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

analyze296.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-pow: 46.0ms (35.3% of total)

ival-sin: 37.0ms (28.4% of total)

ival-mult: 19.0ms (14.6% of total)

ival-sqrt: 13.0ms (10% of total)

ival-add: 8.0ms (6.1% of total)

ival-div: 6.0ms (4.6% of total)

const: 2.0ms (1.5% of total)

backward-pass: 1.0ms (0.8% of total)

sample1.8s (13.1%)

Results

1.5s

8256×

valid

Precisions

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

ival-sin: 618.0ms (55.3% of total)

ival-pow: 207.0ms (18.5% of total)

ival-add: 98.0ms (8.8% of total)

ival-sqrt: 62.0ms (5.5% of total)

ival-mult: 58.0ms (5.2% of total)

ival-div: 57.0ms (5.1% of total)

const: 13.0ms (1.2% of total)

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

Bogosity

preprocess132.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2200×	`fnmadd-define`
1924×	`fma-define`
1234×	`sum3-define`
1146×	`fmsub-define`
1128×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	104	113
2	237	113
3	422	113
4	1017	113
5	2785	113
6	4692	113
7	6172	113
8	7055	113
9	7204	113
10	7315	113
11	7347	113
12	7347	113
0	13	16
1	19	11
2	29	11
3	30	11
0	30	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain224.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
17	0	-	5	(9.12468381323375e-231 9.196632257129574e-159 1.0871864223765326e+49)	`(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	54	(2.407933485027281e-148 5.906223287214949e+265 9.436339376667978e+245)	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	75	(188903862412666880.0 1.3211868205837405e-73 1.0326037677524256e+199)	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Results

161.0ms

512×

valid

Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions

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

ival-sin: 46.0ms (65% of total)

ival-pow: 11.0ms (15.5% of total)

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

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

ival-mult: 3.0ms (4.2% of total)

ival-add: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Status

Accuracy

Program

▶

94.2%

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

▶

99.6%

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	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	31	80
2	35	80
0	35	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize113.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.5%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	94.4%	(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	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Results

89.0ms

256×

valid

Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sin: 19.0ms (36% of total)

ival-pow: 8.0ms (15.2% of total)

compiled-spec: 7.0ms (13.3% of total)

ival-mult: 6.0ms (11.4% of total)

ival-div: 5.0ms (9.5% of total)

ival-sqrt: 4.0ms (7.6% of total)

ival-add: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

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

series37.0ms (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
5.0ms	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	th	@	0	(* (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))))))

rewrite306.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2880×	`-lowering-.f32`
2880×	`-lowering-.f64`
2000×	`+-lowering-+.f64`
2000×	`+-lowering-+.f32`
1960×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	77	60
2	279	60
3	1266	60
4	6768	60
0	8299	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 532

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

simplify378.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5236×	`-lowering-.f32`
5236×	`-lowering-.f64`
1906×	`+-lowering-+.f64`
1906×	`+-lowering-+.f32`
1622×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	4436
1	1414	3702
2	5828	3693
0	8105	3693

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

eval115.0ms (0.8%)

Compiler: Compiled 18104 to 2269 computations (87.5% saved)

prune110.0ms (0.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	880	25	905
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	881	26	907

Accuracy

100.0%

Counts

907 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	99.5%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	97.0%	(/.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal -1 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	97.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	32.4%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (sin.f64 kx)))) (sin.f64 th))
	34.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	31.5%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶	22.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	48.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	53.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	52.4%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))))))))))
	52.5%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.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)))))))))
	52.6%	(.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))))
	53.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
	53.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	78.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (/.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 kx #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal -1 binary64))))))))))
	27.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	49.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
▶	27.7%	(sin.f64 th)

Compiler

Compiled 832 to 565 computations (32.1% saved)

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3824×	`sum3-define`
2064×	`sum5-define`
1946×	`-lowering-.f32`
1946×	`-lowering-.f64`
1834×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	189
1	75	182
2	172	175
3	476	175
4	1571	175
5	3521	175
6	6375	175
7	6646	175
8	6733	175
9	6765	175
10	6778	175
11	6781	175
0	8549	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize237.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	97.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.9%	(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	accuracy	99.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	accuracy	99.7%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 kx kx))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	95.5%	(.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))
✓	accuracy	88.7%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Results

185.0ms

256×

valid

Compiler

Compiled 209 to 29 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 53.0ms (38% of total)

compiled-spec: 44.0ms (31.5% of total)

ival-sin: 19.0ms (13.6% of total)

ival-div: 7.0ms (5% of total)

ival-add: 5.0ms (3.6% of total)

ival-sqrt: 5.0ms (3.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (2.9% of total)

ival-pow: 3.0ms (2.2% of total)

const: 1.0ms (0.7% of total)

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

series45.0ms (0.3%)

Counts

17 → 384

Calls

Call 1

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

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)))))>
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#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
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#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<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)))>
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#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt th>
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#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
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#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))>
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#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
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#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
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#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
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#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
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#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
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#<alt (* -1/2 (pow kx 2))>
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#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 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 (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow ky 2)))) (pow ky 3))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4))))) (pow ky 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow ky 2)))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4))))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4)))))) (pow ky 3)))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 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))) (+ (* 1/36 (/ 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 (* 6 (/ (sin th) (pow ky 3)))>
#<alt (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3))>
#<alt (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (sin th) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3)))>
#<alt (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 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 (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>

Calls

96 calls:

Time	Variable		Point	Expression
8.0ms	kx	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
4.0ms	th	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	ky	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	th	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	kx	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))

rewrite343.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4280×	`-lowering-.f32`
4280×	`-lowering-.f64`
2650×	`/-lowering-/.f32`
2650×	`/-lowering-/.f64`
1660×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	127
1	137	122
2	604	116
3	3464	116
0	8968	116

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 782

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.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 ky th)) #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 ky th)) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -2 binary64)))
(/.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 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (neg.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(/.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 kx)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.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 kx)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.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 kx))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.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 kx)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.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) (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) #s(literal -1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))) (.f64 (-.f64 #s(literal 0 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 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))) (.f64 (-.f64 #s(literal 0 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 -2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 ky th)) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (.f64 (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) (cos.f64 (+.f64 ky th)))) (.f64 (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))))))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))
(.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(.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 kx))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (/.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))) (.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 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 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 ky (+.f64 th (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(*.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 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 #s(literal -2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 ky (+.f64 th (+.f64 ky th))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) #s(literal 2 binary64)))) #s(literal 2 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 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) #s(literal 1 binary64)) ky)
(.f64 (exp.f64 (log1p.f64 (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) ky)

simplify408.0ms (3%)

Algorithm

1×	egg-herbie

Rules

9276×	`-lowering-.f32`
9276×	`-lowering-.f64`
4354×	`+-lowering-+.f64`
4354×	`+-lowering-+.f32`
1868×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	672	7799
1	2396	6370
0	9559	6370

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 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))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow ky 2))) (* 216 (/ (* (sin ky) (sin th)) (pow ky 4)))))) (pow ky 3)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* (sin ky) (sin th)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 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))) (+ (* 1/36 (/ 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)))
(* 6 (/ (sin th) (pow ky 3)))
(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (sin th) (pow ky 3)))
(* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3)))
(/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 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)
(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)
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* -1/6 (pow ky 3))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))

