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

analyze244.0ms (1.9%)

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: 131.0ms

ival-sin: 41.0ms (31.3% of total)

ival-pow: 40.0ms (30.6% of total)

ival-mult: 22.0ms (16.8% of total)

ival-sqrt: 12.0ms (9.2% 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)

sample1.7s (12.9%)

Results

1.4s

8256×

valid

Precisions

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

ival-sin: 641.0ms (58.9% of total)

ival-pow: 191.0ms (17.6% of total)

ival-sqrt: 69.0ms (6.3% of total)

ival-div: 66.0ms (6.1% of total)

ival-mult: 61.0ms (5.6% of total)

ival-add: 44.0ms (4% of total)

const: 13.0ms (1.2% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess132.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	104	113
2	232	113
3	420	113
4	1025	113
5	2827	113
6	4704	113
7	6184	113
8	7067	113
9	7216	113
10	7327	113
11	7359	113
12	7359	113
0	13	16
1	19	11
2	27	11
3	28	11
0	28	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain173.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
17	0	-	2	(1.3798456289694334e-156 1.0733872674223539e-244 7.908283930215176e-249)	`(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	55	(4.649734237602925e-29 2.6636416108628498e-61 4.37037257516751e+304)	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	61	(4.649734237602925e-29 2.6636416108628498e-61 4.37037257516751e+304)	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Results

114.0ms

512×

valid

Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-sin: 47.0ms (62.4% of total)

ival-pow: 11.0ms (14.6% of total)

ival-mult: 5.0ms (6.6% of total)

ival-div: 4.0ms (5.3% of total)

ival-sqrt: 4.0ms (5.3% of total)

ival-add: 3.0ms (4% of total)

const: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Status

Accuracy

Program

▶

93.7%

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

▶

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)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
6×	`*-commutative`
6×	`sin-lowering-sin.f64`
6×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	29	84
2	33	84
0	33	84

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

localize121.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	94.0%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

Results

96.0ms

256×

valid

Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-pow: 34.0ms (42.9% of total)

ival-sin: 20.0ms (25.2% of total)

compiled-spec: 8.0ms (10.1% of total)

ival-mult: 7.0ms (8.8% of total)

ival-sqrt: 4.0ms (5% of total)

ival-div: 3.0ms (3.8% of total)

ival-add: 2.0ms (2.5% 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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (sin kx)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin kx) 2)>

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

Calls

60 calls:

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

rewrite201.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	101	62
2	758	62
0	9823	62

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 284

Calls

Call 1

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

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

simplify274.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	405	4445
1	1412	4111
2	5844	4111
0	8117	4111

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval76.0ms (0.6%)

Compiler: Compiled 14023 to 1585 computations (88.7% saved)

prune87.0ms (0.7%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	622	20	642
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	622	22	644

Accuracy

100.0%

Counts

644 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	74.3%	(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
✓	93.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	31.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	27.6%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	24.5%	(.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))
	90.2%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
	22.1%	(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (sin.f64 th))
	40.1%	(.f64 (sqrt.f64 (/.f64 #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)))
	46.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	46.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	58.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	59.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
▶	50.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
▶	32.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	31.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	47.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	93.0%	(.f64 (sin.f64 ky) (.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)))))))
	71.2%	(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	32.8%	(sin.f64 th)

Compiler

Compiled 677 to 466 computations (31.2% saved)

simplify244.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
✓	cost-diff	0	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	13056	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))

Rules

2890×	`-lowering-.f32`
2890×	`-lowering-.f64`
2332×	`fma-define`
1830×	`fma-lowering-fma.f32`
1830×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	202
1	77	191
2	162	185
3	415	185
4	1003	185
5	2199	185
6	3744	185
7	4976	185
8	5627	185
9	6025	185
10	6098	185
11	6459	185
12	7016	185
13	7288	185
14	7418	185
15	7941	185
0	8030	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize181.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.7%	(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
✓	accuracy	99.2%	(.f64 #s(literal 1/120 binary64) (.f64 th th))
✓	accuracy	98.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (sin.f64 ky))
✓	accuracy	99.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))

Results

133.0ms

256×

valid

Compiler

Compiled 212 to 28 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 26.0ms (27% of total)

compiled-spec: 23.0ms (23.9% of total)

ival-sin: 18.0ms (18.7% of total)

ival-add: 8.0ms (8.3% of total)

ival-div: 7.0ms (7.3% of total)

...c/correct-round.rkt:119:19: 7.0ms (7.3% of total)

ival-sqrt: 6.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

series48.0ms (0.4%)

Counts

15 → 348

Calls

Call 1

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

Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (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)>
#<alt (sin th)>
#<alt (sin th)>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ th (sin ky))>
#<alt (* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))>
#<alt (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))>
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) ky)>
#<alt (/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)>
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)>
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (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))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)>
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
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#<alt (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (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) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* 1/120 (pow th 5))>
#<alt (* (pow th 5) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* 1/120 (pow th 5))>
#<alt (* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>
#<alt (* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))>
#<alt (* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* -1/6 th)>
#<alt (* th (- (* 1/120 (pow th 2)) 1/6))>
#<alt (* th (- (* 1/120 (pow th 2)) 1/6))>
#<alt (* th (- (* 1/120 (pow th 2)) 1/6))>
#<alt (* 1/120 (pow th 3))>
#<alt (* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* 1/120 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>
#<alt (* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>
#<alt (* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>

Calls

87 calls:

Time	Variable		Point	Expression
7.0ms	ky	@	-inf	(* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
4.0ms	ky	@	-inf	(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
2.0ms	ky	@	0	(* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
1.0ms	ky	@	inf	(* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
1.0ms	kx	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))

rewrite343.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4456×	`-lowering-.f32`
4456×	`-lowering-.f64`
3864×	`/-lowering-/.f32`
3864×	`/-lowering-/.f64`
1918×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	134
1	192	127
2	1518	117
0	8417	117

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 359

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (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))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))) (.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) th)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))) th)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(sin.f64 kx)
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(.f64 th (.f64 th #s(literal 1/120 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(.f64 (.f64 th #s(literal 1/120 binary64)) th)
(+.f64 (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th))) (.f64 th #s(literal -1/6 binary64)))
(+.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th))))
(fma.f64 th #s(literal -1/6 binary64) (.f64 th (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(fma.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th)) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) th (.f64 th (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(fma.f64 #s(literal 1/120 binary64) (.f64 th (.f64 th th)) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 (.f64 th th) (.f64 th #s(literal 1/120 binary64)) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) th (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 (.f64 th #s(literal 1/120 binary64)) (.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 (.f64 th (.f64 th th)) #s(literal 1/120 binary64) (*.f64 th #s(literal -1/6 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal 1/1728000 binary64))) (.f64 th (.f64 th th)))) (+.f64 (.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th)))) (.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
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(/.f64 (.f64 th (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 th (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 th th))))
(/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal 1/1728000 binary64)))) th) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/14400 binary64))) th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 th th))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal 1/1728000 binary64))) (.f64 th (.f64 th th))))) (neg.f64 (+.f64 (.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th)))) (.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th #s(literal -1/6 binary64))) (.f64 (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (neg.f64 (-.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th (.f64 #s(literal 1/120 binary64) (.f64 th th))))))
(/.f64 (neg.f64 (.f64 th (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal 1/1728000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 th (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/14400 binary64))))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 th th)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal 1/1728000 binary64)))) th)) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/14400 binary64))) th)) (neg.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 th th)))))
(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))) th)

simplify405.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6788×	`-lowering-.f32`
6788×	`-lowering-.f64`
5590×	`+-lowering-+.f64`
5590×	`+-lowering-+.f32`
1412×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	758	7778
1	2744	7391
2	7629	7387
0	8315	7387

