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

analyze357.0ms (2.5%)

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: 199.0ms

ival-pow: 106.0ms (53.3% of total)

ival-sin: 41.0ms (20.6% of total)

ival-mult: 18.0ms (9.1% of total)

ival-add: 11.0ms (5.5% of total)

ival-sqrt: 11.0ms (5.5% of total)

ival-div: 9.0ms (4.5% of total)

const: 2.0ms (1% of total)

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

sample1.8s (12.8%)

Results

1.5s

8256×

valid

Precisions

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

ival-sin: 607.0ms (53% of total)

ival-pow: 235.0ms (20.5% of total)

ival-mult: 78.0ms (6.8% of total)

ival-add: 74.0ms (6.5% of total)

ival-sqrt: 69.0ms (6% of total)

ival-div: 66.0ms (5.8% of total)

const: 13.0ms (1.1% of total)

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

Bogosity

preprocess144.0ms (1%)

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	110	113
2	243	113
3	431	113
4	1037	113
5	2833	113
6	4717	113
7	6198	113
8	7081	113
9	7230	113
10	7341	113
11	7373	113
12	7373	113
0	13	16
1	22	11
2	32	11
3	33	11
0	33	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))
(* (fast-sin ky) (/ (fast-sin th) (hypot (fast-sin ky) (fast-sin kx))))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(* (fast-sin ky) (/ (fast-sin th) (hypot (fast-sin ky) (fast-sin kx))))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(* (fast-sin ky) (/ (neg (fast-sin th)) (hypot (fast-sin ky) (fast-sin kx))))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(* (fast-sin ky) (/ (neg (fast-sin th)) (hypot (fast-sin ky) (fast-sin kx))))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(* (fast-sin ky) (/ (neg (fast-sin th)) (hypot (fast-sin ky) (fast-sin kx))))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(* (fast-sin ky) (/ (fast-sin th) (hypot (fast-sin ky) (fast-sin kx))))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(* (fast-sin ky) (/ (fast-sin th) (hypot (fast-sin ky) (fast-sin kx))))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(/ (* (fast-sin kx) (fast-sin th)) (hypot (fast-sin ky) (fast-sin kx)))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(* (fast-sin kx) (/ (fast-sin ky) (hypot (fast-sin ky) (fast-sin th))))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))
(/ (* (fast-sin ky) (fast-sin th)) (hypot (fast-sin kx) (fast-sin th)))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain188.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
11	0	-	1	(8.527974169472277e-280 2.865165933462973e-160 4.1408479557826715e-78)	`(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	69	(3.9588021057234104e-61 4.420090189558559e+294 2.5515298798413706e+307)	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	57	(2.7983797811619414e+131 2.7296973835511953e-42 1.934192902754663e+306)	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Results

125.0ms

512×

valid

Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sin: 36.0ms (57.8% of total)

ival-pow: 12.0ms (19.3% of total)

ival-mult: 4.0ms (6.4% of total)

ival-sqrt: 4.0ms (6.4% of total)

ival-div: 3.0ms (4.8% of total)

ival-add: 3.0ms (4.8% of total)

const: 1.0ms (1.6% 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
▶	95.6%	(*.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

▶

95.6%

(*.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)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	cost-diff	12992	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	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	34	80
2	38	80
0	38	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

localize144.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	95.9%	(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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Results

119.0ms

256×

valid

Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions

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

ival-sin: 36.0ms (53.9% of total)

compiled-spec: 7.0ms (10.5% of total)

ival-mult: 6.0ms (9% of total)

ival-pow: 6.0ms (9% of total)

ival-div: 5.0ms (7.5% of total)

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

ival-add: 2.0ms (3% of total)

const: 0.0ms (0% of total)

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

series39.0ms (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 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (sin kx)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin ky) 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 (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (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 kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	ky	@	0	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
3.0ms	th	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	ky	@	-inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	ky	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	ky	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite231.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`-lowering-.f32`
1720×	`-lowering-.f64`
1584×	`/-lowering-/.f32`
1584×	`/-lowering-/.f64`
1226×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	106	60
2	785	60
0	9778	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)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
(pow (sin kx) 2)
(pow (sin ky) 2)

Outputs
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th)))
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 0 binary64) (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 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (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 ky) (/.f64 (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))) (/.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 (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 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 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (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 -1/2 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) (/.f64 (-.f64 #s(literal 0 binary64) (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)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (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) (/.f64 (-.f64 #s(literal 0 binary64) (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)))
(exp.f64 (.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)))
(hypot.f64 (sin.f64 ky) (sin.f64 ky))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(sqrt.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))))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)))))))) (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64))) (sqrt.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)))))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (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 -2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) (neg.f64 (sqrt.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))))))))))
(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 1/2 binary64))
(pow.f64 (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)) #s(literal 2 binary64))
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(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (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 -1/2 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 -1/2 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	4436
1	1429	3702
2	5851	3687
0	8002	3687

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

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

eval76.0ms (0.5%)

Compiler: Compiled 14034 to 1580 computations (88.7% saved)

prune96.0ms (0.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	620	22	642
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	620	24	644

Accuracy

99.9%

Counts

644 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	73.2%	(*.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))))
	69.2%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
✓	95.6%	(*.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))
	48.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
	69.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))))) (sin.f64 th))
▶	34.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	32.0%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	23.6%	(.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))
	94.5%	(.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))))))
	95.3%	(.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))
	27.6%	(.f64 (.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))))))) (sin.f64 th))
	47.8%	(.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)))
▶	73.3%	(*.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))))
▶	57.1%	(.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))))
	57.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
	51.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	51.2%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	48.5%	(.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)))))))
▶	30.1%	(sin.f64 th)

Compiler

Compiled 749 to 520 computations (30.6% saved)

simplify294.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.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))))
✓	cost-diff	12928	(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	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

3782×	`fma-define`
3328×	`fma-lowering-fma.f32`
3328×	`fma-lowering-fma.f64`
1070×	`-lowering-.f32`
1070×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	172
1	84	164
2	181	160
3	498	160
4	1532	160
5	3441	160
6	4177	160
7	4656	160
8	4692	160
9	4692	160
10	5602	160
11	5602	160
12	5602	160
13	5639	160
14	5662	160
0	5662	160

Stop Event

1×	iter limit
1×	saturated

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

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

localize202.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.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)))
✓	accuracy	99.7%	(*.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))))
✓	accuracy	99.4%	(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
✓	accuracy	99.9%	(/.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	99.8%	(.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	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))

Results

115.0ms	189×	0	valid
39.0ms	67×	0	invalid

Compiler

Compiled 197 to 28 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 24.0ms (23.2% of total)

ival-sin: 22.0ms (21.3% of total)

compiled-spec: 21.0ms (20.3% of total)

ival-div: 10.0ms (9.7% of total)

ival-pow: 10.0ms (9.7% of total)

ival-sqrt: 6.0ms (5.8% of total)

ival-add: 5.0ms (4.8% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.8% of total)

const: 1.0ms (1% of total)

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

series76.0ms (0.5%)

Counts

16 → 372

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

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>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* 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 (* 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 (* -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 (sqrt ky)>
#<alt (+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))>
#<alt (+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))>
#<alt (+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>