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

eval209.0ms (1.5%)

Compiler: Compiled 30648 to 3159 computations (89.7% saved)

prune208.0ms (1.5%)

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	1399	32	1431
Fresh	8	12	20
Picked	2	3	5
Done	0	1	1
Total	1409	48	1457

Accuracy

100.0%

Counts

1457 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	99.5%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	97.0%	(/.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal -1 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	11.8%	(/.f64 (+.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (sin.f64 th))))) (.f64 ky ky))
	5.5%	(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
	2.6%	(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
	2.5%	(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
	46.2%	(/.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) (sin.f64 kx)))
	50.2%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 kx (.f64 kx #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
	50.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 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))))))))
	50.3%	(/.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)))))))
✓	97.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	50.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
	46.8%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	30.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	53.7%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))) (sin.f64 th)))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th))))
	14.1%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
	2.5%	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	49.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	53.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	54.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	34.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	31.5%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	14.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
	23.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
	20.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
	11.3%	(.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)))) th)
	22.6%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
	22.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
	14.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
	11.0%	(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	55.7%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
▶	4.1%	(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	78.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (/.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 kx #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal -1 binary64))))))))))
	14.2%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	27.1%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	49.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	14.4%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
▶	53.1%	(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	27.7%	(sin.f64 th)
▶	14.8%	th

Compiler

Compiled 1695 to 1129 computations (33.4% saved)

simplify199.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3040×	`sum4-define`
1976×	`-lowering-.f32`
1976×	`-lowering-.f64`
1722×	`fma-define`
1520×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	165
1	86	160
2	203	156
3	567	156
4	1594	156
5	3420	156
6	5972	156
7	6121	156
8	6296	156
9	6542	156
10	6627	156
0	8003	156

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

localize286.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(hypot.f64 (sin.f64 ky) kx)
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	97.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
✓	accuracy	99.9%	(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	accuracy	99.7%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	95.6%	(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	accuracy	99.8%	(.f64 ky (.f64 ky ky))
✓	accuracy	99.7%	(*.f64 (sin.f64 th) #s(literal 6 binary64))
✓	accuracy	95.9%	(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
✓	accuracy	90.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Results

150.0ms	234×	0	valid
30.0ms	11×	3	valid
9.0ms	6×	2	valid
7.0ms	5×	1	valid

Compiler

Compiled 183 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-sin: 41.0ms (31.5% of total)

compiled-spec: 28.0ms (21.5% of total)

ival-mult: 25.0ms (19.2% of total)

ival-sqrt: 11.0ms (8.5% of total)

ival-div: 10.0ms (7.7% of total)

ival-add: 6.0ms (4.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (3.8% of total)

backward-pass: 4.0ms (3.1% of total)

const: 1.0ms (0.8% of total)

series74.0ms (0.5%)

Counts

18 → 396

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) 6) (* ky (* ky ky))))>
#<alt (sin ky)>
#<alt (/ (* (sin th) 6) (* ky (* ky ky)))>
#<alt (* (sin th) 6)>
#<alt (* ky (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))>
#<alt (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))>
#<alt (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))>
#<alt (* (sin ky) (sin th))>
#<alt (sin kx)>
#<alt (* ky (* ky ky))>
#<alt (* (* ky ky) -1/6)>
#<alt (* ky (+ 1 (* (* ky ky) -1/6)))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* kx 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 (* 6 (/ (sin th) (pow ky 2)))>
#<alt (/ (+ (* -1 (* (pow ky 2) (sin th))) (* 6 (sin th))) (pow ky 2))>
#<alt (/ (+ (* 6 (sin th)) (* (pow ky 2) (+ (* -1 (sin th)) (* 1/20 (* (pow ky 2) (sin th)))))) (pow ky 2))>
#<alt (/ (+ (* 6 (sin th)) (* (pow ky 2) (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/840 (* (pow ky 2) (sin th))) (* 1/20 (sin th))))))) (pow ky 2))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* th (sin ky)) (pow ky 3)))>
#<alt (* th (+ (* -1 (/ (* (pow th 2) (sin ky)) (pow ky 3))) (* 6 (/ (sin ky) (pow ky 3)))))>
#<alt (* th (+ (* 6 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1 (/ (sin ky) (pow ky 3))) (* 1/20 (/ (* (pow th 2) (sin ky)) (pow ky 3)))))))>
#<alt (* th (+ (* 6 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1/840 (/ (* (pow th 2) (sin ky)) (pow ky 3))) (* 1/20 (/ (sin ky) (pow ky 3)))))))))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow ky 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 (* 6 (/ th (pow ky 3)))>
#<alt (* th (+ (* -1 (/ (pow th 2) (pow ky 3))) (* 6 (/ 1 (pow ky 3)))))>
#<alt (* th (+ (* (pow th 2) (- (* 1/20 (/ (pow th 2) (pow ky 3))) (/ 1 (pow ky 3)))) (* 6 (/ 1 (pow ky 3)))))>
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/840 (/ (pow th 2) (pow ky 3))) (* 1/20 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3)))) (* 6 (/ 1 (pow ky 3)))))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 (/ (sin th) (pow ky 3)))>
#<alt (* 6 th)>
#<alt (* th (+ 6 (* -1 (pow th 2))))>
#<alt (* th (+ 6 (* (pow th 2) (- (* 1/20 (pow th 2)) 1))))>
#<alt (* th (+ 6 (* (pow th 2) (- (* (pow th 2) (+ 1/20 (* -1/840 (pow th 2)))) 1))))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (* 6 (sin th))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (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 (* ky (+ (* (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))) (+ (* 1/36 (/ 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 (* 6 (/ (sin th) (pow ky 2)))>
#<alt (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 2))>
#<alt (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 2))>
#<alt (* -6 (/ (sin th) (pow ky 2)))>
#<alt (/ (+ (* -36 (/ (sin th) (pow ky 2))) (* -6 (sin th))) (pow ky 2))>
#<alt (/ (+ (* -216 (/ (sin th) (pow ky 4))) (+ (* -36 (/ (sin th) (pow ky 2))) (* -6 (sin th)))) (pow ky 2))>
#<alt (/ (+ (* -216 (/ (sin th) (pow ky 4))) (+ (* -36 (/ (sin th) (pow ky 2))) (+ (* -6 (sin th)) (* -1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6)))))) (pow ky 2))>
#<alt (* (* ky th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (+ (* -1/6 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))>
#<alt (* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (/ (sin th) (+ 1 (* -1/6 (pow ky 2))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 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))) (+ (* 1/36 (/ 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 (* 6 (/ (sin th) (pow ky 3)))>
#<alt (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3))>
#<alt (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (sin th) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3)))>
#<alt (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (* 1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))>
#<alt (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (+ (* 1/2 (/ (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))>
#<alt (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* 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 (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (pow ky 3)>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>

Calls

99 calls:

Time	Variable		Point	Expression
37.0ms	kx	@	0	(sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))
4.0ms	ky	@	0	(/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
1.0ms	ky	@	inf	(/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
1.0ms	ky	@	-inf	(/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
1.0ms	th	@	inf	(* (sin ky) (/ (* (sin th) 6) (* ky (* ky ky))))

rewrite337.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3694×	`-lowering-.f32`
3694×	`-lowering-.f64`
2266×	`/-lowering-/.f32`
2266×	`/-lowering-/.f64`
1406×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	128
1	156	124
2	733	120
3	4038	120
0	8269	120