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ th (sin ky))
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (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) (sin ky))
(/ (sin th) ky)
(/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) 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) (sin ky))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (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))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ (* (sin ky) (sin th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 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))) (* 3/8 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 5))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -5/16 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 7))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))) (/ (sin th) (sin kx)))
(/ (sin th) ky)
(/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky)
(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky)
(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky)
(* -1 (/ (sin th) ky))
(* -1 (/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky))
(/ (sin th) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 3))) (/ (sin th) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin th) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin th) ky))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 5) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (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))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* 1/120 (* (pow th 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 5) (+ (* -1/6 (* (/ 1 (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)))))))
(* (pow th 5) (+ (* -1/6 (* (/ 1 (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))))) (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ 1 (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))))) (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* 1/120 (* (pow th 5) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 5) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (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) (- (* 1/120 (pow th 2)) 1/6))))
(* 1/120 (pow th 5))
(* (pow th 5) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
(* 1/120 (pow th 5))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* -1/6 th)
(* th (- (* 1/120 (pow th 2)) 1/6))
(* th (- (* 1/120 (pow th 2)) 1/6))
(* th (- (* 1/120 (pow th 2)) 1/6))
(* 1/120 (pow th 3))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* 1/120 (pow th 3))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))

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 (.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 (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 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (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 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (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 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) #s(literal 1/120 binary64))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx kx) (sin.f64 ky)))))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (.f64 #s(literal 1/2 binary64) (.f64 ky (/.f64 ky (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 ky (/.f64 ky (sin.f64 kx))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (.f64 #s(literal 1/2 binary64) (.f64 (+.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)))) (*.f64 ky (/.f64 ky (sin.f64 kx))))))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th th))))))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(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)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th th))))))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(/ th (sin ky))
(/.f64 th (sin.f64 ky))
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 #s(literal -1/6 binary64) (*.f64 th (/.f64 th (sin.f64 ky))))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (*.f64 th (/.f64 th (sin.f64 ky))))))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 th th)) (sin.f64 ky)) (/.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky))))))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) ky)
(/.f64 (sin.f64 th) ky)
(/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/.f64 (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 th) #s(literal 7/360 binary64))) (.f64 (sin.f64 th) #s(literal 1/6 binary64))))) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/.f64 (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 th) #s(literal -7/360 binary64))) (.f64 (sin.f64 th) #s(literal 1/840 binary64))) (.f64 #s(literal -1 binary64) (.f64 ky ky))) (.f64 (sin.f64 th) #s(literal 7/360 binary64)))) (.f64 (sin.f64 th) #s(literal 1/6 binary64))))) ky)
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (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))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (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 (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 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 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))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -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 (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 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))) (+.f64 (/.f64 (.f64 #s(literal -5/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))))))))))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky)))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 ky #s(literal 6 binary64)))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (+.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))))) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 ky ky)))))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* th (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
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(/ (sin th) ky)
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(/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky)
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(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky)
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(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky)
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(* -1 (/ (sin th) ky))
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(* -1 (/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky))
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(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky))
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(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky))
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(/ (sin th) ky)
(/.f64 (sin.f64 th) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 3))) (/ (sin th) ky))
(+.f64 (/.f64 (sin.f64 th) ky) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (.f64 kx kx)) (.f64 ky (*.f64 ky ky)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin th) ky))
(+.f64 (/.f64 (sin.f64 th) ky) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky (.f64 ky ky))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) ky) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin th) ky))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sin kx))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(.f64 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(.f64 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx)))) (.f64 #s(literal 1/12 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))))
(.f64 ky (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx)))) (+.f64 (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (.f64 (.f64 #s(literal -1/12 binary64) th) (.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal -1/240 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 #s(literal -1/5040 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))) (/.f64 th (sin.f64 kx))))))))))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 th th)))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin kx))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))) (/.f64 th (sin.f64 ky)))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (sqrt.f64 (/.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 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(* 1/120 (pow th 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 5 binary64)))
(* (pow th 5) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))))
(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 4 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 th th))))
(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 4 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 th th))))
(* 1/120 (pow th 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 5 binary64)))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 th th))) (*.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 5 binary64))))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 th th)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 5 binary64))))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 th th)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (pow.f64 th #s(literal 5 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 #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)
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* 1/120 (pow th 2))
(.f64 #s(literal 1/120 binary64) (.f64 th th))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* th (- (* 1/120 (pow th 2)) 1/6))
(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(* th (- (* 1/120 (pow th 2)) 1/6))
(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(* th (- (* 1/120 (pow th 2)) 1/6))
(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(* 1/120 (pow th 3))
(.f64 #s(literal 1/120 binary64) (.f64 th (*.f64 th th)))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 th th)))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 th th)))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 th th)))
(* 1/120 (pow th 3))
(.f64 #s(literal 1/120 binary64) (.f64 th (*.f64 th th)))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 th th))) (neg.f64 (.f64 th (.f64 th th))))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 th th))) (neg.f64 (.f64 th (.f64 th th))))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 th th))) (neg.f64 (.f64 th (.f64 th th))))

eval121.0ms (0.9%)

Compiler: Compiled 24309 to 2092 computations (91.4% saved)

prune194.0ms (1.5%)

Pruning

53 alts after pruning (50 fresh and 3 done)

	Pruned	Kept	Total
New	825	41	866
Fresh	6	9	15
Picked	3	2	5
Done	1	1	2
Total	835	53	888

Accuracy

100.0%

Counts

888 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
	12.3%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
	94.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	45.6%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
	35.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	25.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	50.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	46.8%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
	32.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	94.2%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	45.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	10.1%	(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
	74.3%	(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	58.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	47.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	50.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	59.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
	78.6%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))))) (sin.f64 th))
	74.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (sin.f64 th))
▶	31.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	27.6%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	24.5%	(.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))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))) (sin.f64 th))
	35.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	41.8%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	46.7%	(.f64 (.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky))
	48.6%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	50.5%	(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
	17.7%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
	46.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	29.4%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
	24.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	31.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	18.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	47.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	25.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
	16.1%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	32.6%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	46.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))) #s(literal -1 binary64))))
	50.5%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
	32.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	15.8%	(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
	93.0%	(.f64 (sin.f64 ky) (.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)))))))
	20.7%	(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
	15.5%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	62.5%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	18.0%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	32.8%	(sin.f64 th)
▶	16.2%	th

Compiler

Compiled 1787 to 1202 computations (32.7% saved)

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2574×	`sum3-define`
2336×	`sum4-define`
2200×	`-lowering-.f32`
2200×	`-lowering-.f64`
1882×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	252
1	98	236
2	262	222
3	784	222
4	2406	222
5	4136	222
6	6681	222
0	8051	222

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

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

localize241.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
✓	accuracy	99.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)))
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
✓	accuracy	99.7%	(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
✓	accuracy	99.2%	(.f64 #s(literal 1/120 binary64) (.f64 th th))
✓	accuracy	98.4%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx))
✓	accuracy	98.0%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Results

185.0ms

256×

valid

Compiler

Compiled 256 to 32 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 62.0ms (45.3% of total)

compiled-spec: 25.0ms (18.2% of total)

ival-sin: 21.0ms (15.3% of total)

ival-div: 8.0ms (5.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (5.8% of total)

ival-add: 7.0ms (5.1% of total)

ival-sqrt: 6.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

series98.0ms (0.7%)