Calls

93 calls:

Time	Variable		Point	Expression
32.0ms	ky	@	0	(pow (sin ky) 1/2)
7.0ms	ky	@	0	(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))))))
4.0ms	ky	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
3.0ms	th	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx)))))))))
2.0ms	kx	@	-inf	(* (/ (sin ky) (sin kx)) (sin th))

rewrite430.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2994×	`-lowering-.f32`
2994×	`-lowering-.f64`
2674×	`/-lowering-/.f32`
2674×	`/-lowering-/.f64`
1960×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	112
1	200	107
2	1591	104
0	9104	104

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 390

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

Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.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 #s(literal 0 binary64) (sin.f64 ky)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #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 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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 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 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.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) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.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)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (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 ky))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))) (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 (sin.f64 th) (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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.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))) (sin.f64 ky))
(*.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))))
(*.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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.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) (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))) (/.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.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 kx))))
(.f64 (/.f64 (sin.f64 ky) (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))) (/.f64 (sin.f64 th) (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))))
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.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 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (.f64 (log.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 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1/2 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))))))))
(neg.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 th) (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))) (/.f64 #s(literal 1 binary64) (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))))
(.f64 kx (.f64 kx #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(.f64 (.f64 kx kx) #s(literal -1/6 binary64))
(.f64 (.f64 kx (*.f64 kx #s(literal -1/6 binary64))) #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 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx))) kx)
(exp.f64 (.f64 (log.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 kx kx) (-.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))))) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))) (-.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))))))
(fma.f64 kx #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx))))
(fma.f64 kx (.f64 kx (.f64 kx #s(literal -1/6 binary64))) kx)
(fma.f64 #s(literal 1 binary64) kx (.f64 #s(literal -1/6 binary64) (.f64 kx (*.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 kx (.f64 kx #s(literal -1/6 binary64))) 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 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (+.f64 (.f64 kx kx) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))) (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))))))
(/.f64 (-.f64 (.f64 kx kx) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))))) (-.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))))
(/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (-.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) #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 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (-.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) #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 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))))) (neg.f64 (+.f64 (.f64 kx kx) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))) (.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx))))))))
(/.f64 (neg.f64 (-.f64 (.f64 kx kx) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))))) (neg.f64 (-.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx))))))
(/.f64 (neg.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (-.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) #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 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) kx)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (-.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) #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)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx))) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)))) (-.f64 (.f64 kx kx) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx))) kx))))
(pow.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))
(.f64 kx (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))) kx)
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))) #s(literal 1 binary64)) kx)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1/4 binary64)))
(fabs.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(sqrt.f64 (sin.f64 ky))
(pow.f64 (sin.f64 ky) #s(literal 1/2 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 1/4 binary64))
(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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64))))

simplify413.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

7322×	`-lowering-.f32`
7322×	`-lowering-.f64`
4670×	`+-lowering-+.f64`
4670×	`+-lowering-+.f32`
1918×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	715	7768
1	2539	6551
0	8596	6551

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* 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)))))
(* 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)))))
(* -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)))))
(sqrt ky)
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))

Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.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 1/2 binary64) (.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 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/120 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))))))) (* (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 1/2 binary64) (.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 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.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))))))) (sin.f64 th)) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.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 (.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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)) (+.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))))))) (sin.f64 th))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (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 (.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 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 (.f64 #s(literal 1/120 binary64) (*.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)))))) (* (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 (.f64 th 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 (.f64 #s(literal -1/5040 binary64) (.f64 th th)) (sin.f64 ky)) (.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 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))))) (+.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 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (.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 (.f64 kx kx) (.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))))))
(+ 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 (.f64 #s(literal -1/2 binary64) (.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 (.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #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 (*.f64 ky ky) #s(literal -1/5040 binary64)))) #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)
(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 (.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 (.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 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (-.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))))) (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 (.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 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(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 (.f64 #s(literal 1/120 binary64) (*.f64 th th)) #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 #s(literal -1/5040 binary64) (*.f64 th th)))) #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)
(/ (* 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 (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (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 (.f64 ky ky) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (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 (.f64 (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)) (sin.f64 th)) (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 ky) (/.f64 (sin.f64 th) 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 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 1/840 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal -7/360 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 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (/.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 (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 th th)) (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 (.f64 #s(literal -1/5040 binary64) (.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 (.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) (sin.f64 kx)) (/.f64 #s(literal -1/6 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 (sin.f64 ky) #s(literal 1/840 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 ky) #s(literal -7/360 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 (.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)
(/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 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)))))))
(.f64 ky (+.f64 (/.f64 (sin.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) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 -1/6 binary64) (sin.f64 th)) (.f64 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)))))) (* (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)))))))
(.f64 ky (+.f64 (/.f64 (sin.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) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 (.f64 #s(literal -1/6 binary64) (sin.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 1/120 binary64) (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 (.f64 #s(literal 1/2 binary64) kx) (.f64 (sin.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 (/ (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)))))))
(.f64 ky (+.f64 (/.f64 (sin.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) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 (.f64 #s(literal -1/6 binary64) (sin.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 1/120 binary64) (sin.f64 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) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 (.f64 #s(literal 1/2 binary64) kx) (.f64 (sin.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 (.f64 #s(literal -1/2 binary64) kx) (.f64 (sin.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 (+.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 (/.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))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 kx (.f64 (.f64 (sin.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 -1/240 binary64) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 -1/5040 binary64) (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))))))))))
(* (* (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)))))
(.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 (+.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)))))))))
(* 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)))))
(.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 (+.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)))))))))
(* (* (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 (+.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)))))))))
(* (* (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 (+.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)))))))))
(* (* (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 th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (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)))))))))))
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(+ (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 (.f64 (.f64 #s(literal 1/2 binary64) (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 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.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 (sin.f64 th) #s(literal 6 binary64)) (sin.f64 ky)) (.f64 kx (.f64 kx kx)))
(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))
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(/ (+ (* 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 (sin.f64 th) #s(literal 6 binary64)) (sin.f64 ky)) (+.f64 (.f64 (.f64 #s(literal 36 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (.f64 kx kx))) (.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (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 (.f64 #s(literal -6 binary64) (sin.f64 th)) (sin.f64 ky)) (.f64 kx (.f64 kx kx)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))
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(* -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 (sin.f64 th) #s(literal 6 binary64)) (sin.f64 ky)) (+.f64 (.f64 (.f64 #s(literal 36 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (.f64 kx kx))) (.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (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 (sin.f64 th) #s(literal 6 binary64)) (sin.f64 ky)) (.f64 (.f64 #s(literal 36 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (.f64 kx kx)))) (+.f64 (.f64 (.f64 #s(literal 216 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 4 binary64)))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (sin.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 #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)))))
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(* 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))))))))))
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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))))) (* (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)))))
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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) (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 (sin.f64 th) (.f64 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))))))
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(+ (* (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 (sin.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) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 (.f64 kx (.f64 ky ky)) (.f64 (sin.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 (/ (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 (sin.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) (sin.f64 th)) (.f64 (.f64 (.f64 kx (.f64 kx kx)) (+.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 1/2 binary64) kx) (.f64 (sin.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 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx (.f64 ky ky)) (.f64 (sin.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 (+.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 (/.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)))))))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(* (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 (+.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)))))))))
(/ (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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.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 (.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))))))))))
(* 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 (.f64 #s(literal 1/12 binary64) (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 (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)))
(* -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 (.f64 #s(literal 1/12 binary64) (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 (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))))
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 (.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #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 (*.f64 ky ky) #s(literal -1/5040 binary64)))) #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)
(/ (* 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 1/2 binary64) (.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 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/120 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))))))) (* (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 1/2 binary64) (.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 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.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))))))) (sin.f64 th)) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.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))))))
(* (* 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)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.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 (.f64 #s(literal 1/120 binary64) (*.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)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.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 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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))))))))))))
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(* (* (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 (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 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 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))))) (* (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 (.f64 th 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 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.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 ky ky) (/.f64 (*.f64 #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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.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))))))))
(+ (* (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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.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 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.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 2/45 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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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)))
(+.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 (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))))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.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 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 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))))))
(* -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 kx (.f64 #s(literal -1/6 binary64) (*.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 kx (.f64 #s(literal -1/6 binary64) (*.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))))
(sqrt ky)
(sqrt.f64 ky)
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))
(+.f64 (sqrt.f64 ky) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (pow.f64 ky #s(literal 5 binary64)))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))
(+.f64 (sqrt.f64 ky) (.f64 (.f64 ky (.f64 ky ky)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (.f64 ky (*.f64 ky ky)))))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))
(+.f64 (sqrt.f64 ky) (.f64 (.f64 ky (.f64 ky ky)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (.f64 (.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ky)) #s(literal 1/1440 binary64))))))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))