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 718

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) 6) (* ky (* ky ky))))
(sin ky)
(/ (* (sin th) 6) (* ky (* ky ky)))
(* (sin th) 6)
(* ky (/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
(/ (sin th) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx)))))
(sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))
(/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
(* (sin ky) (sin th))
(sin kx)
(* ky (* ky ky))
(* (* ky ky) -1/6)
(* ky (+ 1 (* (* ky ky) -1/6)))
(sqrt (+ (* (sin ky) (sin ky)) (* kx 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 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
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(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
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(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (hypot.f64 (sin.f64 ky) kx))) #s(literal 2 binary64))
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(/.f64 (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) #s(literal -1 binary64)) (hypot.f64 (sin.f64 ky) kx))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (hypot.f64 (sin.f64 ky) kx))) #s(literal -1 binary64))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
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(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 1 binary64))
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(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 (sin.f64 ky) kx)))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky))
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(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx)))
(.f64 (/.f64 #s(literal -2 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 ky (+.f64 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 #s(literal 1 binary64) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 th)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (cos.f64 (-.f64 ky th)) #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 th ky))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 th ky)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 th ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 (-.f64 ky th)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.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 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (cos.f64 (-.f64 ky th))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sin.f64 th))
(.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 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 ky (+.f64 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 #s(literal -2 binary64) (.f64 (*.f64 (sin.f64 (/.f64 (-.f64 ky (+.f64 th (+.f64 th ky))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 ky)))
(exp.f64 (neg.f64 (*.f64 (log.f64 ky) #s(literal -3 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 ky)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 ky (.f64 ky ky))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 ky (.f64 ky ky))))
(/.f64 (*.f64 ky ky) (/.f64 #s(literal 1 binary64) ky))
(/.f64 (.f64 ky (.f64 ky ky)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky ky))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 ky (.f64 ky ky))) #s(literal -1 binary64))
(pow.f64 ky #s(literal 3 binary64))
(pow.f64 (.f64 ky (.f64 ky ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky ky))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 ky))
(.f64 ky (.f64 ky ky))
(.f64 ky (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (.f64 ky ky) #s(literal 1 binary64)))
(.f64 (.f64 ky ky) ky)
(.f64 (.f64 ky ky) (neg.f64 (-.f64 #s(literal 0 binary64) ky)))
(.f64 (.f64 ky ky) (/.f64 ky #s(literal 1 binary64)))
(.f64 (.f64 ky (*.f64 ky ky)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky ky)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 ky (*.f64 ky ky))))
(.f64 (-.f64 #s(literal 0 binary64) ky) (-.f64 #s(literal 0 binary64) (.f64 ky ky)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 ky ky)) (-.f64 #s(literal 0 binary64) ky))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) ky)) (.f64 ky ky))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 ky ky))) ky)
(.f64 ky (.f64 ky #s(literal -1/6 binary64)))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(.f64 (.f64 ky (*.f64 ky #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 ky #s(literal -1/6 binary64)) ky)
(+.f64 ky (.f64 (.f64 ky (*.f64 ky ky)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 ky (*.f64 ky ky)) #s(literal -1/6 binary64)) ky)
(exp.f64 (log.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))))
(fma.f64 ky #s(literal 1 binary64) (.f64 (.f64 ky (*.f64 ky ky)) #s(literal -1/6 binary64)))
(fma.f64 ky (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky)
(fma.f64 (.f64 ky ky) (.f64 ky #s(literal -1/6 binary64)) ky)
(fma.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/6 binary64) ky)
(fma.f64 #s(literal 1 binary64) ky (.f64 (.f64 ky (*.f64 ky ky)) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 ky (*.f64 ky ky)) #s(literal -1/6 binary64)) ky)
(fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)
(fma.f64 (.f64 ky (.f64 ky #s(literal -1/6 binary64))) ky ky)
(fma.f64 (.f64 (.f64 ky (*.f64 ky ky)) #s(literal -1/6 binary64)) #s(literal 1 binary64) ky)
(fma.f64 (.f64 ky #s(literal -1/6 binary64)) (.f64 ky ky) ky)
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))
(.f64 ky (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))
(.f64 ky (exp.f64 (log1p.f64 (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) ky)
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))) #s(literal 1 binary64)) ky)
(.f64 (exp.f64 (log1p.f64 (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) ky)
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 kx kx)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 kx kx))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 kx kx)))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 kx kx)))))))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))
(sqrt.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 kx kx)))
(neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))
(pow.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 kx kx)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 kx kx))))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))

simplify566.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

5716×	`-lowering-.f32`
5716×	`-lowering-.f64`
5662×	`+-lowering-+.f64`
5662×	`+-lowering-+.f32`
1968×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	870	7615
1	3019	6491
2	7923	6479
0	8740	6479

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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)))
(* 6 (/ (sin th) (pow ky 2)))
(/ (+ (* -1 (* (pow ky 2) (sin th))) (* 6 (sin th))) (pow ky 2))
(/ (+ (* 6 (sin th)) (* (pow ky 2) (+ (* -1 (sin th)) (* 1/20 (* (pow ky 2) (sin th)))))) (pow ky 2))
(/ (+ (* 6 (sin th)) (* (pow ky 2) (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/840 (* (pow ky 2) (sin th))) (* 1/20 (sin th))))))) (pow ky 2))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* th (sin ky)) (pow ky 3)))
(* th (+ (* -1 (/ (* (pow th 2) (sin ky)) (pow ky 3))) (* 6 (/ (sin ky) (pow ky 3)))))
(* th (+ (* 6 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1 (/ (sin ky) (pow ky 3))) (* 1/20 (/ (* (pow th 2) (sin ky)) (pow ky 3)))))))
(* th (+ (* 6 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1/840 (/ (* (pow th 2) (sin ky)) (pow ky 3))) (* 1/20 (/ (sin ky) (pow ky 3)))))))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 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)
(* 6 (/ th (pow ky 3)))
(* th (+ (* -1 (/ (pow th 2) (pow ky 3))) (* 6 (/ 1 (pow ky 3)))))
(* th (+ (* (pow th 2) (- (* 1/20 (/ (pow th 2) (pow ky 3))) (/ 1 (pow ky 3)))) (* 6 (/ 1 (pow ky 3)))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/840 (/ (pow th 2) (pow ky 3))) (* 1/20 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3)))) (* 6 (/ 1 (pow ky 3)))))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 (/ (sin th) (pow ky 3)))
(* 6 th)
(* th (+ 6 (* -1 (pow th 2))))
(* th (+ 6 (* (pow th 2) (- (* 1/20 (pow th 2)) 1))))
(* th (+ 6 (* (pow th 2) (- (* (pow th 2) (+ 1/20 (* -1/840 (pow th 2)))) 1))))
(* 6 (sin th))
(* 6 (sin th))
(* 6 (sin th))
(* 6 (sin th))
(* 6 (sin th))
(* 6 (sin th))
(* 6 (sin th))
(* 6 (sin th))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))))
(* ky (+ (* (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))))
(* ky (+ (* (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))) (+ (* 1/36 (/ 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))))
(* 6 (/ (sin th) (pow ky 2)))
(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 2))
(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 2))
(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 2))
(* -6 (/ (sin th) (pow ky 2)))
(/ (+ (* -36 (/ (sin th) (pow ky 2))) (* -6 (sin th))) (pow ky 2))
(/ (+ (* -216 (/ (sin th) (pow ky 4))) (+ (* -36 (/ (sin th) (pow ky 2))) (* -6 (sin th)))) (pow ky 2))
(/ (+ (* -216 (/ (sin th) (pow ky 4))) (+ (* -36 (/ (sin th) (pow ky 2))) (+ (* -6 (sin th)) (* -1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6)))))) (pow ky 2))
(* (* ky th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))
(* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(/ (sin th) (+ 1 (* -1/6 (pow ky 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 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))) (+ (* 1/36 (/ 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)))
(* 6 (/ (sin th) (pow ky 3)))
(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (sin th) (pow ky 3)))
(* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3)))
(/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(* 1/6 (pow ky 3))
(* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))
(* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))
(* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(+ (* 1/2 (/ (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))
(+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* 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)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(pow ky 3)
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* -1/6 (pow ky 3))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))

Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 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)))))) (* 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 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 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)))))
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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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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 kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 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)))))))))) ky)
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1
#s(literal 1 binary64)
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(sin kx)
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(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)))))))
(+ (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 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 kx)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky 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))
(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 #s(literal 1/2 binary64) (.f64 kx (/.f64 kx (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 ky)) (.f64 #s(literal 1/2 binary64) (.f64 (+.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))))) (*.f64 kx (/.f64 kx (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))
(* 6 (/ (sin th) (pow ky 2)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky ky))
(/ (+ (* -1 (* (pow ky 2) (sin th))) (* 6 (sin th))) (pow ky 2))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(/ (+ (* 6 (sin th)) (* (pow ky 2) (+ (* -1 (sin th)) (* 1/20 (* (pow ky 2) (sin th)))))) (pow ky 2))
(/.f64 (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/20 binary64) (.f64 ky ky)))))) (*.f64 ky ky))
(/ (+ (* 6 (sin th)) (* (pow ky 2) (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/840 (* (pow ky 2) (sin th))) (* 1/20 (sin th))))))) (pow ky 2))
(/.f64 (+.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/840 binary64) (.f64 ky ky)) #s(literal 1/20 binary64)))))) (*.f64 ky ky))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* th (sin ky)) (pow ky 3)))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(* th (+ (* -1 (/ (* (pow th 2) (sin ky)) (pow ky 3))) (* 6 (/ (sin ky) (pow ky 3)))))
(.f64 th (-.f64 (/.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (/.f64 (.f64 (sin.f64 ky) (.f64 th th)) (.f64 ky (.f64 ky ky)))))
(* th (+ (* 6 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1 (/ (sin ky) (pow ky 3))) (* 1/20 (/ (* (pow th 2) (sin ky)) (pow ky 3)))))))
(.f64 th (+.f64 (/.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 th th) (-.f64 (.f64 (/.f64 #s(literal 1/20 binary64) ky) (/.f64 (.f64 (sin.f64 ky) (.f64 th th)) (.f64 ky ky))) (/.f64 (sin.f64 ky) (.f64 ky (.f64 ky ky)))))))
(* th (+ (* 6 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1 (/ (sin ky) (pow ky 3))) (* (pow th 2) (+ (* -1/840 (/ (* (pow th 2) (sin ky)) (pow ky 3))) (* 1/20 (/ (sin ky) (pow ky 3)))))))))
(.f64 th (+.f64 (/.f64 (.f64 #s(literal 6 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 th th) (-.f64 (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/840 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 th th)) (.f64 ky (.f64 ky ky)))) (/.f64 (.f64 #s(literal 1/20 binary64) (sin.f64 ky)) (.f64 ky (.f64 ky ky))))) (/.f64 (sin.f64 ky) (.f64 ky (.f64 ky ky)))))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
(* 6 (/ (* (sin ky) (sin th)) (pow ky 3)))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 ky (.f64 ky ky))))
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 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(* 6 (/ th (pow ky 3)))
(/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* th (+ (* -1 (/ (pow th 2) (pow ky 3))) (* 6 (/ 1 (pow ky 3)))))
(.f64 th (-.f64 (/.f64 #s(literal 6 binary64) (.f64 ky (.f64 ky ky))) (/.f64 (.f64 th th) (.f64 ky (.f64 ky ky)))))
(* th (+ (* (pow th 2) (- (* 1/20 (/ (pow th 2) (pow ky 3))) (/ 1 (pow ky 3)))) (* 6 (/ 1 (pow ky 3)))))
(.f64 th (+.f64 (/.f64 #s(literal 6 binary64) (.f64 ky (.f64 ky ky))) (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 ky (.f64 ky ky))) (/.f64 (.f64 (.f64 th th) #s(literal 1/20 binary64)) (.f64 ky (*.f64 ky ky)))))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/840 (/ (pow th 2) (pow ky 3))) (* 1/20 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3)))) (* 6 (/ 1 (pow ky 3)))))
(.f64 th (+.f64 (/.f64 #s(literal 6 binary64) (.f64 ky (.f64 ky ky))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 th th) #s(literal -1/840 binary64)) (.f64 ky (.f64 ky ky))) (/.f64 #s(literal 1/20 binary64) (.f64 ky (.f64 ky ky))))) (/.f64 #s(literal -1 binary64) (.f64 ky (*.f64 ky ky)))))))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 (/ (sin th) (pow ky 3)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky)))
(* 6 th)
(*.f64 th #s(literal 6 binary64))
(* th (+ 6 (* -1 (pow th 2))))
(.f64 th (-.f64 #s(literal 6 binary64) (.f64 th th)))
(* th (+ 6 (* (pow th 2) (- (* 1/20 (pow th 2)) 1))))
(.f64 th (+.f64 #s(literal 6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 th th) #s(literal 1/20 binary64))))))
(* th (+ 6 (* (pow th 2) (- (* (pow th 2) (+ 1/20 (* -1/840 (pow th 2)))) 1))))
(.f64 th (+.f64 #s(literal 6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/20 binary64) (.f64 (*.f64 th th) #s(literal -1/840 binary64))))))))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(* 6 (sin th))
(*.f64 (sin.f64 th) #s(literal 6 binary64))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(* ky (+ (* (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 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 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (.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))) (* (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))) (+ (* 1/36 (/ 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 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 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))))))))))
(* 6 (/ (sin th) (pow ky 2)))
(/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky ky))
(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 2))
(/.f64 (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 ky ky))) (.f64 ky ky))
(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))))) (*.f64 ky ky))
(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 2))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 216 binary64) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (sin.f64 th) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 ky #s(literal 6 binary64)))) (.f64 ky ky))
(* -6 (/ (sin th) (pow ky 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(/ (+ (* -36 (/ (sin th) (pow ky 2))) (* -6 (sin th))) (pow ky 2))
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(* (* ky th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* th (+ (* -1/6 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))
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(* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
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(* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(/ (sin th) (+ 1 (* -1/6 (pow ky 2))))
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(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* (pow ky 2) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (+ 1 (* -1/6 (pow ky 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
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(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
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(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(/ (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)))
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(+ (* (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)))
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(+ (* (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))) (+ (* 1/36 (/ 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)))
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(* 6 (/ (sin th) (pow ky 3)))
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(/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3))
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(/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3))
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(/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3))
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(* -6 (/ (sin th) (pow ky 3)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky) ky)
(* -1 (/ (+ (* 6 (sin th)) (* 36 (/ (sin th) (pow ky 2)))) (pow ky 3)))
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(* -1 (/ (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4))))) (pow ky 3)))
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(* -1 (/ (+ (* 1/12 (/ (* (sin th) (- 15552 (* 1296 (pow (sin kx) 2)))) (pow ky 6))) (+ (* 6 (sin th)) (+ (* 36 (/ (sin th) (pow ky 2))) (* 216 (/ (sin th) (pow ky 4)))))) (pow ky 3)))
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(/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8))))))))))) (* 1/2 (* ky (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (sin th) (* ky (+ 1 (* -1/6 (pow ky 2))))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))))))
(* (sin th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky 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 #s(literal -1/2 binary64) (.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
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(* 1/6 (pow ky 3))
(.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))
(* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 6 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))
(* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 8 binary64))) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 6 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))) (.f64 #s(literal -1 binary64) (.f64 ky (.f64 ky ky))))
(* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 8 binary64))) (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (.f64 #s(literal -1 binary64) (.f64 ky (*.f64 ky ky))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(+ (* 1/2 (/ (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (/.f64 (.f64 kx kx) ky) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))
(+.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 ky ky)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (/.f64 (/.f64 (.f64 kx kx) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))))
(+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))
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(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(/ (* ky (sin th)) kx)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (.f64 kx (.f64 kx kx))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) (.f64 (sin.f64 ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))) (.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 ky) #s(literal 2 binary64)) (.f64 kx kx))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) (.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 kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (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))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(+.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 -5/16 binary64) (.f64 (sin.f64 th) (.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 th) kx) kx)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 th) kx) kx))))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 th) kx) kx)))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))))) (pow.f64 kx #s(literal 6 binary64)))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 th) kx) kx)))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 kx #s(literal 4 binary64))) (.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 th) kx) kx))))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
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(* 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 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky)))))))
(* 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 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)))
(* 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 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 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 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(pow ky 3)
(.f64 ky (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(* -1/6 (pow ky 2))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) kx))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
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(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
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(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (.f64 #s(literal 1/2 binary64) (.f64 kx (/.f64 kx (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 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 #s(literal -1/8 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(+.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 1/16 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 kx (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))))))
(* -1 kx)
(-.f64 #s(literal 0 binary64) kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(-.f64 #s(literal 0 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) kx))