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 kx)) (sin th))>
#<alt (/ (sin ky) (sin kx))>
#<alt (sin ky)>
#<alt (sin kx)>
#<alt (* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))>
#<alt (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))>
#<alt (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th)))))))>
#<alt (* (/ (sin ky) (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky)))))>
#<alt (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))>
#<alt (* 1/120 (* th th))>
#<alt (* th (+ -1/6 (* 1/120 (* th th))))>
#<alt (* -1/6 (* kx kx))>
#<alt (* kx (+ 1 (* -1/6 (* 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 (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt 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 kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))>
#<alt (+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 4))))))>
#<alt (+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 6))) (* 3/8 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 4))))))))>
#<alt (/ (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))))) kx)>
#<alt (* -1 (/ (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))))) kx))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* 1/120 (* (pow th 5) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* (pow th 5) (+ (* -1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))>
#<alt (* 1/120 (* (pow th 5) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* -1 (* (pow th 5) (+ (* -1 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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)))))))))) (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))>
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#<alt (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 5))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 7))) (* 3/8 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 5))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))>
#<alt (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)>
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#<alt (/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx)>
#<alt (* -1 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))>
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#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
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#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
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#<alt (* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* 1/120 (pow th 5))>
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#<alt (* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))>
#<alt (* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))>
#<alt (/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (/ ky (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))) (* 1/12 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))) (* -1/12 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* 1/5040 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/240 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))))))) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 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))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* 6 (/ (sin ky) (pow kx 3)))>
#<alt (/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow kx 2)))) (pow kx 3))>
#<alt (/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4))))) (pow kx 3))>
#<alt (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4)))))) (pow kx 3))>
#<alt (* -6 (/ (sin ky) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow kx 2)))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4))))) (pow kx 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4)))))) (pow kx 3)))>
#<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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (* 1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))>
#<alt (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))>
#<alt (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* 1/120 (pow th 2))>
#<alt (* -1/6 th)>
#<alt (* th (- (* 1/120 (pow th 2)) 1/6))>
#<alt (* th (- (* 1/120 (pow th 2)) 1/6))>
#<alt (* th (- (* 1/120 (pow th 2)) 1/6))>
#<alt (* 1/120 (pow th 3))>
#<alt (* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))>
#<alt (* 1/120 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>
#<alt (* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>
#<alt (* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt (* -1/6 (pow kx 2))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))>
#<alt (* -1/6 (pow kx 3))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))>

Calls

99 calls:

Time	Variable		Point	Expression
28.0ms	kx	@	inf	(* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
16.0ms	kx	@	inf	(sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))
4.0ms	ky	@	0	(* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
4.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))) (sin th))
2.0ms	ky	@	inf	(* (/ (sin ky) (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))) (sin th))

rewrite331.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
2226×	`/-lowering-/.f32`
2226×	`/-lowering-/.f64`
2070×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	174
1	230	163
2	1982	149
0	8522	149

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 324

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 kx)) (sin th))
(/ (sin ky) (sin kx))
(sin ky)
(sin kx)
(* (sin ky) (/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
(/ (* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th))))))) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
(* th (+ 1 (* th (* th (+ -1/6 (* 1/120 (* th th)))))))
(* (/ (sin ky) (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky)))))
(sqrt (+ (* (* kx (+ 1 (* -1/6 (* kx kx)))) (* kx (+ 1 (* -1/6 (* kx kx))))) (* (sin ky) (sin ky))))
(* 1/120 (* th th))
(* th (+ -1/6 (* 1/120 (* th th))))
(* -1/6 (* kx kx))
(* kx (+ 1 (* -1/6 (* 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)))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(sin.f64 th)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (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)) (sin.f64 ky)))
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (sin.f64 kx)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th))) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx))))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
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(.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))) th)
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(+.f64 kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(+.f64 (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) kx)
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(fma.f64 kx #s(literal 1 binary64) (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(fma.f64 kx (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) kx)
(fma.f64 #s(literal 1 binary64) kx (.f64 kx (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(fma.f64 #s(literal -1/6 binary64) (.f64 kx (.f64 kx kx)) kx)
(fma.f64 (.f64 kx kx) (.f64 kx #s(literal -1/6 binary64)) kx)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 kx kx)) kx kx)
(fma.f64 (.f64 kx #s(literal -1/6 binary64)) (.f64 kx kx) kx)
(fma.f64 (.f64 kx (.f64 kx kx)) #s(literal -1/6 binary64) kx)
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) kx)
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) #s(literal 1 binary64)) kx)

simplify402.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6742×	`-lowering-.f32`
6742×	`-lowering-.f64`
5780×	`+-lowering-+.f64`
5780×	`+-lowering-+.f32`
1672×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	970	9772
1	3460	9297
0	8193	9297

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)))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ ky (sin kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
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)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 5) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 4))))))
(+ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 6))) (* 3/8 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 4))))))))
(/ (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx)
(/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))))) kx)
(* -1 (/ (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 3) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))))) kx))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* 1/120 (* (pow th 5) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* (pow th 5) (+ (* -1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* (pow th 5) (+ (* -1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* (pow th 5) (+ (* -1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(* 1/120 (* (pow th 5) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 5) (+ (* -1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* -1 (* (pow th 5) (+ (* -1 (* (/ 1 (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* -1/120 (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -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)))))))))) (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* 3/8 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 5))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow (sin ky) 7))) (* 3/8 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow (sin ky) 5))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (sin ky)))
(/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)
(/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx)
(/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx)
(/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx)
(* -1 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 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 (/ (* th (* (pow (sin ky) 2) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (pow kx 2))) (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))) kx))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* 1/120 (pow th 5))
(* (pow th 5) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
(* 1/120 (pow th 5))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
(/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(/ ky (* kx (+ 1 (* -1/6 (pow kx 2)))))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))) (* 1/12 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))) (* -1/12 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* 1/5040 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/240 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))))))) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
1
(+ 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))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* 6 (/ (sin ky) (pow kx 3)))
(/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow kx 2)))) (pow kx 3))
(/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4))))) (pow kx 3))
(/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4)))))) (pow kx 3))
(* -6 (/ (sin ky) (pow kx 3)))
(* -1 (/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow kx 2)))) (pow kx 3)))
(* -1 (/ (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4))))) (pow kx 3)))
(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4)))))) (pow kx 3)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(* 1/6 (pow kx 3))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))
(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* 1/120 (pow th 2))
(* -1/6 th)
(* th (- (* 1/120 (pow th 2)) 1/6))
(* th (- (* 1/120 (pow th 2)) 1/6))
(* th (- (* 1/120 (pow th 2)) 1/6))
(* 1/120 (pow th 3))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(* 1/120 (pow th 3))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
(* -1/6 (pow kx 2))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* -1/6 (pow kx 3))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(* -1/6 (pow kx 3))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))

Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (.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 (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 (.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.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 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
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(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
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(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) (sin.f64 kx)) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)) (sin.f64 kx)) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (sin.f64 ky) #s(literal 7/360 binary64))) (.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 (sin.f64 ky) #s(literal 1/840 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 ky) #s(literal -7/360 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (sin.f64 ky) #s(literal 7/360 binary64)))) (.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx)
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(/ (* ky (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) kx)
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (.f64 (.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.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 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* -1/6 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)) (+ (* 1/12 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (+ (* 1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))))) (+ (* -1/12 (* kx (* th (* (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) (pow kx 3))) (* -1/5040 (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx))))))))))))) (/ (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) kx)))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (.f64 (.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (.f64 kx kx)) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))))))) (+.f64 (+.f64 (.f64 (.f64 #s(literal -1/12 binary64) kx) (.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))) (/.f64 (.f64 #s(literal -1/240 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx)))) (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* th (* (sin ky) (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #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))))))
(* (* 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 -1/6 binary64) (.f64 (sin.f64 ky) (.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 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 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 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (*.f64 th th))))))))
(* 1/120 (* (* (pow th 5) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
(.f64 (pow.f64 th #s(literal 5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (.f64 th th))) (.f64 (sin.f64 ky) #s(literal 1/120 binary64)))))
(* (pow th 5) (+ (* -1/6 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 4)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))
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th
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(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
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(* 1/120 (pow th 5))
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(* (pow th 5) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
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(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
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(* (pow th 5) (- (+ 1/120 (/ 1 (pow th 4))) (* 1/6 (/ 1 (pow th 2)))))
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(* 1/120 (pow th 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 5 binary64)))
(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
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(* -1 (* (pow th 5) (- (* 1/6 (/ 1 (pow th 2))) (+ 1/120 (/ 1 (pow th 4))))))
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(/ (* ky (sin th)) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* -1/6 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8)))))))))) (+ (* -1/12 (* kx (* (sin th) (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* -1/240 (/ (sin th) (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (* -1/5040 (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2))))))))))))))))) (/ (sin th) (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(sin th)
(sin.f64 th)
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 1/36 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
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(* 6 (/ (* (sin ky) (sin th)) (pow kx 3)))
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(/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3))
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(/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3))
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(/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3))
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(* -6 (/ (* (sin ky) (sin th)) (pow kx 3)))
(.f64 (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx (.f64 kx kx))) #s(literal -6 binary64))
(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (* 36 (/ (* (sin ky) (sin th)) (pow kx 2)))) (pow kx 3)))
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(* -1 (/ (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4))))) (pow kx 3)))
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(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (* (sin th) (- 15552 (* 1296 (pow (sin ky) 2))))) (pow kx 6))) (+ (* 6 (* (sin ky) (sin th))) (+ (* 36 (/ (* (sin ky) (sin th)) (pow kx 2))) (* 216 (/ (* (sin ky) (sin th)) (pow kx 4)))))) (pow kx 3)))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(/ ky (* kx (+ 1 (* -1/6 (pow kx 2)))))
(/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))) (* 1/12 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (+ (* 1/12 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3)))) (+ (* 1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6)))) (/ 1 (* (pow kx 8) (pow (+ 1 (* -1/6 (pow kx 2))) 8))))))))) (* -1/12 (* kx (* (+ 1 (* -1/6 (pow kx 2))) (+ (* 1/3 (/ 1 (* (pow kx 4) (pow (+ 1 (* -1/6 (pow kx 2))) 4)))) (* 3/4 (/ 1 (* (pow kx 6) (pow (+ 1 (* -1/6 (pow kx 2))) 6))))))))) (+ (* 1/5040 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/240 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))))))) (+ (* 1/6 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* (pow kx 3) (pow (+ 1 (* -1/6 (pow kx 2))) 3))))))) (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))))
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1
#s(literal 1 binary64)
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(* 6 (/ (sin ky) (pow kx 3)))
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(/ (+ (* 6 (sin ky)) (* 36 (/ (sin ky) (pow kx 2)))) (pow kx 3))
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(/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4)))))) (pow kx 3))
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(* -6 (/ (sin ky) (pow kx 3)))
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(* -1 (/ (+ (* 1/12 (/ (* (sin ky) (- 15552 (* 1296 (pow (sin ky) 2)))) (pow kx 6))) (+ (* 6 (sin ky)) (+ (* 36 (/ (sin ky) (pow kx 2))) (* 216 (/ (sin ky) (pow kx 4)))))) (pow kx 3)))
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(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
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(* 1/6 (pow kx 3))
(.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx))))
(* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2))))
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(* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2))))
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(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
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(* -1 (* (pow kx 3) (- (+ 1/6 (* 3 (/ (pow (sin ky) 2) (pow kx 6)))) (/ 1 (pow kx 2)))))
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(* -1 (* (pow kx 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin ky) 2) (pow kx 6))) (* 18 (/ (pow (sin ky) 2) (pow kx 8))))) (/ 1 (pow kx 2)))))
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(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(+ (* 1/2 (/ (pow ky 2) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))
(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))))
(+ (* kx (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2))))) (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)))))) (* kx (+ 1 (* -1/6 (pow kx 2)))))))) (* 1/2 (/ 1 (* kx (+ 1 (* -1/6 (pow kx 2)))))))))
(+.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(sqrt (+ (* (pow kx 2) (pow (+ 1 (* -1/6 (pow kx 2))) 2)) (pow (sin ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* 1/120 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/120 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* th (- (* 1/120 (pow th 2)) 1/6))
(.f64 th (+.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* th (- (* 1/120 (pow th 2)) 1/6))
(.f64 th (+.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* th (- (* 1/120 (pow th 2)) 1/6))
(.f64 th (+.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/120 (pow th 3))
(.f64 #s(literal 1/120 binary64) (.f64 th (*.f64 th th)))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 th th)))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 th th)))
(* (pow th 3) (- 1/120 (* 1/6 (/ 1 (pow th 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 th th)))
(* 1/120 (pow th 3))
(.f64 #s(literal 1/120 binary64) (.f64 th (*.f64 th th)))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 th th)) #s(literal -1/120 binary64)) (neg.f64 (.f64 th (.f64 th th))))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 th th)) #s(literal -1/120 binary64)) (neg.f64 (.f64 th (.f64 th th))))
(* -1 (* (pow th 3) (- (* 1/6 (/ 1 (pow th 2))) 1/120)))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 th th)) #s(literal -1/120 binary64)) (neg.f64 (.f64 th (.f64 th th))))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
(* -1/6 (pow kx 2))
(.f64 #s(literal -1/6 binary64) (.f64 kx kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))
(.f64 (.f64 kx (.f64 kx kx)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal -1/6 binary64)))
(* -1/6 (pow kx 3))
(.f64 #s(literal -1/6 binary64) (.f64 kx (*.f64 kx kx)))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx)))))
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))
(.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 kx kx)))))

eval166.0ms (1.3%)

Compiler: Compiled 23483 to 2366 computations (89.9% saved)

prune150.0ms (1.1%)

Pruning

73 alts after pruning (66 fresh and 7 done)

	Pruned	Kept	Total
New	816	35	851
Fresh	14	31	45
Picked	1	4	5
Done	0	3	3
Total	831	73	904

Accuracy

100.0%

Counts

904 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.3%	(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	10.6%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
	16.8%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	10.9%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
	12.3%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
	94.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	35.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	9.3%	(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
	11.4%	(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
	14.1%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	25.5%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	59.1%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	74.1%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
	31.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
▶	27.6%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	99.6%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	99.5%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	50.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	46.8%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
	32.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
▶	47.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (sin.f64 th) (sin.f64 ky))))
	28.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	21.3%	(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
	17.8%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
	32.8%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
	27.0%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
	29.4%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
✓	58.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
	29.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	47.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
	50.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	78.6%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))))) (sin.f64 th))
	16.8%	(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
✓	31.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	16.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	22.5%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	94.1%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)))
▶	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	31.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	35.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	46.7%	(.f64 (.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky))
	15.5%	(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
	48.6%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	17.7%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
	13.5%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
	46.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	19.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
	24.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	31.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	18.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	22.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	47.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	30.0%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
	25.1%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
	16.1%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	32.6%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	46.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))) #s(literal -1 binary64))))
	32.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	31.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	15.8%	(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
	93.0%	(.f64 (sin.f64 ky) (.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)))))))
	20.7%	(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
▶	15.5%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	62.5%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	18.0%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
	9.4%	(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
✓	32.8%	(sin.f64 th)
✓	16.2%	th

Compiler

Compiled 2599 to 1672 computations (35.7% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

244×	`-lowering-.f32`
244×	`-lowering-.f64`
92×	`associate-r`
78×	`associate-l`
68×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	143
1	59	140
2	106	137
3	193	137
4	251	137
5	284	137
6	284	137
7	285	137
0	285	137

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize171.0ms (1.3%)

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	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓	accuracy	100.0%	(hypot.f64 (sin.f64 ky) kx)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(/.f64 th (hypot.f64 (sin.f64 ky) kx))
✓	accuracy	93.5%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.8%	(/.f64 (sin.f64 kx) ky)
✓	accuracy	96.0%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) 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	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 th th))
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Results

135.0ms

256×

valid

Compiler

Compiled 149 to 23 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-sin: 54.0ms (47.4% of total)

ival-mult: 19.0ms (16.7% of total)

compiled-spec: 18.0ms (15.8% of total)

ival-div: 10.0ms (8.8% of total)

ival-add: 4.0ms (3.5% of total)

ival-sqrt: 4.0ms (3.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

series32.0ms (0.2%)