eval160.0ms (1.1%)

Compiler: Compiled 23852 to 2410 computations (89.9% saved)

prune198.0ms (1.4%)

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1050	40	1090
Fresh	9	8	17
Picked	4	1	5
Done	1	1	2
Total	1064	50	1114

Accuracy

100.0%

Counts

1114 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.4%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	34.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	98.1%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	20.3%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	18.3%	(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	31.4%	(/.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)))
	34.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	57.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th)))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	72.8%	(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	13.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) (sin.f64 kx)) (sin.f64 th))
	17.0%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
	31.7%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
	34.7%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	78.2%	(.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))
	99.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	51.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	57.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
	78.5%	(.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))
	21.0%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	20.2%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	34.2%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
	32.0%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	98.1%	(*.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))))
	97.9%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	34.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	23.6%	(.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))
	52.2%	(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (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))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #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)))) (sin.f64 th))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
▶	98.0%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	31.7%	(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
	47.8%	(.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)))
	30.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
▶	30.6%	(.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) (.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))))
	30.4%	(.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)))))))
	51.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
▶	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	20.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	31.3%	(.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)))))))
	51.2%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	99.4%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	34.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	16.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	30.1%	(sin.f64 th)
▶	16.3%	th

Compiler

Compiled 1635 to 1107 computations (32.3% saved)

simplify222.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3152×	`sum4-define`
2296×	`sum5-define`
2108×	`-lowering-.f32`
2108×	`-lowering-.f64`
2042×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	194
1	96	185
2	235	178
3	640	178
4	1821	178
5	3711	178
6	6696	178
7	7603	178
8	7734	178
9	7814	178
10	7814	178
0	8498	178

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

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

localize226.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	98.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	99.1%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	97.6%	(.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) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	accuracy	85.2%	(/.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))))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	accuracy	99.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(/.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

173.0ms

256×

valid

Compiler

Compiled 214 to 28 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 58.0ms (38.4% of total)

compiled-spec: 50.0ms (33.1% of total)

ival-sin: 20.0ms (13.2% of total)

ival-div: 8.0ms (5.3% of total)

ival-add: 5.0ms (3.3% of total)

ival-sqrt: 5.0ms (3.3% of total)

...c/correct-round.rkt:119:19: 5.0ms (3.3% of total)

const: 1.0ms (0.7% of total)

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

series36.0ms (0.3%)

Counts

16 → 372

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

Calls

93 calls:

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

rewrite402.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3318×	`-lowering-.f32`
3318×	`-lowering-.f64`
2910×	`/-lowering-/.f32`
2910×	`/-lowering-/.f64`
2016×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	124
1	211	119
2	1706	114
0	9122	114

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 409

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

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

simplify401.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5688×	`-lowering-.f32`
5688×	`-lowering-.f64`
5140×	`+-lowering-+.f64`
5140×	`+-lowering-+.f32`
1946×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	8466
1	2681	6740
0	8227	6740

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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 (+ (* (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))
(/ (* 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))
(/ (* (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))
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 (sin kx))
(* th (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) kx)
(/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx)
(/ (+ (sin th) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)
(/ (+ (sin th) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (sin th) (sin kx))
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (* (+ 1 (* -1/6 (pow th 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 (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (* (+ 1 (* -1/6 (pow th 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 (* -1/6 (pow th 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 (* -1/6 (pow th 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 (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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 (+ (* -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 (+ (* -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)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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))) (+ (* 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 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* 6 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 3)))
(/ (+ (* 6 (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) (* 36 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) (+ (* 36 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* 216 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin ky) 2)))))) (pow kx 6))) (+ (* 6 (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) (+ (* 36 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* 216 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) (* 36 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) (+ (* 36 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* 216 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin ky) 2)))))) (pow kx 6))) (+ (* 6 (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2)))))) (+ (* 36 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (pow kx 2))) (* 216 (/ (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (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)))) (* -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)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (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 (* -1/6 (pow th 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 (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (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 (* -1/6 (pow th 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 (* -1/6 (pow th 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 (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2))))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 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)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 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))) (+ (* 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 (* -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)))) (sin ky)))
(* 6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3)))
(/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 4)))))) (pow kx 3)))
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)))))
(/ (* 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 (sin th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
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 th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow 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 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))

