248158726163/1180591620717411303424 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 6931674235302037/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 6065214955889283/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 kx #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8034690221294951/200867255532373784442745261542645325315275374222849104412672 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6226884921503587/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 kx #s(literal 3022314549036573/2361183241434822606848 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 4164050814058741/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 5618975734717113/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) th)
(if (<=.f64 kx #s(literal 28499999999999998179672064 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))))
(if (<=.f64 kx #s(literal 11499999999999999806460720578560 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 3804640965202595/576460752303423488 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sin.f64 th)))
(if (<=.f64 kx #s(literal 3804640965202595/576460752303423488 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(if (<=.f64 kx #s(literal 7926335344172073/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 kx #s(literal 140000000000000000718867799914802203497043163222334845548996439720726467961037226018558991463608787243909663141152212795223318451991695494021085201150618107904 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 7926335344172073/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 kx #s(literal 140000000000000000718867799914802203497043163222334845548996439720726467961037226018558991463608787243909663141152212795223318451991695494021085201150618107904 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))))
(if (<=.f64 kx #s(literal 1080863910568919/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 kx #s(literal 26000000000000001091629970136965346307865201510398719174349884824102623610474060609894469146183088984900386483424129774640140902676606502738060144280961286144 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 1080863910568919/72057594037927936 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (if (<=.f64 kx #s(literal 26000000000000001091629970136965346307865201510398719174349884824102623610474060609894469146183088984900386483424129774640140902676606502738060144280961286144 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))))
(if (<=.f64 kx #s(literal 662929865148937/144115188075855872 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 kx #s(literal 94999999999999996132685194702242690289292082586742973111654193101548832529424591392376331791481157917315230313008461417089412630639143126177288173202253545472 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 662929865148937/144115188075855872 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (if (<=.f64 kx #s(literal 94999999999999996132685194702242690289292082586742973111654193101548832529424591392376331791481157917315230313008461417089412630639143126177288173202253545472 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)))))
(if (<=.f64 kx #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (if (<=.f64 kx #s(literal 61999999999999994395395320835945001114856513971249717568331411552157707618719575804723495333882156890472074917938445385534408320713220814470991019002768130048 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(if (<=.f64 kx #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (if (<=.f64 kx #s(literal 61999999999999994395395320835945001114856513971249717568331411552157707618719575804723495333882156890472074917938445385534408320713220814470991019002768130048 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(if (<=.f64 kx #s(literal 8358680908399641/144115188075855872 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 kx #s(literal 22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(if (<=.f64 th #s(literal 4728779608739021/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 4486248158726163/1180591620717411303424 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 6931674235302037/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 6931674235302037/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 6065214955889283/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 kx #s(literal 6065214955889283/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 ky (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 ky (.f64 (sin.f64 th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) (sin.f64 kx)))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8034690221294951/200867255532373784442745261542645325315275374222849104412672 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6226884921503587/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6226884921503587/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (.f64 (sin.f64 th) (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 3022314549036573/2361183241434822606848 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 4164050814058741/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 5618975734717113/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 ky (/.f64 th (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) th)
(if (<=.f64 kx #s(literal 28499999999999998179672064 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))))
(if (<=.f64 kx #s(literal 11499999999999999806460720578560 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

soundness2.5s (17.3%)

Rules

6502×	`-lowering-.f32`
6502×	`-lowering-.f64`
6286×	`+-lowering-+.f64`
6286×	`+-lowering-+.f32`
6082×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1402	17816
1	4916	15471
0	8300	15471
0	40	127
1	229	122
2	1851	118
0	8373	118
0	827	9018
1	2983	7697
0	8251	7697
0	37	159
1	239	150
2	2003	142
0	8605	142
0	778	8673
1	2806	7394
2	7955	7379
0	8033	7379
0	13	16
1	19	11
2	29	11
3	30	11
0	30	11
0	405	4445
1	1412	3710
2	5849	3695
0	8127	3695

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
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 2188 to 1254 computations (42.7% saved)

preprocess186.0ms (1.3%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1326 to 470 computations (64.6% saved)