Counts

17 → 384

Calls

Call 1

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

Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin kx) 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 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 (/ (* ky th) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ kx ky)>
#<alt (* kx (+ (* -1/6 (/ (pow kx 2) ky)) (/ 1 ky)))>
#<alt (* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) ky)) (* 1/6 (/ 1 ky)))) (/ 1 ky)))>
#<alt (* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) ky)) (* 1/120 (/ 1 ky)))) (* 1/6 (/ 1 ky)))) (/ 1 ky)))>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (/ (* ky th) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* -1/6 (/ th kx)))) (/ th kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (+ (* -1/6 (/ th kx)) (* (pow ky 2) (+ (* 1/120 (/ th kx)) (+ (* 1/12 (/ th (pow kx 3))) (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ th kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (+ (* -1/6 (/ th kx)) (* (pow ky 2) (+ (* 1/120 (/ th kx)) (+ (* 1/12 (/ th (pow kx 3))) (+ (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* 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 (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ th (pow kx 3))) (* -1/5040 (/ th kx))))))))))))) (/ th kx)))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) th) (pow (sin ky) 4))))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) th) (pow (sin ky) 6))) (* 3/8 (/ th (pow (sin ky) 4))))))))>
#<alt (/ (* th (sin ky)) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))))) kx)>
#<alt (* -1 (/ (* th (sin ky)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))))) kx))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ th kx)>
#<alt (+ (* -1/2 (/ (* (pow ky 2) th) (pow kx 3))) (/ th kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))) (/ th kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* 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))))))))) (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ th kx))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) th) (pow (sin ky) 5))))) (/ th (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) th) (pow (sin ky) 7))) (* 3/8 (/ th (pow (sin ky) 5))))))) (/ th (sin ky)))>
#<alt (/ th kx)>
#<alt (/ (+ th (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2)))) kx)>
#<alt (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2))))) kx)>
#<alt (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* 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 (/ (* th (pow (sin ky) 2)) (pow kx 2)))))) kx)>
#<alt (* -1 (/ th kx))>
#<alt (* -1 (/ (+ th (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* 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 (/ (* th (pow (sin ky) 2)) (pow kx 2)))))) kx))>
#<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))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>

Calls

96 calls:

Time	Variable		Point	Expression
5.0ms	ky	@	0	(/ th (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
1.0ms	ky	@	0	(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
1.0ms	th	@	0	(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
1.0ms	ky	@	0	(/ (sin th) (/ (sin kx) ky))
1.0ms	kx	@	inf	(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))

rewrite334.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4026×	`-lowering-.f32`
4026×	`-lowering-.f64`
3954×	`/-lowering-/.f32`
3954×	`/-lowering-/.f64`
1566×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	162	100
2	1216	98
0	8373	98

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 440

Calls

Call 1

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

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

simplify687.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

7384×	`-lowering-.f32`
7384×	`-lowering-.f64`
5286×	`+-lowering-+.f64`
5286×	`+-lowering-+.f32`
1936×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	6098
1	2634	5702
0	8787	5702

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)))))
(/ (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)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ (* ky th) (sin kx))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ kx ky)
(* kx (+ (* -1/6 (/ (pow kx 2) ky)) (/ 1 ky)))
(* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) ky)) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) ky)) (* 1/120 (/ 1 ky)))) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
(/ (sin kx) ky)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (* ky th) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* -1/6 (/ th kx)))) (/ th kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (+ (* -1/6 (/ th kx)) (* (pow ky 2) (+ (* 1/120 (/ th kx)) (+ (* 1/12 (/ th (pow kx 3))) (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ th kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (+ (* -1/6 (/ th kx)) (* (pow ky 2) (+ (* 1/120 (/ th kx)) (+ (* 1/12 (/ th (pow kx 3))) (+ (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* 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 (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ th (pow kx 3))) (* -1/5040 (/ th kx))))))))))))) (/ th kx)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) th) (pow (sin ky) 4))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) th) (pow (sin ky) 6))) (* 3/8 (/ th (pow (sin ky) 4))))))))
(/ (* th (sin ky)) kx)
(/ (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky)))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))))) kx)
(* -1 (/ (* th (sin ky)) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))))) kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ th kx)
(+ (* -1/2 (/ (* (pow ky 2) th) (pow kx 3))) (/ th kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))) (/ th kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* 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))))))))) (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ th kx))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) th) (pow (sin ky) 5))))) (/ th (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) th) (pow (sin ky) 7))) (* 3/8 (/ th (pow (sin ky) 5))))))) (/ th (sin ky)))
(/ th kx)
(/ (+ th (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2)))) kx)
(/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2))))) kx)
(/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* 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 (/ (* th (pow (sin ky) 2)) (pow kx 2)))))) kx)
(* -1 (/ th kx))
(* -1 (/ (+ th (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2)))) kx))
(* -1 (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2))))) kx))
(* -1 (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* 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 (/ (* th (pow (sin ky) 2)) (pow kx 2)))))) kx))
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))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))

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 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 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 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (sin.f64 th))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 th (sin.f64 ky)) th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (*.f64 th (sin.f64 ky)) th)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(.f64 th (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 th (sin.f64 ky)) th)) (sin.f64 ky))) (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th (sin.f64 ky)) th)) (.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 (.f64 kx kx) (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/.f64 (+.f64 (.f64 ky (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 (.f64 ky (sin.f64 th)) #s(literal 1/840 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 ky (sin.f64 th)) #s(literal -7/360 binary64)))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (.f64 ky (sin.f64 th)) #s(literal 7/360 binary64)))) (.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/6 binary64))))) kx)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
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(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal 1/120 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) #s(literal -1/6 binary64)))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(/ kx ky)
(/.f64 kx ky)
(* kx (+ (* -1/6 (/ (pow kx 2) ky)) (/ 1 ky)))
(.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky)))
(* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) ky)) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal -1/6 binary64) ky)))))
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) ky)) (* 1/120 (/ 1 ky)))) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
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(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) 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 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(/ (* ky th) kx)
(*.f64 ky (/.f64 th kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* -1/6 (/ th kx)))) (/ th kx)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (+ (* -1/6 (/ th kx)) (* (pow ky 2) (+ (* 1/120 (/ th kx)) (+ (* 1/12 (/ th (pow kx 3))) (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ th kx)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) th) kx) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx 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 (/ th (pow kx 3))) (+ (* -1/6 (/ th kx)) (* (pow ky 2) (+ (* 1/120 (/ th kx)) (+ (* 1/12 (/ th (pow kx 3))) (+ (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* 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 (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ th (pow kx 3))) (* -1/5040 (/ th kx))))))))))))) (/ th kx)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) th) kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) th) kx) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) kx) (.f64 th (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64)))))))) (+.f64 (.f64 (.f64 #s(literal -1/12 binary64) kx) (.f64 th (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 #s(literal -1/5040 binary64) (/.f64 th 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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
(+ 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))) (* 3/8 (/ (* (pow kx 2) th) (pow (sin ky) 4))))))
(+.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 3/8 binary64) (.f64 th (.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) th) (pow (sin ky) 6))) (* 3/8 (/ th (pow (sin ky) 4))))))))
(+.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 -5/16 binary64) (.f64 th (.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))))
(/ (* th (sin ky)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(/ (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))) kx)
(/.f64 (+.f64 (.f64 th (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (.f64 kx kx))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky)))) kx)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 th (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx)))) (*.f64 th (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))))) kx)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 th (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx)))) (.f64 th (sin.f64 ky))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (sin.f64 ky))) (+.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 (/ (* th (sin ky)) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))) kx))
(/.f64 (+.f64 (.f64 th (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky)))) kx))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 th (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx)))) (*.f64 th (sin.f64 ky))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* th (pow (sin ky) 3)) (pow kx 2))) (* th (sin ky))))) kx))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 th (sin.f64 ky)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (.f64 kx kx)))) (.f64 th (sin.f64 ky))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (sin.f64 ky))) (+.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)))) (-.f64 #s(literal 0 binary64) kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(/ th kx)
(/.f64 th kx)
(+ (* -1/2 (/ (* (pow ky 2) th) (pow kx 3))) (/ th kx))
(+.f64 (/.f64 th kx) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (.f64 ky ky))) (.f64 kx (*.f64 kx kx))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* 1/2 (* kx (* (pow ky 2) (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))))) (/ th kx))
(+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 th (.f64 ky ky))) (+.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)))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ th (pow kx 3))) (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (* 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))))))))) (* 1/2 (* kx (* th (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))) (/ th kx))
(+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) kx) (.f64 th (.f64 ky ky))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))))))))))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(* th (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))
(/ th (sin ky))
(/.f64 th (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 3))) (/ th (sin ky)))
(+.f64 (/.f64 th (sin.f64 ky)) (/.f64 (.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))) (* 3/8 (/ (* (pow kx 2) th) (pow (sin ky) 5))))) (/ 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 3/8 binary64) (.f64 th (.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 3))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) th) (pow (sin ky) 7))) (* 3/8 (/ th (pow (sin ky) 5))))))) (/ 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 -5/16 binary64) (.f64 th (.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))))))
(/ th kx)
(/.f64 th kx)
(/ (+ th (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2)))) kx)
(/.f64 (+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx))) kx)
(/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2))))) kx)
(/.f64 (+.f64 th (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))) kx)
(/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* 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 (/ (* th (pow (sin ky) 2)) (pow kx 2)))))) kx)
(/.f64 (+.f64 th (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.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 th (+.f64 (/.f64 (+.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))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))))) kx)
(* -1 (/ th kx))
(-.f64 #s(literal 0 binary64) (/.f64 th kx))
(* -1 (/ (+ th (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2)))) kx))
(/.f64 (+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (* th (pow (sin ky) 2)) (pow kx 2))))) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 th (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx)))))) kx))
(* -1 (/ (+ th (+ (* -1/2 (/ (* th (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* 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 (/ (* th (pow (sin ky) 2)) (pow kx 2)))))) kx))
(/.f64 (+.f64 th (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.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 th (+.f64 (/.f64 (+.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))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 kx kx))))))) (-.f64 #s(literal 0 binary64) kx))
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)))))
(+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) 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)))))
(+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (.f64 kx kx)))) kx))))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(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) (+ (* -1/8 (/ (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 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (+.f64 (+.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 (*.f64 #s(literal 1/16 binary64) (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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (+.f64 (+.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 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) 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)))
(/ (* 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 (*.f64 #s(literal -1/6 binary64) 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 #s(literal -1/6 binary64) 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 #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 (.f64 #s(literal 1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) 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 (.f64 #s(literal 1/12 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (.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))))))) (*.f64 #s(literal 1/120 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
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.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 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.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 (.f64 (.f64 #s(literal 1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(* (* 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)))