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 (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))))) (* (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 (sin.f64 ky) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.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 (sin.f64 ky) #s(literal -1/6 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)))))) (.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 (sin.f64 ky) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))))))
(* (* (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 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.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)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (/.f64 (.f64 #s(literal -1/2 binary64) (.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)))))))))))
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(+ (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)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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th
(* 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))))
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(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(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)
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(/ (+ (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)
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
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(+ 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))))))
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(+ 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))))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (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) (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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.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) (- 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 (.f64 kx kx) (-.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))))) (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))
(/ (* 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 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) (sin.f64 th)) (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 (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) (sin.f64 th)) (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 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)) (sin.f64 th)) (sin.f64 kx))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (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 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 kx)) (/.f64 (.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) (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 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (sin.f64 kx))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) 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 ky) (sin.f64 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)
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64))) (.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1/6 binary64))))) 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 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1/840 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal -7/360 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64)))) (.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1/6 binary64))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 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 (sin kx))
(/.f64 th (sin.f64 kx))
(* th (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))
(.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 kx))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 kx)) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 kx)) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) kx)
(/.f64 (sin.f64 th) kx)
(/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 th)) kx)
(/ (+ (sin th) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)
(/.f64 (+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 th) #s(literal 7/360 binary64))) (.f64 (sin.f64 th) #s(literal 1/6 binary64))))) kx)
(/ (+ (sin th) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) kx)
(/.f64 (+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (sin.f64 th) #s(literal 1/840 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 th) #s(literal -7/360 binary64)))))) (.f64 (sin.f64 th) #s(literal 7/360 binary64)))) (*.f64 (sin.f64 th) #s(literal 1/6 binary64))))) kx)
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (* (+ 1 (* -1/6 (pow th 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 (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* th (* (+ 1 (* -1/6 (pow kx 2))) (* (+ 1 (* -1/6 (pow th 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 (* -1/6 (pow th 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 (* -1/6 (pow th 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 (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (.f64 th (sin.f64 ky)) (+.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 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) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (.f64 th (sin.f64 ky)) (+.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 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) (+ 1 (* -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 (* (sin ky) (+ 1 (* -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 (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (.f64 th (sin.f64 ky)) (+.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 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) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (.f64 th (sin.f64 ky)) (+.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 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) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (.f64 th (sin.f64 ky)) (+.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 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) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(.f64 (.f64 (.f64 th (sin.f64 ky)) (+.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 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)) (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 (+ (* -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)))))))
(.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 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(* 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)))))))
(.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 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(* 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)))))))
(.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 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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 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)))))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(.f64 (.f64 th (.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 (/.f64 (sin.f64 ky) (.f64 th th)) (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (/ (sin ky) (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)))))
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(* -1 (/ (+ (* 1/12 (/ (* th (* (+ 1 (* -1/6 (pow th 2))) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* th (+ 1 (* -1/6 (pow th 2))))) (+ (* 36 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 2))) (* 216 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow kx 4)))))) (pow kx 3)))
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th
(* th (+ 1 (* -1/6 (pow th 2))))
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(* th (+ 1 (* -1/6 (pow th 2))))
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(* th (+ 1 (* -1/6 (pow th 2))))
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(* -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))
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(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
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(* -1/6 (pow th 3))
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(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
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(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
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(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
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(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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))
(*.f64 ky (sin.f64 th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (sin.f64 th)))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(.f64 ky (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky ky)) #s(literal -1/6 binary64))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(.f64 ky (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))))))))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(.f64 th (+.f64 (sin.f64 ky) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(.f64 th (+.f64 (sin.f64 ky) (.f64 (.f64 th th) (+.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
(* (sin ky) (sin th))
(*.f64 (sin.f64 ky) (sin.f64 th))
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 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))
(* -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 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 ky ky) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 ky ky) (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 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (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 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

eval119.0ms (0.8%)

Compiler: Compiled 23644 to 1943 computations (91.8% saved)

prune149.0ms (1%)

Pruning

63 alts after pruning (57 fresh and 6 done)

	Pruned	Kept	Total
New	958	28	986
Fresh	14	29	43
Picked	1	4	5
Done	0	2	2
Total	973	63	1036

Accuracy

100.0%

Counts

1036 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
▶	11.3%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
	17.4%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	9.1%	(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
	98.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	20.3%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	18.3%	(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	78.1%	(/.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)))
	57.4%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	51.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	78.4%	(/.f64 (sin.f64 th) (/.f64 (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))))))) (sin.f64 ky)))
	34.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	32.0%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	32.0%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	30.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	57.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th)))
	34.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	51.2%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	72.8%	(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	13.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) (sin.f64 kx)) (sin.f64 th))
	17.0%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
	31.7%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
	34.7%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
▶	99.4%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	51.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	20.2%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	34.2%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
	32.0%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	13.1%	(.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	97.9%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	34.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	11.7%	(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	35.5%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
▶	49.7%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	47.8%	(.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))))))
	31.7%	(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
	8.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
	30.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	19.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	30.6%	(.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) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	19.7%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	13.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
▶	16.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	30.4%	(.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)))))))
	51.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	20.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	31.3%	(.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)))))))
	20.9%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	99.4%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	34.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
▶	16.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	32.0%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	10.1%	(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
✓	30.1%	(sin.f64 th)
✓	16.3%	th

Compiler

Compiled 2232 to 1448 computations (35.1% saved)

simplify226.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) th)
✓	cost-diff	128	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	cost-diff	0	(-.f64 ky th)
✓	cost-diff	0	(cos.f64 (-.f64 ky th))
✓	cost-diff	0	(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
✓	cost-diff	0	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	cost-diff	0	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	13056	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
✓	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	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))

Rules

2804×	`-lowering-.f32`
2804×	`-lowering-.f64`
1548×	`/-lowering-/.f32`
1548×	`/-lowering-/.f64`
1120×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	187
1	97	180
2	189	176
3	384	176
4	717	176
5	1229	176
6	2864	176
7	5453	176
0	8291	176

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize528.0ms (3.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(*.f64 (sin.f64 ky) th)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	98.1%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	98.2%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
✓	accuracy	73.7%	(cos.f64 (+.f64 th ky))
✓	accuracy	73.1%	(cos.f64 (-.f64 ky th))
✓	accuracy	42.2%	(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
✓	accuracy	100.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.9%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (sin.f64 ky))
✓	accuracy	99.1%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	97.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
✓	accuracy	100.0%	(*.f64 th th)
✓	accuracy	100.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.1%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 th))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))

Results

251.0ms	147×	1	valid
206.0ms	103×	2	valid
4.0ms	6×	0	valid

Compiler

Compiled 219 to 31 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-cos: 64.0ms (27.2% of total)

ival-sin: 36.0ms (15.3% of total)

ival-mult: 35.0ms (14.9% of total)

backward-pass: 34.0ms (14.4% of total)

ival-div: 20.0ms (8.5% of total)

compiled-spec: 18.0ms (7.6% of total)

ival-add: 9.0ms (3.8% of total)

...c/correct-round.rkt:119:19: 9.0ms (3.8% of total)

ival-sub: 7.0ms (3% of total)

ival-sqrt: 4.0ms (1.7% of total)

const: 1.0ms (0.4% of total)

series50.0ms (0.4%)

Counts

20 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
17.0ms	th	@	inf	(/ 1 (sin th))
3.0ms	ky	@	inf	(/ (- (cos (- ky th)) (cos (+ th ky))) (* (sin kx) 2))
2.0ms	th	@	inf	(/ 1 (/ 1 (sin th)))
2.0ms	kx	@	inf	(/ (- (cos (- ky th)) (cos (+ th ky))) (* (sin kx) 2))
1.0ms	th	@	0	(/ (- (cos (- ky th)) (cos (+ th ky))) (* (sin kx) 2))

rewrite380.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3544×	`-lowering-.f32`
3544×	`-lowering-.f64`
3308×	`/-lowering-/.f32`
3308×	`/-lowering-/.f64`
1780×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	129
1	237	119
2	1850	112
0	8837	112

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 522

Calls

Call 1

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

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

simplify343.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6970×	`-lowering-.f32`
6970×	`-lowering-.f64`
4484×	`+-lowering-+.f64`
4484×	`+-lowering-+.f32`
1854×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	5930
1	2616	5085
0	8839	5085