eval239.0ms (1.7%)

Compiler: Compiled 25034 to 3126 computations (87.5% saved)

prune537.0ms (3.9%)

Pruning

56 alts after pruning (50 fresh and 6 done)

	Pruned	Kept	Total
New	1279	29	1308
Fresh	18	21	39
Picked	3	2	5
Done	0	4	4
Total	1300	56	1356

Accuracy

100.0%

Counts

1356 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	99.5%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	97.0%	(/.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal -1 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	8.0%	(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
	46.2%	(/.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) (sin.f64 kx)))
	50.2%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 kx (.f64 kx #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
	50.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 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))))))))
	50.3%	(/.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)))))))
✓	97.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	50.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
	21.0%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
	21.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
	46.8%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	28.1%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
	30.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	31.5%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	30.8%	(/.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)))))
	14.4%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	49.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	53.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
	2.5%	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	49.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	34.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	53.1%	(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
	14.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
▶	20.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
	22.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
	6.1%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
	45.2%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))))
	3.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	34.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	22.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	27.1%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
▶	49.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
▶	14.4%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	14.4%	(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
▶	25.9%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	25.8%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	26.0%	(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	30.6%	(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
	64.3%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	32.5%	(.f64 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
	8.4%	(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
	2.9%	(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
	31.5%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	21.0%	(*.f64 ky (/.f64 (sin.f64 th) kx))
	26.6%	(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	27.7%	(sin.f64 th)
✓	14.8%	th

Compiler

Compiled 1830 to 1214 computations (33.7% saved)

simplify283.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	cost-diff	0	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (*.f64 ky ky))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (*.f64 ky ky)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
✓	cost-diff	256	(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) 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	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Rules

3576×	`-lowering-.f32`
3576×	`-lowering-.f64`
3438×	`+-lowering-+.f64`
3438×	`+-lowering-+.f32`
2546×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	359
1	143	334
2	418	316
3	1284	312
4	3347	312
5	6178	309
6	7453	309
7	7700	309
8	7765	309
9	7899	309
0	9197	309

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize348.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	96.6%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	99.7%	(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
✓	accuracy	99.4%	(.f64 (.f64 th th) #s(literal -1/5040 binary64))
✓	accuracy	94.3%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓	accuracy	86.4%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))
✓	accuracy	95.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
✓	accuracy	91.7%	(.f64 (.f64 (*.f64 kx kx) ky) ky)
✓	accuracy	89.6%	(.f64 (.f64 kx kx) ky)
✓	accuracy	68.6%	(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (*.f64 ky 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	99.9%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
✓	accuracy	99.4%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	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 th))
✓	accuracy	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Results

272.0ms

256×

valid

Compiler

Compiled 423 to 44 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-sin: 42.0ms (33% of total)

ival-mult: 35.0ms (27.5% of total)

compiled-spec: 14.0ms (11% of total)

ival-add: 11.0ms (8.6% of total)

...c/correct-round.rkt:119:19: 11.0ms (8.6% of total)

ival-div: 9.0ms (7.1% of total)

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

const: 1.0ms (0.8% of total)

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

series66.0ms (0.5%)

Counts

23 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
15.0ms	kx	@	inf	(* (+ 1 (/ (+ (* -1/2 (* kx kx)) (* -1/6 (* (* (* kx kx) ky) ky))) (* ky ky))) (sin th))
2.0ms	kx	@	-inf	(* ky (/ (* th (+ 1 (* (* th th) (+ -1/6 (* (* th th) (+ 1/120 (* (* th th) -1/5040))))))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	kx	@	inf	(* ky (/ (* th (+ 1 (* (* th th) (+ -1/6 (* (* th th) (+ 1/120 (* (* th th) -1/5040))))))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
2.0ms	kx	@	0	(* ky (/ (* th (+ 1 (* (* th th) (+ -1/6 (* (* th th) (+ 1/120 (* (* th th) -1/5040))))))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))
1.0ms	ky	@	0	(* ky (/ (* th (+ 1 (* (* th th) (+ -1/6 (* (* th th) (+ 1/120 (* (* th th) -1/5040))))))) (sqrt (+ (* (* ky (+ 1 (* (* ky ky) -1/6))) (* ky (+ 1 (* (* ky ky) -1/6)))) (* (sin kx) (sin kx))))))

rewrite286.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3156×	`-lowering-.f32`
3156×	`-lowering-.f64`
2614×	`fma-lowering-fma.f32`
2614×	`fma-lowering-fma.f64`
1866×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	238
1	207	222
2	869	207
3	3890	203
0	8117	203

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 657

Calls

Call 1

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

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

simplify433.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

6428×	`-lowering-.f32`
6428×	`-lowering-.f64`
5858×	`+-lowering-+.f64`
5858×	`+-lowering-+.f32`
1742×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	806	11431
1	2874	9240
0	8150	9240