eval171.0ms (1.3%)

Compiler: Compiled 20960 to 2366 computations (88.7% saved)

prune251.0ms (1.9%)

Pruning

107 alts after pruning (99 fresh and 8 done)

	Pruned	Kept	Total
New	1052	56	1108
Fresh	18	43	61
Picked	4	1	5
Done	0	7	7
Total	1074	107	1181

Accuracy

100.0%

Counts

1181 → 107

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
	47.0%	(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	10.6%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
	15.3%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
	10.9%	(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
	94.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	25.5%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	35.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	42.2%	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	14.3%	(/.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))))) (/.f64 (sin.f64 kx) ky))
	14.3%	(/.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))))) (/.f64 (sin.f64 kx) ky))
	14.3%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
	9.3%	(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
	11.4%	(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
	11.8%	(/.f64 (*.f64 th (sin.f64 ky)) kx)
	19.4%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	59.1%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	21.3%	(/.f64 (sin.f64 th) (/.f64 (.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))))) ky))
	21.3%	(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
	74.1%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
✓	27.6%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	21.5%	(/.f64 (sin.f64 th) (/.f64 kx ky))
	99.6%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	99.5%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	21.3%	(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
	50.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
	46.8%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
	32.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	24.7%	(/.f64 th (/.f64 (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)) (sin.f64 ky)))
	30.0%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
	25.1%	(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	15.7%	(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
	16.2%	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	14.5%	(/.f64 th (/.f64 (sin.f64 kx) ky))
	18.9%	(/.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)))))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (sin.f64 th) (sin.f64 ky))))
	41.9%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
	13.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
	3.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
	14.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
	28.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	10.0%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
	15.5%	(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
	21.3%	(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
	17.8%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
	32.8%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
	27.0%	(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
	27.6%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
✓	58.8%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
	47.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) th) #s(literal -1 binary64)))
	47.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	50.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
	16.8%	(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
✓	31.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	16.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
	22.5%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	42.1%	(*.f64 (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	24.9%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
	47.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) th)
	27.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
	73.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (sin.f64 ky)))) (sin.f64 th))
	15.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
	31.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	35.1%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	42.1%	(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	46.7%	(.f64 (.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky))
	4.8%	(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
	15.5%	(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
	48.6%	(.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	17.7%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
	46.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	24.6%	(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	31.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	18.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	22.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	19.6%	(.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))))) kx)))
	19.6%	(.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) kx)))
	19.9%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
	9.9%	(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
	14.3%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
	12.7%	(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
	10.3%	(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
	16.1%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	19.8%	(.f64 (sin.f64 ky) (/.f64 th (exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
	13.9%	(*.f64 (sin.f64 ky) (/.f64 th kx))
	32.6%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	31.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	15.8%	(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
	93.0%	(.f64 (sin.f64 ky) (.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)))))))
	20.7%	(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
	15.0%	(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
	14.6%	(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
	15.0%	(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
	15.5%	(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
	6.8%	(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
	9.2%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	62.5%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	18.0%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
	14.5%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	13.6%	(*.f64 ky (/.f64 th kx))
	9.4%	(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
	10.1%	(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
✓	32.8%	(sin.f64 th)
✓	16.2%	th

Compiler

Compiled 4451 to 1774 computations (60.1% saved)

regimes493.0ms (3.8%)

Counts

154 → 1

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(*.f64 (/.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 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (sin.f64 ky) (/.f64 th (exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (.f64 kx kx) #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 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) th) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
(.f64 (.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.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)))))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #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 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))))) (sin.f64 th))

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

Calls

9 calls:

73.0ms	th
62.0ms	ky
53.0ms	(sin.f64 ky)
50.0ms	(sin.f64 kx)
48.0ms	(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)

regimes289.0ms (2.2%)

Counts

130 → 1

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(*.f64 (/.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 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (sin.f64 ky) (/.f64 th (exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (.f64 kx kx) #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 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (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:

42.0ms	kx
40.0ms	(sin.f64 ky)
40.0ms	(sin.f64 kx)
39.0ms	ky
38.0ms	(sin.f64 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)

regimes325.0ms (2.5%)

Counts

129 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(*.f64 (/.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 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (sin.f64 ky) (/.f64 th (exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (.f64 kx kx) #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 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))))

Outputs

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

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

Calls

7 calls:

49.0ms	kx
45.0ms	th
41.0ms	(sin.f64 th)
41.0ms	(sin.f64 kx)
39.0ms	ky

Results

Accuracy	Segments	Branch
78.7%	3	`kx`
78.6%	4	`ky`
81.4%	2	`th`
78.0%	4	`(sin.f64 ky)`
78.2%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
77.3%	3	`(sin.f64 kx)`
81.4%	3	`(sin.f64 th)`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes73.0ms (0.6%)

Counts

125 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(*.f64 (/.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 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (sin.f64 ky) (/.f64 th (exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

1 calls:

56.0ms

th

Results

Accuracy	Segments	Branch
81.3%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes53.0ms (0.4%)

Counts

121 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(*.f64 (/.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 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 th (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))))

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

Calls

1 calls:

37.0ms

th

Results

Accuracy	Segments	Branch
81.1%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes46.0ms (0.4%)