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

Outputs
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)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) ky) (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 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/120 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))))))) (* (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 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.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 2/45 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 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.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 (.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 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 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)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sin.f64 th))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th (sin.f64 ky)) th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.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 (*.f64 th (sin.f64 ky)) 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 (sqrt.f64 (/.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 (.f64 th (sin.f64 ky)) th)) (sin.f64 ky))) (.f64 (.f64 (.f64 th 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 -1/5040 binary64) (.f64 (.f64 th (sin.f64 ky)) 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 (.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 #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 (.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 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))) (/.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 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 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 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 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 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 #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
(* 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)
(* 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))))
(* 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))))
(* 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))))
(* 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))))
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))))
(/ th (sin ky))
(/.f64 th (sin.f64 ky))
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(.f64 th (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
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(- (cos (- ky th)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (- ky th)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (- ky th)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (- ky th)) (cos (+ ky th)))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (+ ky (* -1 th))) (cos (- ky (* -1 th))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (+ ky (* -1 th))) (cos (- ky (* -1 th))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (+ ky (* -1 th))) (cos (- ky (* -1 th))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(- (cos (+ ky (* -1 th))) (cos (- ky (* -1 th))))
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))
(cos (neg th))
(cos.f64 th)
(+ (cos (neg th)) (* -1 (* ky (sin (neg th)))))
(+.f64 (*.f64 (sin.f64 th) ky) (cos.f64 th))
(+ (cos (neg th)) (* ky (- (* -1/2 (* ky (cos (neg th)))) (sin (neg th)))))
(+.f64 (cos.f64 th) (.f64 ky (+.f64 (.f64 (*.f64 #s(literal -1/2 binary64) ky) (cos.f64 th)) (sin.f64 th))))
(+ (cos (neg th)) (* ky (- (* ky (+ (* -1/2 (cos (neg th))) (* 1/6 (* ky (sin (neg th)))))) (sin (neg th)))))
(+.f64 (cos.f64 th) (.f64 ky (+.f64 (.f64 ky (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 th)) (.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) ky))) (sin.f64 th))))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (neg (+ th (* -1 ky))))
(cos.f64 (-.f64 ky th))
(cos (neg (+ th (* -1 ky))))
(cos.f64 (-.f64 ky th))
(cos (neg (+ th (* -1 ky))))
(cos.f64 (-.f64 ky th))
(cos (neg (+ th (* -1 ky))))
(cos.f64 (-.f64 ky th))
(cos ky)
(cos.f64 ky)
(+ (cos ky) (* th (sin ky)))
(+.f64 (*.f64 th (sin.f64 ky)) (cos.f64 ky))
(+ (cos ky) (* th (- (* -1/2 (* th (cos ky))) (* -1 (sin ky)))))
(+.f64 (cos.f64 ky) (.f64 th (+.f64 (.f64 th (*.f64 #s(literal -1/2 binary64) (cos.f64 ky))) (sin.f64 ky))))
(+ (cos ky) (* th (- (* th (+ (* -1/2 (cos ky)) (* -1/6 (* th (sin ky))))) (* -1 (sin ky)))))
(+.f64 (cos.f64 ky) (.f64 th (+.f64 (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 ky)) (.f64 #s(literal -1/6 binary64) (*.f64 th (sin.f64 ky))))) (sin.f64 ky))))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (- ky th))
(cos.f64 (-.f64 ky th))
(cos (+ ky (* -1 th)))
(cos.f64 (-.f64 ky th))
(cos (+ ky (* -1 th)))
(cos.f64 (-.f64 ky th))
(cos (+ ky (* -1 th)))
(cos.f64 (-.f64 ky th))
(cos (+ ky (* -1 th)))
(cos.f64 (-.f64 ky th))
(* -1 th)
(-.f64 #s(literal 0 binary64) th)
(- ky th)
(-.f64 ky th)
(- ky th)
(-.f64 ky th)
(- ky th)
(-.f64 ky th)
ky
(* ky (+ 1 (* -1 (/ th ky))))
(*.f64 ky (-.f64 #s(literal 1 binary64) (/.f64 th ky)))
(* ky (+ 1 (* -1 (/ th ky))))
(*.f64 ky (-.f64 #s(literal 1 binary64) (/.f64 th ky)))
(* ky (+ 1 (* -1 (/ th ky))))
(*.f64 ky (-.f64 #s(literal 1 binary64) (/.f64 th ky)))
ky
(* -1 (* ky (- (/ th ky) 1)))
(*.f64 ky (-.f64 #s(literal 1 binary64) (/.f64 th ky)))
(* -1 (* ky (- (/ th ky) 1)))
(*.f64 ky (-.f64 #s(literal 1 binary64) (/.f64 th ky)))
(* -1 (* ky (- (/ th ky) 1)))
(*.f64 ky (-.f64 #s(literal 1 binary64) (/.f64 th ky)))
ky
(+ ky (* -1 th))
(-.f64 ky th)
(+ ky (* -1 th))
(-.f64 ky th)
(+ ky (* -1 th))
(-.f64 ky th)
(* -1 th)
(-.f64 #s(literal 0 binary64) th)
(* th (- (/ ky th) 1))
(*.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))
(* th (- (/ ky th) 1))
(*.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))
(* th (- (/ ky th) 1))
(*.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))
(* -1 th)
(-.f64 #s(literal 0 binary64) th)
(* -1 (* th (+ 1 (* -1 (/ ky th)))))
(*.f64 (-.f64 #s(literal 0 binary64) th) (-.f64 #s(literal 1 binary64) (/.f64 ky th)))
(* -1 (* th (+ 1 (* -1 (/ ky th)))))
(*.f64 (-.f64 #s(literal 0 binary64) th) (-.f64 #s(literal 1 binary64) (/.f64 ky th)))
(* -1 (* th (+ 1 (* -1 (/ ky th)))))
(*.f64 (-.f64 #s(literal 0 binary64) th) (-.f64 #s(literal 1 binary64) (/.f64 ky th)))
(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(.f64 ky (+.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 -1/6 binary64) (/.f64 th (sin.f64 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))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 th #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) 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))))))))))))
(* 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))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 th #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) 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))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.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))))))) (+.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.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))))) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/5040 binary64) (/.f64 th (sin.f64 kx)))))))))))))
(* (* 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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
(+ 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 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 (.f64 kx kx) (.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)))))))))
(+ 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 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 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 2/45 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)))))))))))
(* (* 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 (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 (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 (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 (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 (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 (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 (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)))
(* ky th)
(*.f64 th ky)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) th))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(.f64 ky (+.f64 th (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))))))))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+.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 (.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 ky ky)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.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 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (sin.f64 ky))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 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 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.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 th)
(/.f64 #s(literal 1 binary64) th)
(/ (+ 1 (* 1/6 (pow th 2))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal 1/6 binary64))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) #s(literal 7/360 binary64))))) th)
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 th th) #s(literal 31/15120 binary64))))))) th)
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(/ 1 (sin th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(cos ky)
(cos.f64 ky)
(+ (cos ky) (* -1 (* th (sin ky))))
(-.f64 (cos.f64 ky) (*.f64 th (sin.f64 ky)))
(+ (cos ky) (* th (- (* -1/2 (* th (cos ky))) (sin ky))))
(+.f64 (cos.f64 ky) (.f64 th (-.f64 (.f64 th (*.f64 #s(literal -1/2 binary64) (cos.f64 ky))) (sin.f64 ky))))
(+ (cos ky) (* th (- (* th (+ (* -1/2 (cos ky)) (* 1/6 (* th (sin ky))))) (sin ky))))
(+.f64 (cos.f64 ky) (.f64 th (-.f64 (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 ky)) (.f64 #s(literal 1/6 binary64) (*.f64 th (sin.f64 ky))))) (sin.f64 ky))))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 th ky))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 th ky))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 th ky))
(cos (- ky (* -1 th)))
(cos.f64 (+.f64 th ky))
(cos th)
(cos.f64 th)
(+ (cos th) (* -1 (* ky (sin th))))
(-.f64 (cos.f64 th) (*.f64 (sin.f64 th) ky))
(+ (cos th) (* ky (- (* -1/2 (* ky (cos th))) (sin th))))
(+.f64 (cos.f64 th) (.f64 ky (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) ky) (cos.f64 th)) (sin.f64 th))))
(+ (cos th) (* ky (- (* ky (+ (* -1/2 (cos th)) (* 1/6 (* ky (sin th))))) (sin th))))
(+.f64 (cos.f64 th) (.f64 ky (-.f64 (.f64 ky (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) ky)))) (sin.f64 th))))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (+ ky th))
(cos.f64 (+.f64 th ky))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 th ky))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 th ky))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 th ky))
(cos (- th (* -1 ky)))
(cos.f64 (+.f64 th 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 (.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 #s(literal 1/2 binary64) (.f64 ky ky)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(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 #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 (.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 (.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 (.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))