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (sin kx) (sin th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (sin ky) (sin th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (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)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* (pow kx 2) (- (* -1/6 (pow ky 2)) 1/2))
(* -1/2 (pow kx 2))
(+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))
(+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))
(+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2))))
(* -1/6 (* (pow kx 2) (pow ky 2)))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* -1/6 (* (pow kx 2) (pow ky 2)))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(* (pow ky 2) (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))
(sin th)
(+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))
(+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))
(+ (sin th) (* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2))))))))
(* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* -1 (* (pow kx 2) (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1 (* (sin th) (+ 1/6 (* 1/2 (/ 1 (pow ky 2)))))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* -1/6 (* (pow th 2) (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2)))))) (* -1/6 (pow kx 2))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* -1/6 (pow kx 2)) (* (pow th 2) (+ (* -1/6 (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))) (* 1/120 (* (pow th 2) (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (* -1/6 (pow kx 2))))))))))))
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(/ (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sin kx))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sin kx))))
(* 6 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2)))
(/ (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2)))) (pow ky 2))
(/ (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (+ (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 4))))) (pow ky 2))
(/ (+ (* 1/12 (/ (* th (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (+ (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 4)))))) (pow ky 2))
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(* (* ky th) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* th (+ (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))))
(* -1/5040 (* (* ky (pow th 7)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(* (pow th 7) (+ (* -1/5040 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (/ ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* (pow th 7) (+ (* -1/6 (* (/ ky (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/5040 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (* (/ ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(* (pow th 7) (+ (* -1/6 (* (/ ky (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/5040 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* 1/120 (* (/ ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (/ ky (pow th 6)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(* -1/5040 (* (* ky (pow th 7)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(* -1 (* (pow th 7) (+ (* -1/120 (* (/ ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/5040 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(* -1 (* (pow th 7) (+ (* -1/120 (* (/ ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* 1/5040 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (* (/ ky (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* -1 (* (pow th 7) (+ (* -1 (* (/ ky (pow th 6)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/120 (* (/ ky (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* 1/5040 (* ky (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/6 (* (/ ky (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
(/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (+ 1 (* -1/6 (pow ky 2))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (+ 1 (* -1/6 (pow ky 2)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (+ 1 (* -1/6 (pow ky 2)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* (pow ky 2) (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (+ 1 (* -1/6 (pow ky 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
(* -1/5040 (* (pow th 7) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(* (pow th 7) (+ (* -1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* (pow th 7) (+ (* -1/6 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(* (pow th 7) (+ (* -1/6 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (+ (* 1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (/ 1 (pow th 6)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(* -1/5040 (* (pow th 7) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(* -1 (* (pow th 7) (+ (* -1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(* -1 (* (pow th 7) (+ (* -1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* 1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/6 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(* -1 (* (pow th 7) (+ (* -1 (* (/ 1 (pow th 6)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* 1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/6 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
(/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sin kx)))
(* 6 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 3)))
(/ (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (+ (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* th (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (+ (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (+ (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (+ (* 36 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 2))) (* 216 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (pow ky 4)))))) (pow ky 3)))
(/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* ky (* th (* (+ 1 (* -1/6 (pow ky 2))) (* (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 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))))
(* -1/5040 (pow th 7))
(* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))
(* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(* (pow th 7) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(* -1/5040 (pow th 7))
(* -1 (* (pow th 7) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))
(* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))
(* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))
(* -1/5040 (pow th 6))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(* -1/5040 (pow th 6))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ th (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3))) (/ th (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ th (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ th (sin kx)))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ th (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) ky)
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* (pow kx 2) (pow ky 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/5040 (pow th 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow 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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 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 (/ (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 #s(literal 1/2 binary64) (.f64 (.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))))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.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)))) #s(literal -1/2 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 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))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))) (/.f64 (*.f64 #s(literal 1/120 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 (.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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* 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 kx) (sin th))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (*.f64 (sin.f64 th) (sin.f64 kx))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)))))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
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(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* (* ky (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 ky (.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* th (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 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)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))))
(.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(* th (+ (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))))
(.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 th th)))))))))
(* -1/5040 (* (pow th 7) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
(.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (pow th 7) (+ (* -1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))))
(.f64 (pow.f64 th #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/5040 binary64))))
(* (pow th 7) (+ (* -1/6 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (* 1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(.f64 (pow.f64 th #s(literal 7 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/5040 binary64))) (.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))))))
(* (pow th 7) (+ (* -1/6 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (+ (* -1/5040 (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))) (+ (* 1/120 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))) (* (/ 1 (pow th 6)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))))))
(.f64 (pow.f64 th #s(literal 7 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/5040 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 6 binary64))) (/.f64 #s(literal 1/120 binary64) (.f64 th th))))))
(* -1/5040 (* (pow th 7) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))))
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(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.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))))
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(* -1/5040 (pow th 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 7 binary64)))
(* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))
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(* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(.f64 (pow.f64 th #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 th #s(literal 4 binary64))))))
(* (pow th 7) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))
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(* -1/5040 (pow th 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 7 binary64)))
(* -1 (* (pow th 7) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))
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(* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))
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(* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))))))
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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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))
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(* -1/5040 (pow th 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 6 binary64)))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))
(.f64 (pow.f64 th #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/5040 binary64)))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(.f64 (pow.f64 th #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 th #s(literal 4 binary64))))))
(* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))
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(* -1/5040 (pow th 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 6 binary64)))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))
(.f64 (pow.f64 th #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/5040 binary64)))
(* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(.f64 (pow.f64 th #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 th #s(literal 4 binary64))))))
(* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))
(.f64 (pow.f64 th #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 th #s(literal 4 binary64)))))))
(/ (* 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 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx))) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.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)))))))))))))
(* 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 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx))) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.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 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 th (sin.f64 kx)) (+.f64 (/.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)))) #s(literal -1/2 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 (.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 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ th (sin kx))
(/.f64 th (sin.f64 kx))
(+ (* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3))) (/ th (sin kx)))
(+.f64 (/.f64 th (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ th (sin kx)))
(+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.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 (/ th (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ th (sin kx)))
(+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.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 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (.f64 (.f64 th (sin.f64 kx)) (+.f64 (/.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)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ th (sin ky))
(/.f64 th (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))
(+.f64 (/.f64 th (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ th (sin ky)))
(+.f64 (/.f64 th (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 th (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ th (sin ky)))
(+.f64 (/.f64 th (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.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)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 th (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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)
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) ky)
(.f64 ky (.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* (pow kx 2) (pow ky 2))
(.f64 (.f64 ky ky) (*.f64 kx kx))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/5040 (pow th 2))
(.f64 #s(literal -1/5040 binary64) (.f64 th th))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))

eval238.0ms (1.7%)

Compiler: Compiled 37675 to 3331 computations (91.2% saved)

prune241.0ms (1.8%)

Pruning

76 alts after pruning (69 fresh and 7 done)

	Pruned	Kept	Total
New	1366	35	1401
Fresh	11	34	45
Picked	4	1	5
Done	0	6	6
Total	1381	76	1457