Counts

104 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))

Outputs
(*.f64 (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:

33.0ms

th

Results

Accuracy	Segments	Branch
81.1%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes236.0ms (1.8%)

Counts

99 → 3

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (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 ky (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) th)
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky))
(.f64 (sin.f64 ky) (/.f64 th (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (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)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (sin.f64 ky))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 ky ky)))) #s(literal -1/6 binary64))))) (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky))) (sin.f64 th))

Outputs

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

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

(sin.f64 th)

Calls

6 calls:

62.0ms	th
37.0ms	(sin.f64 kx)
31.0ms	(sin.f64 th)
30.0ms	(sin.f64 ky)
29.0ms	kx

Results

Accuracy	Segments	Branch
70.3%	3	`(sin.f64 ky)`
65.0%	2	`ky`
62.5%	1	`(sin.f64 kx)`
62.5%	1	`kx`
66.9%	3	`(sin.f64 th)`
66.9%	2	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes67.0ms (0.5%)

Counts

91 → 3

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) th)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))

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

Calls

1 calls:

27.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
70.2%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes58.0ms (0.4%)

Counts

80 → 3

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))

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:

46.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
70.2%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes91.0ms (0.7%)

Counts

78 → 3

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)

Calls

3 calls:

32.0ms	(sin.f64 th)
27.0ms	(sin.f64 ky)
22.0ms	th

Results

Accuracy	Segments	Branch
62.5%	1	`(sin.f64 th)`
62.5%	1	`th`
66.7%	3	`(sin.f64 ky)`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes160.0ms (1.2%)

Counts

76 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.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 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))

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

Calls

6 calls:

34.0ms	(sin.f64 th)
25.0ms	ky
24.0ms	(sin.f64 ky)
23.0ms	(sin.f64 kx)
22.0ms	kx

Results

Accuracy	Segments	Branch
47.6%	2	`kx`
48.4%	3	`(sin.f64 kx)`
35.2%	1	`(sin.f64 th)`
39.0%	3	`th`
46.0%	2	`ky`
47.7%	2	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes96.0ms (0.7%)

Counts

70 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky))
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (sin.f64 kx)) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) 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)))) kx)))
(.f64 (/.f64 (sin.f64 ky) (.f64 (.f64 kx (.f64 kx kx)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))) (/.f64 th (sin.f64 kx))))
(.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))))) kx)))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 ky kx)))
(+.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

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

Calls

4 calls:

23.0ms	kx
22.0ms	(sin.f64 ky)
21.0ms	ky
21.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
46.0%	2	`ky`
44.9%	3	`(sin.f64 kx)`
44.4%	2	`kx`
46.0%	2	`(sin.f64 ky)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes22.0ms (0.2%)

Counts

50 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)

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

Calls

1 calls:

15.0ms

ky

Results

Accuracy	Segments	Branch
46.0%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes104.0ms (0.8%)

Counts

47 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))

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

Calls

4 calls:

46.0ms	ky
20.0ms	(sin.f64 ky)
18.0ms	(sin.f64 kx)
14.0ms	kx

Results

Accuracy	Segments	Branch
39.1%	3	`(sin.f64 kx)`
39.1%	2	`kx`
42.4%	2	`(sin.f64 ky)`
41.6%	2	`ky`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes22.0ms (0.2%)

Counts

45 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (-.f64 #s(literal 0 binary64) kx)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))))
(.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (/.f64 (.f64 ky (sin.f64 th)) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky))))
(.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)
(/.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))))) (/.f64 (sin.f64 kx) ky))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))) (sin.f64 kx))
(/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (neg.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (.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))))) 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))))) (/.f64 (sin.f64 kx) ky))
(.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 kx kx)))) (*.f64 ky ky)) kx) (/.f64 #s(literal 1/2 binary64) kx))))))
(.f64 (.f64 ky (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx (.f64 kx kx)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))

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

Calls

1 calls:

13.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
41.8%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
41.7%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes33.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	(sin.f64 ky)
8.0ms	ky

Results

Accuracy	Segments	Branch
41.6%	2	`ky`
41.4%	2	`(sin.f64 ky)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes26.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 th (/.f64 (sin.f64 kx) ky))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.6%	2	`kx`
37.0%	2	`(sin.f64 ky)`
36.9%	2	`ky`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes14.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th kx))

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

Calls

1 calls:

11.0ms

kx

Results

Accuracy	Segments	Branch
37.6%	2	`kx`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(sin.f64 th)

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

Calls

4 calls:

13.0ms	(sin.f64 th)
8.0ms	kx
6.0ms	th
6.0ms	ky

Results

Accuracy	Segments	Branch
32.8%	1	`(sin.f64 th)`
36.6%	2	`ky`
35.3%	2	`th`
36.7%	2	`kx`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes19.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

Inputs
th
(*.f64 ky (/.f64 th kx))
(.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 (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))) th)
(.f64 th (.f64 (.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(.f64 (.f64 th (.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 ky th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx)
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) #s(literal 1 binary64)) (-.f64 (.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 th (.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (*.f64 th th)))) th)))
(.f64 ky (+.f64 (/.f64 th kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (.f64 kx (.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) th) kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (-.f64 (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th))) (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th th)))))) (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 th (*.f64 th th))))))
(.f64 ky (+.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) kx) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (.f64 kx (.f64 kx kx))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) kx)))))
(.f64 th (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 th th))))))

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

Calls

3 calls:

7.0ms	ky
6.0ms	kx
6.0ms	th

Results

Accuracy	Segments	Branch
18.7%	2	`th`
21.7%	2	`ky`
21.3%	2	`kx`

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
16.2%	1	`th`
16.2%	1	`kx`
16.2%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.0022140836719542092	1.1829799148992735

Results

19.0ms

128×

valid

Compiler

Compiled 353 to 242 computations (31.4% saved)

Precisions

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

ival-sin: 7.0ms (48.7% of total)

ival-pow: 4.0ms (27.8% of total)

ival-div: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

ival-mult: 1.0ms (7% of total)

ival-sqrt: 1.0ms (7% 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
26.0ms	0.0022140836719542092	1.1829799148992735

Results

21.0ms

128×

valid

Compiler

Compiled 305 to 210 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 10.0ms (59% of total)

ival-pow: 3.0ms (17.7% of total)

ival-div: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

ival-mult: 1.0ms (5.9% of total)

ival-sqrt: 1.0ms (5.9% 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
24.0ms	0.0022140836719542092	1.1829799148992735

Results

20.0ms

128×

valid

Compiler

Compiled 241 to 162 computations (32.8% saved)

Precisions

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

ival-sin: 7.0ms (52.8% of total)

ival-pow: 3.0ms (22.6% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.0022140836719542092	1.1829799148992735

Results

24.0ms

128×

valid

Compiler

Compiled 241 to 162 computations (32.8% saved)

Precisions

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

ival-sin: 7.0ms (51.8% of total)

ival-pow: 3.0ms (22.2% of total)

ival-div: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

ival-mult: 1.0ms (7.4% of total)

ival-sqrt: 1.0ms (7.4% 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	2.1169843647733053e-7	0.01060149582808568
0.0ms	-0.03739111698958502	-0.0294028793700731

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01060149582808568	0.11127520096536786
0.0ms	-0.03739111698958502	-0.0294028793700731

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01060149582808568	0.11127520096536786
0.0ms	-0.03739111698958502	-0.0294028793700731

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01060149582808568	0.11127520096536786
0.0ms	-0.0294028793700731	7.22032917935623e-303

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.210937518700659e-97	1.7553812083012948e-95

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.210937518700659e-97	1.7553812083012948e-95

Results

15.0ms

112×

valid

Compiler

Compiled 144 to 109 computations (24.3% saved)

Precisions

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

ival-sin: 5.0ms (45% of total)

ival-pow: 3.0ms (27% of total)

ival-div: 1.0ms (9% of total)

ival-add: 1.0ms (9% of total)

ival-mult: 1.0ms (9% of total)

ival-sqrt: 1.0ms (9% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.210937518700659e-97	1.7553812083012948e-95