eval200.0ms (1.4%)

Compiler: Compiled 26234 to 2708 computations (89.7% saved)

prune223.0ms (1.6%)

Pruning

93 alts after pruning (86 fresh and 7 done)

	Pruned	Kept	Total
New	1169	46	1215
Fresh	12	40	52
Picked	4	1	5
Done	0	6	6
Total	1185	93	1278

Accuracy

100.0%

Counts

1278 → 93

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	16.0%	(/.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)))))
	9.4%	(/.f64 (-.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 th ky) (-.f64 (.f64 ky ky) (.f64 th th))))) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
	11.1%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
	11.7%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
	2.7%	(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 (-.f64 (.f64 ky ky) (.f64 th th)) (+.f64 (.f64 th (.f64 th th)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 th th) (.f64 ky (-.f64 ky th))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
	4.1%	(/.f64 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 ky (.f64 ky ky)) (.f64 th (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 th (+.f64 th ky)))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
	10.6%	(/.f64 (-.f64 (cos.f64 (.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
	11.2%	(/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
	11.5%	(/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
	6.7%	(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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)))))))
	17.4%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	9.1%	(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
	98.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	20.3%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	18.3%	(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	11.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	57.4%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	51.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	34.7%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	32.0%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	32.0%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	99.4%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	30.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	57.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th)))
	34.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	51.2%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	13.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) (sin.f64 kx)) (sin.f64 th))
	31.7%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
	34.7%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	51.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
	51.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
	51.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	20.2%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	34.2%	(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
	32.0%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	13.1%	(.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	97.9%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	34.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	35.5%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	39.1%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.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))))
	29.0%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.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))))) (sin.f64 kx))))
	29.0%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))))
✓	49.7%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	29.2%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
	21.7%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	20.3%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
	17.5%	(.f64 (.f64 (sin.f64 ky) th) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
	39.2%	(.f64 (.f64 (sin.f64 ky) th) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.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))))
	7.0%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	27.9%	(.f64 (.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky))))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	27.9%	(.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	15.9%	(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
	10.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
	30.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
✓	30.6%	(.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) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	19.7%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
	10.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))))))
	10.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))))))
	10.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
	13.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
	10.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	30.4%	(.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)))))))
	51.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	20.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	31.3%	(.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)))))))
	20.9%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	15.9%	(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
	34.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	15.2%	(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
	15.2%	(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
	16.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
	16.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
	8.8%	(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
	10.2%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	10.2%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
	32.0%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	19.7%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	10.1%	(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
	30.1%	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	10.2%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	30.1%	(sin.f64 th)
✓	16.3%	th
	11.3%	#s(literal 0 binary64)

Compiler

Compiled 4124 to 1607 computations (61% saved)

regimes457.0ms (3.2%)

Counts

138 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
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(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (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 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (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))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #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)))) (sin.f64 th))

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

Calls

9 calls:

133.0ms	(sin.f64 ky)
43.0ms	(sin.f64 th)
39.0ms	kx
39.0ms	(sin.f64 kx)
39.0ms	th

Results

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes190.0ms (1.3%)

Counts

101 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.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 (cos.f64 ky) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 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)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.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 (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 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
(/.f64 (-.f64 (cos.f64 (.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 th ky) (-.f64 (.f64 ky ky) (.f64 th th))))) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.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) th) (/.f64 #s(literal 1 binary64) (hypot.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))))) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky))))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 ky (.f64 ky ky)) (.f64 th (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 th (+.f64 th ky)))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 (-.f64 (.f64 ky ky) (.f64 th th)) (+.f64 (.f64 th (.f64 th th)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 th th) (.f64 ky (-.f64 ky th))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (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))))
(*.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) (sin.f64 ky))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.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 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 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 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) th) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))
(*.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:

31.0ms	(sin.f64 kx)
30.0ms	(sin.f64 th)
29.0ms	ky
29.0ms	th
28.0ms	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)

regimes257.0ms (1.8%)

Counts

100 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.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 (cos.f64 ky) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 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)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.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 (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 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
(/.f64 (-.f64 (cos.f64 (.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 th ky) (-.f64 (.f64 ky ky) (.f64 th th))))) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.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) th) (/.f64 #s(literal 1 binary64) (hypot.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))))) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky))))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 ky (.f64 ky ky)) (.f64 th (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 th (+.f64 th ky)))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 (-.f64 (.f64 ky ky) (.f64 th th)) (+.f64 (.f64 th (.f64 th th)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 th th) (.f64 ky (-.f64 ky th))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (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))))
(*.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) (sin.f64 ky))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.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 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 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 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) th) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal 1/6 binary64))) th)))

Outputs

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

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

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

Calls

6 calls:

99.0ms	(sin.f64 kx)
31.0ms	ky
30.0ms	kx
28.0ms	(sin.f64 th)
27.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
80.1%	3	`kx`
78.0%	2	`ky`
77.4%	2	`th`
79.5%	3	`(sin.f64 ky)`
81.7%	3	`(sin.f64 kx)`
77.4%	3	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes43.0ms (0.3%)