Accuracy

100.0%

Counts

1457 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	49.1%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) th))
	97.0%	(/.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	16.0%	(/.f64 (.f64 (.f64 ky 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.f64 kx))
	3.0%	(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
	2.5%	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
	2.5%	(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
	8.0%	(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
	50.2%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 kx (.f64 kx #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
	50.1%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 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))))))))
	50.3%	(/.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)))))))
✓	97.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	50.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
	21.0%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
	21.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
	28.1%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
	30.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	31.5%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	30.8%	(/.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)))))
	14.4%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	49.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	49.7%	(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
	27.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	34.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	49.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	53.0%	(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
	25.9%	(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
	23.5%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	49.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	34.8%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	25.9%	(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
	14.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
	22.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
	14.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
	24.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
	7.1%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	6.1%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
	45.2%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))))
	2.6%	(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
	3.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	22.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	27.1%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))
	27.1%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	30.1%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
	30.4%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
	27.0%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
	14.8%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	18.9%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	11.2%	(.f64 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
	10.5%	(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
	14.4%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (*.f64 th #s(literal -1/6 binary64)) th)))
	8.2%	(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
	9.8%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	2.9%	(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
	25.8%	(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	17.4%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
	17.7%	(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
	26.0%	(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	30.6%	(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
	64.3%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	8.4%	(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
	2.9%	(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
	31.5%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	21.0%	(*.f64 ky (/.f64 (sin.f64 th) kx))
	26.6%	(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
	17.2%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	7.4%	(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
	9.8%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	27.7%	(sin.f64 th)
✓	14.8%	th

Compiler

Compiled 3472 to 1363 computations (60.7% saved)

regimes377.0ms (2.7%)

Counts

123 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(/.f64 (+.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (sin.f64 th))))) (.f64 ky ky))
(*.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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))) (sin.f64 th)))
(/.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)))))))
(/.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) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.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)))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 kx (.f64 kx #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 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))))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal -1 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (/.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 kx #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal -1 binary64))))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

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

Calls

9 calls:

47.0ms	th
46.0ms	ky
46.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
39.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
38.0ms	(sin.f64 th)

Results

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes305.0ms (2.2%)

Counts

112 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(/.f64 (+.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (sin.f64 th))))) (.f64 ky ky))
(*.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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))) (sin.f64 th)))
(/.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)))))))
(/.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) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.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)))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 kx (.f64 kx #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 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))))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

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

Calls

7 calls:

62.0ms	ky
38.0ms	(sin.f64 ky)
34.0ms	(sin.f64 kx)
33.0ms	(sin.f64 th)
32.0ms	th

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes267.0ms (1.9%)

Counts

111 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(/.f64 (+.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (sin.f64 th))))) (.f64 ky ky))
(*.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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))) (sin.f64 th)))
(/.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)))))))
(/.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) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.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)))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 kx (.f64 kx #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx)))))))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 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))))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))))

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

Calls

7 calls:

53.0ms	(sin.f64 th)
36.0ms	th
33.0ms	ky
32.0ms	(sin.f64 kx)
32.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.6%	2	`kx`
78.5%	3	`ky`
82.3%	2	`th`
79.3%	4	`(sin.f64 ky)`
76.5%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
78.2%	3	`(sin.f64 kx)`
82.3%	3	`(sin.f64 th)`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes42.0ms (0.3%)

Counts

91 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(/.f64 (+.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (sin.f64 th))))) (.f64 ky ky))
(*.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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))

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

Calls

1 calls:

27.0ms

th

Results

Accuracy	Segments	Branch
82.2%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes201.0ms (1.5%)

Counts

86 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(/.f64 (+.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (sin.f64 th))))) (.f64 ky ky))

Outputs

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

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

(sin.f64 th)

Calls

6 calls:

50.0ms	(sin.f64 th)
30.0ms	ky
27.0ms	(sin.f64 kx)
27.0ms	th
26.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
73.0%	3	`(sin.f64 ky)`
64.3%	1	`kx`
66.0%	2	`(sin.f64 kx)`
67.0%	2	`ky`
68.4%	3	`(sin.f64 th)`
68.4%	2	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes51.0ms (0.4%)

Counts

84 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))) (sin.f64 th)))
(.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) (.f64 (sin.f64 th) ky)))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (.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))))))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.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))))) (sin.f64 kx))))

Outputs

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

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

(sin.f64 th)

Calls

1 calls:

39.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
72.4%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes34.0ms (0.2%)

Counts

78 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #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 ky (/.f64 (sin.f64 th) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 (sin.f64 ky) kx))) (sin.f64 th))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))

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

Calls

1 calls:

23.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
72.4%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes34.0ms (0.2%)

Counts

69 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))

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

Calls

1 calls:

23.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
71.5%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes141.0ms (1%)

Counts

67 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.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 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))

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

Calls

6 calls:

28.0ms	th
24.0ms	(sin.f64 kx)
20.0ms	(sin.f64 ky)
20.0ms	kx
20.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
47.8%	3	`kx`
52.8%	4	`(sin.f64 kx)`
42.6%	3	`(sin.f64 th)`
46.1%	2	`ky`
45.7%	4	`th`
51.5%	3	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes29.0ms (0.2%)

Counts

63 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))

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

Calls

1 calls:

19.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
51.4%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes51.0ms (0.4%)

Counts

61 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(.f64 (sin.f64 ky) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(/.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) #s(literal 6 binary64))) (.f64 ky (.f64 ky ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)))
(.f64 ky (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 kx #s(literal 1/2 binary64)))) (sin.f64 th))
(.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) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.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 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64))))))) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64))))))) (*.f64 ky th))
(/.f64 ky (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky #s(literal -1/6 binary64)))))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))

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

Calls

2 calls:

24.0ms	(sin.f64 ky)
19.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
51.5%	5	`(sin.f64 kx)`
51.1%	3	`(sin.f64 ky)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.1%)

Counts

41 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))

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

Calls

1 calls:

12.0ms

(sin.f64 ky)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes69.0ms (0.5%)

Counts

37 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 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 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) 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))))) (*.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (*.f64 ky ky))
(.f64 ky (/.f64 (.f64 (.f64 #s(literal 6 binary64) 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))))) (.f64 ky (*.f64 ky ky))))
(.f64 ky (.f64 (+.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)))) (/.f64 th (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (*.f64 kx kx))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -6 binary64)) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th #s(literal 6 binary64)) (.f64 ky (.f64 ky ky))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (.f64 ky ky))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))
(.f64 ky (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky))
(.f64 (.f64 kx kx) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1 binary64) (sin.f64 th))))
(.f64 ky (/.f64 (sin.f64 th) (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))))))
(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (/.f64 (.f64 (sin.f64 th) #s(literal 6 binary64)) (.f64 ky (*.f64 ky ky))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 kx kx) ky) ky))) (.f64 ky ky))) (sin.f64 th))
(/.f64 (.f64 (.f64 ky 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.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal -1/6 binary64))) (.f64 (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))))))) (.f64 ky ky)) (sin.f64 th))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
(.f64 ky (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))))))) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.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 ky (/.f64 (sin.f64 th) kx))
(sin.f64 th)

Calls

5 calls:

16.0ms	kx
14.0ms	th
13.0ms	ky
11.0ms	(sin.f64 th)
11.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
32.4%	3	`(sin.f64 th)`
33.9%	3	`th`
38.4%	2	`ky`
36.7%	4	`kx`
37.6%	5	`(sin.f64 kx)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes7.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

ky

Results

Accuracy	Segments	Branch
34.4%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes52.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	kx
5.0ms	(sin.f64 th)
5.0ms	th
5.0ms	ky