Results

15.0ms

112×

valid

Compiler

Compiled 144 to 109 computations (24.3% saved)

Precisions

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

ival-sin: 5.0ms (44.9% of total)

ival-pow: 2.0ms (18% of total)

ival-div: 1.0ms (9% of total)

ival-add: 1.0ms (9% of total)

ival-mult: 1.0ms (9% of total)

ival-sqrt: 1.0ms (9% of total)

const: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.210937518700659e-97	1.7553812083012948e-95

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.210937518700659e-97	1.7553812083012948e-95

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.210937518700659e-97	1.7553812083012948e-95

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	6.210937518700659e-97	1.7553812083012948e-95

Results

23.0ms

112×

valid

Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions

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

ival-sqrt: 8.0ms (42.5% of total)

ival-sin: 6.0ms (31.9% of total)

ival-pow: 3.0ms (15.9% of total)

ival-div: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

ival-mult: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.2711458542489626e-15	7.64289791784491e-15

Results

9.0ms

64×

valid

Compiler

Compiled 89 to 66 computations (25.8% saved)

Precisions

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

ival-sin: 4.0ms (58.4% of total)

ival-sqrt: 1.0ms (14.6% of total)

ival-pow: 1.0ms (14.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch53.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	4.2711458542489626e-15	7.64289791784491e-15

Results

50.0ms

64×

valid

Compiler

Compiled 89 to 66 computations (25.8% saved)

Precisions

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

ival-sin: 4.0ms (59.2% of total)

ival-pow: 1.0ms (14.8% 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)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.2711458542489626e-15	7.64289791784491e-15

Results

9.0ms

64×

valid

Compiler

Compiled 85 to 62 computations (27.1% saved)

Precisions

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

ival-sin: 4.0ms (57.4% of total)

ival-pow: 1.0ms (14.4% of total)

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

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

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

const: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	6.210937518700659e-97	1.7553812083012948e-95

Results

16.0ms

112×

valid

Compiler

Compiled 123 to 88 computations (28.5% saved)

Precisions

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

ival-sin: 6.0ms (50.4% of total)

ival-pow: 2.0ms (16.8% 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)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
12×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	420
1	161	420

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 3422735716801577/36028797018963968 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3458764513820541/144115188075855872 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5764607523034235/2305843009213693952 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5188146770730811/2305843009213693952 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 -1080863910568919/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/2361183241434822606848 binary64)) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1080863910568919/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1080863910568919/36028797018963968 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th))
(if (<=.f64 ky #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky)))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 4136441080187897/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (sin.f64 th) (/.f64 kx ky)) (sin.f64 th))
(if (<=.f64 kx #s(literal 7352373481323731/1267650600228229401496703205376 binary64)) (sin.f64 th) (/.f64 th (/.f64 (sin.f64 kx) ky)))
(if (<=.f64 kx #s(literal 6845313241232439/1267650600228229401496703205376 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 kx #s(literal 1077503010193995/158456325028528675187087900672 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th kx)))
(if (<=.f64 ky #s(literal 6974232053805175/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 ky (/.f64 th kx)) th)
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 3422735716801577/36028797018963968 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th))))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3458764513820541/144115188075855872 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3458764513820541/144115188075855872 binary64)) (.f64 (sin.f64 ky) (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5764607523034235/2305843009213693952 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5188146770730811/2305843009213693952 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 -1080863910568919/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/2361183241434822606848 binary64)) (.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1080863910568919/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/2361183241434822606848 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1080863910568919/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1080863910568919/36028797018963968 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th))
(if (<=.f64 ky #s(literal 14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (sin.f64 th) (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1 binary64) ky)))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (.f64 (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (.f64 (sin.f64 th) (/.f64 (/.f64 ky kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 4136441080187897/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (sin.f64 th) (/.f64 kx ky)) (sin.f64 th))
(if (<=.f64 kx #s(literal 7352373481323731/1267650600228229401496703205376 binary64)) (sin.f64 th) (/.f64 th (/.f64 (sin.f64 kx) ky)))
(if (<=.f64 kx #s(literal 6845313241232439/1267650600228229401496703205376 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 kx #s(literal 1077503010193995/158456325028528675187087900672 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th kx)))
(if (<=.f64 ky #s(literal 6974232053805175/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 ky (/.f64 th kx)) th)
th

soundness2.5s (19%)

Rules

7384×	`-lowering-.f32`
7384×	`-lowering-.f64`
6788×	`-lowering-.f32`
6788×	`-lowering-.f64`
6742×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	134
1	192	127
2	1518	117
0	8417	117
0	758	7778
1	2744	7391
2	7629	7387
0	8315	7387
0	743	6098
1	2634	5702
0	8787	5702
0	13	16
1	19	11
2	27	11
3	28	11
0	28	11
0	970	9772
1	3460	9297
0	8193	9297
0	27	104
1	162	100
2	1216	98
0	8373	98
0	405	4445
1	1412	4111
2	5844	4111
0	8117	4111

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

Compiler

Compiled 1954 to 1139 computations (41.7% saved)

preprocess219.0ms (1.7%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1052 to 384 computations (63.5% saved)

Iter	Nodes	Cost
0	27	143
1	59	140
2	106	137
3	193	137
4	251	137
5	284	137
6	284	137
7	285	137
0	285	137

Iter	Nodes	Cost
0	27	143
1	59	140
2	106	137
3	193	137
4	251	137
5	284	137
6	284	137
7	285	137
0	285	137

analyze244.0ms (1.9%)

sample1.7s (12.9%)

preprocess132.0ms (1%)

explain173.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize121.0ms (0.9%)

series37.0ms (0.3%)

rewrite201.0ms (1.5%)

simplify274.0ms (2.1%)

eval76.0ms (0.6%)

prune87.0ms (0.7%)

simplify244.0ms (1.9%)

localize181.0ms (1.4%)

series48.0ms (0.4%)

rewrite343.0ms (2.6%)

simplify405.0ms (3.1%)

eval121.0ms (0.9%)

prune194.0ms (1.5%)

simplify148.0ms (1.1%)

localize241.0ms (1.8%)

series98.0ms (0.7%)

rewrite331.0ms (2.5%)

simplify402.0ms (3.1%)

eval166.0ms (1.3%)

prune150.0ms (1.1%)

simplify16.0ms (0.1%)

localize171.0ms (1.3%)

series32.0ms (0.2%)

rewrite334.0ms (2.6%)

simplify687.0ms (5.2%)

eval171.0ms (1.3%)

prune251.0ms (1.9%)

regimes493.0ms (3.8%)

regimes289.0ms (2.2%)

regimes325.0ms (2.5%)

regimes73.0ms (0.6%)

regimes53.0ms (0.4%)

regimes46.0ms (0.4%)

regimes236.0ms (1.8%)

regimes67.0ms (0.5%)

regimes58.0ms (0.4%)

regimes91.0ms (0.7%)

regimes160.0ms (1.2%)

regimes96.0ms (0.7%)

regimes22.0ms (0.2%)

regimes104.0ms (0.8%)

regimes22.0ms (0.2%)

regimes14.0ms (0.1%)

regimes33.0ms (0.3%)

regimes26.0ms (0.2%)

regimes14.0ms (0.1%)

regimes37.0ms (0.3%)

regimes19.0ms (0.1%)

regimes4.0ms (0%)

bsearch27.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch23.0ms (0.2%)

bsearch38.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch7.0ms (0.1%)

bsearch28.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch53.0ms (0.4%)

bsearch13.0ms (0.1%)

bsearch25.0ms (0.2%)

simplify14.0ms (0.1%)

soundness2.5s (19%)

preprocess219.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	143
1	59	140
2	106	137
3	193	137
4	251	137
5	284	137
6	284	137
7	285	137
0	285	137