Counts

99 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.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 (cos.f64 ky) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 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)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.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 (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 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
(/.f64 (-.f64 (cos.f64 (.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 th ky) (-.f64 (.f64 ky ky) (.f64 th th))))) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.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) th) (/.f64 #s(literal 1 binary64) (hypot.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))))) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky))))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 ky (.f64 ky ky)) (.f64 th (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 th (+.f64 th ky)))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 (-.f64 (.f64 ky ky) (.f64 th th)) (+.f64 (.f64 th (.f64 th th)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 th th) (.f64 ky (-.f64 ky th))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (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))))
(*.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) (sin.f64 ky))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.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 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 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 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) th) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))

Outputs

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

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

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

Calls

1 calls:

28.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
81.6%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes44.0ms (0.3%)

Counts

97 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.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 (cos.f64 ky) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 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)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.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 (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 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
(/.f64 (-.f64 (cos.f64 (.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 th ky) (-.f64 (.f64 ky ky) (.f64 th th))))) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.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) th) (/.f64 #s(literal 1 binary64) (hypot.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))))) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky))))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 ky (.f64 ky ky)) (.f64 th (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 th (+.f64 th ky)))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 (-.f64 (.f64 ky ky) (.f64 th th)) (+.f64 (.f64 th (.f64 th th)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 th th) (.f64 ky (-.f64 ky th))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (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))))
(*.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) (sin.f64 ky))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.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 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 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)))))))

Outputs

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

Calls

1 calls:

30.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
81.5%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes39.0ms (0.3%)

Counts

96 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.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 (cos.f64 ky) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 th) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 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)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.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 (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 (sin.f64 th) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) (sin.f64 th))
(/.f64 (-.f64 (cos.f64 (.f64 th (+.f64 (/.f64 ky th) #s(literal -1 binary64)))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 th ky) (-.f64 (.f64 ky ky) (.f64 th th))))) (cos.f64 (+.f64 th ky))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(.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) th) (/.f64 #s(literal 1 binary64) (hypot.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))))) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(.f64 (/.f64 #s(literal -2 binary64) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (.f64 ky (+.f64 th (.f64 (.f64 ky ky) (+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 th (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky))))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 ky (.f64 ky ky)) (.f64 th (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (.f64 th (+.f64 th ky)))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 (-.f64 (.f64 ky ky) (.f64 th th)) (+.f64 (.f64 th (.f64 th th)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 th th) (.f64 ky (-.f64 ky th))))) (cos.f64 (+.f64 th ky))) (.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (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))))
(*.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) (sin.f64 ky))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.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 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) (sin.f64 kx)) (sin.f64 th))

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

Calls

1 calls:

27.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
81.5%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.3%)

Counts

87 → 3

Calls

Call 1

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

Calls

1 calls:

25.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
81.5%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes38.0ms (0.3%)

Counts

86 → 3

Calls

Call 1

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

Calls

1 calls:

24.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
81.4%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes202.0ms (1.4%)

Counts

85 → 3

Calls

Call 1

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

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))))
(sin.f64 th)

Calls

6 calls:

54.0ms	(sin.f64 kx)
39.0ms	ky
25.0ms	th
24.0ms	(sin.f64 th)
23.0ms	kx

Results

Accuracy	Segments	Branch
72.3%	3	`(sin.f64 th)`
72.3%	2	`th`
77.0%	3	`(sin.f64 ky)`
71.5%	2	`ky`
58.0%	2	`kx`
61.7%	4	`(sin.f64 kx)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes432.0ms (3%)

Counts

84 → 3

Calls

Call 1

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

Calls

4 calls:

339.0ms	(sin.f64 ky)
32.0ms	(sin.f64 th)
25.0ms	th
23.0ms	ky

Results

Accuracy	Segments	Branch
64.9%	3	`(sin.f64 th)`
57.0%	3	`ky`
66.7%	3	`th`
64.1%	5	`(sin.f64 ky)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes162.0ms (1.1%)

Counts

83 → 3

Calls

Call 1

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

Outputs

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

(sin.f64 th)

Calls

6 calls:

35.0ms	(sin.f64 ky)
27.0ms	kx
23.0ms	(sin.f64 th)
23.0ms	th
22.0ms	ky

Results

Accuracy	Segments	Branch
48.0%	2	`ky`
52.0%	3	`kx`
55.4%	4	`(sin.f64 kx)`
54.7%	3	`(sin.f64 ky)`
47.8%	4	`(sin.f64 th)`
49.5%	4	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes62.0ms (0.4%)

Counts

67 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	(sin.f64 kx)
24.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
53.5%	3	`(sin.f64 kx)`
49.5%	2	`(sin.f64 ky)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes26.0ms (0.2%)

Counts

58 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))

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

Calls

1 calls:

18.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
50.9%	2	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.3%)

Counts

55 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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 ky) (/.f64 (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 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))

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

Calls

2 calls:

17.0ms	(sin.f64 kx)
17.0ms	kx

Results

Accuracy	Segments	Branch
50.0%	2	`kx`
50.6%	3	`(sin.f64 kx)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.2%)

Counts

50 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.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:

15.0ms

kx

Results

Accuracy	Segments	Branch
50.0%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.3%)

Counts

48 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (/.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))))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.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 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))

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

Calls

3 calls:

15.0ms	(sin.f64 kx)
14.0ms	(sin.f64 ky)
14.0ms	kx

Results

Accuracy	Segments	Branch
48.1%	3	`(sin.f64 kx)`
48.0%	2	`(sin.f64 ky)`
47.6%	2	`kx`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes35.0ms (0.3%)

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.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 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) kx)
(.f64 (sin.f64 ky) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)) th))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))

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

Calls

2 calls:

13.0ms	(sin.f64 ky)
12.0ms	ky

Results

Accuracy	Segments	Branch
48.0%	2	`ky`
47.9%	2	`(sin.f64 ky)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.1%)

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))

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

Calls

1 calls:

9.0ms

ky

Results

Accuracy	Segments	Branch
48.0%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes85.0ms (0.6%)

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) ky))
(/.f64 (.f64 ky (sin.f64 th)) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 kx (*.f64 kx kx))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (.f64 kx (*.f64 kx kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))) ky))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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)))))))

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

Calls

6 calls:

34.0ms	kx
15.0ms	(sin.f64 th)
8.0ms	ky
8.0ms	(sin.f64 ky)
8.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
35.3%	3	`(sin.f64 th)`
34.5%	2	`th`
39.3%	3	`(sin.f64 kx)`
38.8%	2	`kx`
38.6%	2	`(sin.f64 ky)`
38.5%	2	`ky`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes13.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))
(sin.f64 th)

Outputs

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

(sin.f64 th)

Calls

2 calls:

5.0ms	ky
5.0ms	kx

Results

Accuracy	Segments	Branch
35.4%	2	`ky`
32.8%	2	`kx`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes33.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.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 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))))))
(.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th)))))) (+.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 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th 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) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.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 -1/6 binary64) kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))))

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

Calls

3 calls:

23.0ms	ky
5.0ms	kx
5.0ms	th

Results

Accuracy	Segments	Branch
20.8%	2	`kx`
18.7%	2	`th`
22.4%	2	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
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 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
(.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)))

Outputs
#s(literal 0 binary64)
th

Calls

2 calls:

6.0ms	kx
3.0ms	ky

Results

Accuracy	Segments	Branch
20.4%	2	`kx`
20.6%	2	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	ky
1.0ms	kx
1.0ms	th

Results

Accuracy	Segments	Branch
11.3%	1	`th`
11.3%	1	`kx`
11.3%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0015539965587927486	0.06319440868606639
0.0ms	-0.008622305483910585	1.430016566431004e-295

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0015539965587927486	0.06319440868606639
0.0ms	-0.008622305483910585	1.430016566431004e-295

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0015539965587927486	0.06319440868606639
0.0ms	-0.008622305483910585	1.430016566431004e-295

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0015539965587927486	0.06319440868606639
0.0ms	-0.008622305483910585	1.430016566431004e-295

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0015539965587927486	0.06319440868606639
0.0ms	-0.008622305483910585	1.430016566431004e-295

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0015539965587927486	0.06319440868606639
0.0ms	-0.008622305483910585	1.430016566431004e-295

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0257086737246583	0.06482973112447514
0.0ms	-0.16602736441386076	-0.06000220350564607

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.4604737979748923e+83	3.0220735388327306e+83
27.0ms	1.104312105626215e+29	8.327364758003528e+30

Results

35.0ms

192×

valid

Compiler

Compiled 297 to 214 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 15.0ms (55.7% of total)

ival-pow: 7.0ms (26% of total)

ival-div: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

ival-mult: 1.0ms (3.7% of total)

ival-sqrt: 1.0ms (3.7% 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	2.2817458152101746e-13	4.548182197503282e-13
0.0ms	-0.22389081467977956	-0.20710878875633426

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.210020391046465e-108	1.3015335188509416e-107
0.0ms	-0.07280887222243852	-0.042994492997338804

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.210020391046465e-108	1.3015335188509416e-107

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.210020391046465e-108	1.3015335188509416e-107

Results

16.0ms

96×

valid

Compiler

Compiled 133 to 102 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 5.0ms (40% of total)

ival-sqrt: 4.0ms (32% of total)

ival-pow: 2.0ms (16% of total)

ival-div: 1.0ms (8% of total)

ival-mult: 1.0ms (8% of total)

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

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.210020391046465e-108	1.3015335188509416e-107

Results

16.0ms

96×

valid

Compiler

Compiled 133 to 102 computations (23.3% saved)

Precisions

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

ival-sin: 5.0ms (54.8% of total)

ival-pow: 2.0ms (21.9% of total)

ival-div: 1.0ms (11% of total)

ival-mult: 1.0ms (11% of total)

ival-sqrt: 1.0ms (11% of total)

ival-add: 0.0ms (0% 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	2.2817458152101746e-13	4.548182197503282e-13

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.2817458152101746e-13	4.548182197503282e-13

Results

14.0ms

64×

valid

Compiler

Compiled 93 to 70 computations (24.7% saved)

Precisions

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

ival-sin: 3.0ms (47.1% of total)

ival-pow: 1.0ms (15.7% 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)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.2817458152101746e-13	4.548182197503282e-13

Results

9.0ms

64×

valid

Compiler

Compiled 93 to 70 computations (24.7% saved)

Precisions

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

ival-sin: 3.0ms (48.2% of total)

ival-pow: 1.0ms (16.1% 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)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.06323654595032631	4.573132973215404

Results

19.0ms

112×

valid

Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions

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

ival-sin: 9.0ms (61.1% of total)

ival-pow: 2.0ms (13.6% of total)

ival-div: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

ival-mult: 1.0ms (6.8% of total)

ival-sqrt: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.842208481901896e-184	3.734593369122158e-183

Results

10.0ms

80×

valid

Compiler

Compiled 180 to 123 computations (31.7% saved)

Precisions

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

ival-sin: 4.0ms (54% of total)

ival-pow: 2.0ms (27% of total)

ival-div: 1.0ms (13.5% of total)

ival-mult: 1.0ms (13.5% of total)

ival-sqrt: 1.0ms (13.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	9.02520247325998e-132	1.0379345376386491e-128

Results

34.0ms

128×

valid

Compiler

Compiled 265 to 178 computations (32.8% saved)

Precisions

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

ival-mult: 14.0ms (47.9% of total)

ival-sin: 11.0ms (37.6% of total)

ival-pow: 3.0ms (10.3% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch53.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	9.02520247325998e-132	1.0379345376386491e-128

Results

17.0ms

128×

valid

Compiler

Compiled 105 to 90 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 6.0ms (49.3% of total)

ival-pow: 3.0ms (24.7% of total)

ival-div: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

ival-mult: 1.0ms (8.2% of total)

ival-sqrt: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	583
1	178	583

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 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal 1/6 binary64))) th))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.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 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 th #s(literal 112000000000000005886252679168 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 210000000000000002425407278430107981431700665363106426281216799164683496946254479360 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/36028797018963968 binary64)) (.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))))))) (if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5288447750321989/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal 5288447750321989/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 kx #s(literal 309869985370429/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 kx #s(literal 7139404462934685/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 kx #s(literal 1170935903116329/18014398509481984 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 2152829579878715/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872 binary64)) (.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 5931322245600385/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) th)
(if (<=.f64 ky #s(literal 4395421958844917/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) #s(literal 0 binary64) th)
#s(literal 0 binary64)

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 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal 1/6 binary64))) th))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal 1/6 binary64))) th))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64)))))) (sin.f64 th))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.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 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.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 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 th #s(literal 112000000000000005886252679168 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 210000000000000002425407278430107981431700665363106426281216799164683496946254479360 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/36028797018963968 binary64)) (.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))))))) (if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/36028797018963968 binary64)) (.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))))))) (if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5288447750321989/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 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 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5288447750321989/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal 5288447750321989/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 5288447750321989/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 309869985370429/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 kx #s(literal 309869985370429/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 7139404462934685/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (.f64 (sin.f64 th) (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 kx #s(literal 1170935903116329/18014398509481984 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 2152829579878715/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872 binary64)) (.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 2152829579878715/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872 binary64)) (.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 5931322245600385/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) th)
(if (<=.f64 ky #s(literal 5931322245600385/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (.f64 (/.f64 ky kx) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) th)
(if (<=.f64 ky #s(literal 4395421958844917/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) #s(literal 0 binary64) th)
#s(literal 0 binary64)

soundness2.8s (19.5%)

Rules

7322×	`-lowering-.f32`
7322×	`-lowering-.f64`
6970×	`-lowering-.f32`
6970×	`-lowering-.f64`
5688×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	8466
1	2681	6740
0	8227	6740
0	735	5930
1	2616	5085
0	8839	5085
0	32	124
1	211	119
2	1706	114
0	9122	114
0	715	7768
1	2539	6551
0	8596	6551
0	13	16
1	22	11
2	32	11
3	33	11
0	33	11
0	34	112
1	200	107
2	1591	104
0	9104	104
0	405	4436
1	1429	3702
2	5851	3687
0	8002	3687

Stop Event

1×	fuel
1×	iter limit
1×	node limit
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

Compiler

Compiled 2028 to 1106 computations (45.5% saved)

preprocess148.0ms (1%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1378 to 414 computations (70% saved)