Results

Accuracy	Segments	Branch
27.7%	1	`(sin.f64 th)`
29.3%	2	`th`
29.6%	2	`kx`
30.5%	2	`ky`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes19.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	kx
4.0ms	ky
4.0ms	th

Results

Accuracy	Segments	Branch
16.4%	2	`th`
17.7%	2	`kx`
18.5%	2	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

1.0ms	ky
1.0ms	kx
1.0ms	th

Results

Accuracy	Segments	Branch
14.8%	1	`th`
14.8%	1	`kx`
14.8%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.6006543550425527e-6	0.017789116764130457

Results

22.0ms

128×

valid

Compiler

Compiled 241 to 162 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 9.0ms (55.7% of total)

ival-pow: 3.0ms (18.6% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-div: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

ival-mult: 1.0ms (6.2% of total)

const: 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
25.0ms	1.6006543550425527e-6	0.017789116764130457

Results

21.0ms

128×

valid

Compiler

Compiled 241 to 162 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 7.0ms (45% of total)

ival-add: 3.0ms (19.3% of total)

ival-pow: 3.0ms (19.3% of total)

ival-div: 1.0ms (6.4% of total)

ival-mult: 1.0ms (6.4% of total)

ival-sqrt: 1.0ms (6.4% 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	0.004879194000020187	0.02884669776284184
0.0ms	-0.11640292873370604	-0.10460971931996338

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.004879194000020187	0.02884669776284184
0.0ms	-0.06786993594853047	-0.03478475411362368

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0845757699970512	0.09726556539975754
0.0ms	-0.06786993594853047	-0.03478475411362368

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0845757699970512	0.09726556539975754
0.0ms	-0.06786993594853047	-0.03478475411362368

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.829836736556625e-36	4.263943905613054e-29
0.0ms	-0.10460971931996338	-0.09181807364930573

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.295507240421691e-28	1.4487009898542172e-27
0.0ms	-0.10460971931996338	-0.09181807364930573

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.829836736556625e-36	4.263943905613054e-29
0.0ms	-0.06786993594853047	-0.03478475411362368

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.295507240421691e-28	1.4487009898542172e-27
0.0ms	-0.06786993594853047	-0.03478475411362368

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.525974549478484e-60	3.1858909805567377e-58

Results

17.0ms

112×

valid

Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions

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

ival-sin: 7.0ms (58.5% of total)

ival-pow: 2.0ms (16.7% of total)

ival-div: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

ival-mult: 1.0ms (8.4% of total)

ival-sqrt: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.525974549478484e-60	3.1858909805567377e-58

Results

16.0ms

112×

valid

Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions

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

ival-sin: 6.0ms (53.7% of total)

ival-pow: 2.0ms (17.9% of total)

ival-div: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

ival-sqrt: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8775305743956357e-254	3.664411392408624e-254

Results

9.0ms

64×

valid

Compiler

Compiled 93 to 70 computations (24.7% saved)

Precisions

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

ival-sin: 3.0ms (45.4% of total)

ival-pow: 1.0ms (15.1% 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)

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	7.821207035729286e-71	3.654191832601832e-69

Results

16.0ms

112×

valid

Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions

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

ival-sin: 6.0ms (52.8% of total)

ival-pow: 2.0ms (17.6% of total)

ival-div: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-mult: 1.0ms (8.8% of total)

ival-sqrt: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
10×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
2×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	396
1	133	391
2	138	391
3	141	391
4	144	391
5	145	391

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 1438846037749345/18446744073709551616 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 8854437155380585/590295810358705651712 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3242591731706757/36028797018963968 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 3242591731706757/36028797018963968 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 1764020109474739/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6875155298465649/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8188565232602811/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) (sin.f64 th))
(if (<=.f64 ky #s(literal 4196164807207575/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 1438846037749345/18446744073709551616 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 8854437155380585/590295810358705651712 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 3242591731706757/36028797018963968 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 3242591731706757/36028797018963968 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 6 binary64) (.f64 ky ky))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 3242591731706757/36028797018963968 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 6 binary64) (.f64 ky ky))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 6 binary64) (.f64 ky ky))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 6 binary64) (.f64 ky ky))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1 binary64) (.f64 ky ky)) #s(literal 6 binary64))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 6 binary64) (.f64 ky ky))) (.f64 ky ky)) (if (<=.f64 (sin.f64 ky) #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 1764020109474739/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6875155298465649/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8188565232602811/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) (sin.f64 th))
(if (<=.f64 ky #s(literal 4196164807207575/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
th

soundness2.4s (17.8%)

Rules

9276×	`-lowering-.f32`
9276×	`-lowering-.f64`
6428×	`-lowering-.f32`
6428×	`-lowering-.f64`
5858×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	806	11431
1	2874	9240
0	8150	9240
0	19	60
1	77	60
2	279	60
3	1266	60
4	6768	60
0	8299	60
0	13	16
1	19	11
2	29	11
3	30	11
0	30	11
0	672	7799
1	2396	6370
0	9559	6370
0	33	128
1	156	124
2	733	120
3	4038	120
0	8269	120
0	870	7615
1	3019	6491
2	7923	6479
0	8740	6479
0	405	4436
1	1414	3702
2	5828	3693
0	8105	3693

Stop Event

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

Compiler

Compiled 1862 to 1089 computations (41.5% saved)

preprocess119.0ms (0.9%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 994 to 336 computations (66.2% saved)

analyze296.0ms (2.2%)

sample1.8s (13.1%)

preprocess132.0ms (1%)

explain224.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize113.0ms (0.8%)

series37.0ms (0.3%)

rewrite306.0ms (2.2%)

simplify378.0ms (2.8%)

eval115.0ms (0.8%)

prune110.0ms (0.8%)

simplify180.0ms (1.3%)

localize237.0ms (1.7%)

series45.0ms (0.3%)

rewrite343.0ms (2.5%)

simplify408.0ms (3%)

eval209.0ms (1.5%)

prune208.0ms (1.5%)

simplify199.0ms (1.5%)

localize286.0ms (2.1%)

series74.0ms (0.5%)

rewrite337.0ms (2.5%)

simplify566.0ms (4.1%)

eval239.0ms (1.7%)

prune537.0ms (3.9%)

simplify283.0ms (2.1%)

localize348.0ms (2.5%)

series66.0ms (0.5%)

rewrite286.0ms (2.1%)

simplify433.0ms (3.2%)

eval238.0ms (1.7%)

prune241.0ms (1.8%)

regimes377.0ms (2.7%)

regimes305.0ms (2.2%)

regimes267.0ms (1.9%)

regimes42.0ms (0.3%)

regimes201.0ms (1.5%)

regimes51.0ms (0.4%)

regimes34.0ms (0.2%)

regimes34.0ms (0.2%)

regimes141.0ms (1%)

regimes29.0ms (0.2%)

regimes51.0ms (0.4%)

regimes18.0ms (0.1%)

regimes69.0ms (0.5%)

regimes7.0ms (0.1%)

regimes52.0ms (0.4%)

regimes19.0ms (0.1%)

regimes4.0ms (0%)

bsearch28.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch43.0ms (0.3%)

simplify15.0ms (0.1%)

soundness2.4s (17.8%)

preprocess119.0ms (0.9%)

end0.0ms (0%)

Profiling